A 22m ladder and a 20m ladder were leaned against a building. The bottom of the longer ladder was 4m farther from the building than the bottom of the shorter ladder, but both ladders reached the same distance up the building. Find this distance to the nearest tenth.


12.2m


15.3m


18.1m


19.2m

Answers

Answer 1

Answer:

Both ladder reaches 18.1 m up the building ⇒ 3rd answer

Step-by-step explanation:

* Lets study the information to solve the problem

- There are two ladders

- The lengths of them are 22 m and 20 m

- The bottom of the longer was 4 m farther than the bottom of the

  shorter from the building

- Both of them reached the same distance up the building

* Lets solve the problem

- Let the distance between the bottom of the shorter ladder to the

 building is x

∵ The bottom of the longer ladder is farther by 4

∴ The distance between the bottom of the longer ladder and the

   building is x + 4

- Let the ladders reached the distance h up the building

* Now we have two right triangles

# Their hypotenuses are 22 and 20

# Their heights are h

# Their bases are x + 4 , x

- Lets find h in each triangle using the rule of Pythagoras

∵ (hypotenuse)² = (leg 1)² + (leg 2)²

# The longer ladder

∵ hypotenuse = 22

∵ leg 1 = x + 4

∵ leg 2 = h

∴ (22)² = (x + 4)² + h² ⇒ simplify

∴ 484 = (x + 4)² + h² ⇒ subtract (x + 4)² from both sides

∴ h² = 484 - (x + 4)² ⇒ (1)

# The shorter ladder

∵ hypotenuse = 20

∵ leg 1 = x

∵ leg 2 = h

∴ (20)² = (x )² + h² ⇒ simplify

∴ 400 = x² + h² ⇒ subtract x² from both sides

∴ h² = 400 - x² ⇒ (2)

- Equate (1) , (2) to find x

∴ 484 - (x + 4)² = 400 - x² ⇒ Add (x + 4)² and subtract 400 in both sides

∴ 84 = (x + 4)² - x² ⇒ open the bracket

∴ 84 = x² + 2(4)(x) + 4² - x² ⇒ simplify

∴ 84 = 8x + 14 ⇒ subtract 16 from both sides

∴ 68 = 8x ⇒ divide both sides by 8

∴ x = 8.5

- Substitute this value of x in (1) or (2) to find h

∵ h² = 400 - x²

∴ h² = 400 - (8.5)² = 327.75 ⇒ take √ for both sides

∴ h = 18.1

* Both ladder reaches 18.1 m up the building


Related Questions


What is the volume of the space between the cylinder and the sphere?

500/3π cubic inches
500π cubic inches
250/3π cubic inches
750π cubic inches
250π cubic inches

Answers

Answer:

250/3π cubic inches

Step-by-step explanation:

we know that

The volume of the space between the cylinder and the sphere is equal to the volume of the cylinder minus the volume of the sphere

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]h=10\ in[/tex]

[tex]r=5\ in[/tex]

substitute

[tex]V=\pi (5)^{2} (10)[/tex]

[tex]V=250\pi\ in^{3}[/tex]

step 2

Find the volume of the sphere

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=5\ in[/tex]

substitute

[tex]V=\frac{4}{3}\pi (5)^{3}[/tex]

[tex]V=(500/3)\pi\ in^{3}[/tex]

step 3

Find the difference

[tex]250\pi\ in^{3}-(500/3)\pi\ in^{3}=(250/3)\pi\ in^{3}[/tex]

Please help me out with this!!!!! Help is much needed !

Answers

here the centre of circle(h,k) is (-2,4)

and its radius(r) is 6 uints.

now the equation of circle is,

(x-h)^2 +(y-k)^2 =r^2

or, (x+2)^2 + (y-4)^2=6^2

or, x^2 + 4x + 4+y^2 -8y+16=36

or, x^2 +y^2 + 4x -8y -16=o

For which values of x, rounded to the nearest hundredth, will x 2 − 9 | | | | − 3 = log3 x?

Answers

Answer:

2.3 and 3.6

Step-by-step explanation:

Final answer:

To solve the equation x^2 - 9|||-3 = log3 x, simplify both sides of the equation and then find the values of x that satisfy the equation.

Explanation:

To find the values of x that satisfy the equation, we can start by simplifying both sides of the equation.

On the left side, we have x^2 - 9|||-3. To simplify this, we first evaluate the absolute value of -3, which is 3. Then we have x^2 - 9(3), which simplifies to x^2 - 27.

On the right side, we have log3 x.

Setting the two sides equal to each other, we have x^2 - 27 = log3 x.

To solve this equation, we can graph both sides and find the intersection points, or we can use numerical methods like iteration or Newton's method to find the approximate solutions.

Vector u has its initial point at (-7, 2) and its terminal point at (11, 5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?

A. [tex]v= \ \textless \ -54, 63\ \textgreater \ [/tex]
B. [tex]v= \ \textless \ -162, -63\ \textgreater \ [/tex]
C.[tex]v= \ \textless \ -54, 21\ \textgreater \ [/tex]
D. [tex]v= \ \textless \ -162, 21\ \textgreater \ [/tex]

Answers

Here,

the initial point of vector u(x1,y1)=(-7,2)

the final point of vector u (x2,y2)=(11,5)

so the component of vector u(x,y)=(x2,y2)-(x1,y1)

=(11+7,5-2)=(18,3)

according to the question, the magnitude of vector is thrice the magnitute of vector u and is opposite ot the ditecrion of vector u.

so the component of vector v is -3(x,y)

=-3(18,3)=(-54,-9)

A spinner has five equal sections that are numbered 1 through 5.

In which distributions does the variable X have a binomial distribution?

Select EACH correct answer.




When the spinner is spun three times, X is the sum of the numbers the spinner lands on.

When the spinner is spun multiple times, X is the number of spins until it lands on 5.

When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

When the spinner is spun five times, X is the number of times the spinner lands on 1.

Answers

Answer:

Step-by-step explanation:

X has a binomial distribution when the probability of X is the same for each spin.

When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

When the spinner is spun five times, X is the number of times the spinner lands on 1.

Answer with explanation:

Total number of sections in the spinner = 1 to 5=5 in all

For, a Distribution to be a Binomial Distribution,

Number of trials  should be fixed.

All trials should be Independent of one another.

Only two outcomes  are Possible one is called Success and Other is failure.

Probability of each Outcome should remain constant irrespective of number of trials.

Probability of getting either of 1,2,3,4,or 5 when the spinner is spun once

    [tex]=\frac{1}{5}[/tex]

Option C

When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

Probability of Failure ={1,3,5}=Getting odd number on spinner

          [tex]=\frac{3}{5}[/tex]

Probability of Success={2,4}=Getting even number on spinner

       [tex]=\frac{2}{5}[/tex]

Number of trials is fixed and each trial is independent of another.

Option D

Total Number of Trials= 5

Probability of Success = When the Spinner is spun and it Lands on 1

Probability of Failure = When the Spinner is spun and it does not Land on 1

When the Spinner is spun five times ,Probability of each Outcome,that is either of 1,2,3,4,or 5 is constant which is [tex]\frac{1}{5}[/tex]

⇒⇒When the spinner is spun five times, X is the number of times the spinner lands on 1.

→≡Option C and D

The faces of triangular pyramid have a base of 5cm and a height of 11cm what is the lateral area of the pyramid

Answers

Answer:

55cm

Step-by-step explanation:

11 x 5 = 55, so the area of the pyrmid is 55cm.

Answer:You will have to multiply 55 x 5 because if the base if 5 cm and the height is 11 cm which equals to 55 and a pyramid has 5 faces, so the answer will be 220. I hoped this helped! :)

Step-by-step explanation:

An anthropologist finds that a prehistoric bone contains less than 8.1% of the amount of Carbon-14 the bones would have contained when the person was alive. How long ago did the person die? (The constant for Carbon-14 is 0.00012.)

19,000 years

20,944 years

21,048 years

23,028 years

Answers

Answer:

20,944 years

Step-by-step explanation:

The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years.  We are given the k value of .00012.  If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon.  What's left then is 8.1%.  Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal.  We can use the 8.1.  Here's the formula:

[tex]N(t)=N_{0} e^{-kt}[/tex]

where N(t) is the amount left over after the decay occurs, [tex]N_{0}[/tex] is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years.  Filling in accordingly,

[tex]8.1=100e^{-.00012t}[/tex]

Begin by dividing the 100 on both sides to get

[tex].081=e^{-.00012t}[/tex]

Now take the natural log of both sides.  Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.

ln(.081)= -.00012t

Take the natual log of .081 on your calculator to get

-2.513306124 = -.00012t

Now divide both sides by -.00012 to get t = 20,944 years

The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of the source and the range of the signals

Answers

Answer:

position: (-6, -4)

range: 6

Step-by-step explanation:

The equation is that of a circle centered at (-6, -4) with a radius of √36 = 6. We presume that the "position" is that of the circle's center, and the "range" is the radius of the circle.

___

The standard form equation of a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

Matching parts of the equation, we find ...

h = -6, k = -4, r = √36 = 6.

The source of the radio signal is at the point (-6, -4), and the range of the signals is within a circular area with a radius of 6 units.

The equation given, (x + 6)² + (y + 4)² = 36, is a mathematical representation of a circle in a Cartesian plane. This equation indicates that the source of the radio signal is at the center of the circle, which is the point (-6, -4).

The number 36 on the right side of the equation is the square of the radius of the circle, which implies that the radius of the circle is 6 units. Hence, the range of the signals emitted from the source is limited to a circular area with a radius of 6 units around the point (-6, -4).

What can you conclude from the diagram below?

Answers

Explanation:

E is the midpoint of ABF is the midpoint of CBEF is the midline of ΔABC, hence ║ACH is the midpoint of ADG is the midpoint of CDGH is the midline of ΔACD, hence ║AClength of EF = length of GH = 1/2 length of ACEFGH is a parallelogramΔEBF ~ ΔABCΔHGD ~ ΔACDarea relationships can be derived from the fact that the similar triangle scale factors are 1:2

___

Similar relationships pertain to the diagonal BD and segments EH and FG. You can also conclude that area EFGH is half of area ABCD by considering the various triangles you get by connecting midpoints different ways.

Really need answer, don't understand what it want:

Answers

Answer:

y ≈ - 3.8

Step-by-step explanation:

Given the 2 equations

5x + 2y = 21 → (1)

- 2x + 6y = - 34 → (2)

To eliminate the terms in x , multiply (1) by 2 and (2) by 5

10x + 4y = 42 → (3)

- 10x + 30y = - 170 → (4)

Add (3) and (4) term by term

(10x - 10x) + (4y + 30y) = (42 - 170)

34y = - 128 ( divide both sides by 34 )

y ≈ - 3.8 ( to the nearest tenth )

I really really REALLY NEED HELP ON this!!!


Simplify: 4^sqrt(400)/4^sqrt(5) Show your work.

Answers

Answer:

[tex]2\sqrt[4]{5}[/tex]

Step-by-step explanation:

First, you calculate the quotient which is [tex]\sqrt[4]{80}[/tex]

Then you simplify the radical which is [tex]2\sqrt[4]{5}[/tex]

Inputting this in a calculator will give you 2.99 which is also correct.

he points A, B, C, and D are on a number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D ? (1) The distance between C and A is the same as the distance between C and B. (2) A is to the left of D on the number line. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statements (1) and (2) TOGETHER are NOT sufficient. Next Help End Review Review Screen

Answers

Answer:

Statements (1) and (2) TOGETHER are NOT sufficient.

Step-by-step explanation:

If the point order is DCAB or CDAB (or the reverse of either of these), then the BD distance will be 36±8 units. It cannot be determined.

__

If the point order is AD(BC) or A(BC)D, then the BD distance is the same as the CD distance, which is given as 8. In this scenario, point B and C lie at the same place on the number line.

__

So, we have 3 possible values of BD, even when both statements are used together. TOGETHER, the statements aren NOT sufficient.

Brianna and Maddie rode their bikes on Saturday. Maddy rode twice as much as Brianna. Together they rode for 162 minutes. How many minutes did each girl ride?

Answers

Answer: brianna rode for 54 minutes and maddie rode for 108 minutes.

Step-by-step explanation:

let the time for which brianna rode be = x

(since maddie rode twice as brianna then,)

let the time for which maddie rode be = 2x

(together they rode for 162 minutes. so,)

x + 2x = 162

3x = 162

x = 162/3

=>x = 54

=>2x = 54*2 = 108

hope it helps

How do you do this problem?

Answers

Answer:

[tex]\boxed{x = 8}[/tex]

Step-by-step explanation:

1. Jump discontinuity

In the graph, you can see that the left-hand limit of g(x) as x⟶ 8 is 3 and the right-hand limit is -3.

When the left- and right-hand limits at x = 8 exist but are different, we say that g(x) has a jump discontinuity at [tex]\boxed{\textbf{x = 8}}[/tex].

2. Other discontinuities

At x = 10, the left-hand limit is ∞ and the right-hand limit is -∞. Both one-sided limits are infinite, so this is an infinite discontinuity.

At x= 1, both one-sided limits are equal, but g(1) does not exist,

At x= 4, the limits are equal, and g(4) = 3.

In each case, the holes can be removed by redefining g(x), so the holes are removable discontinuities.

WILL MARK BRAINLEST
The graph shows two lines, A and B.
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 0, 6 with the ordered pair 6, 3. Another straight line labeled B joins the ordered pair 0, 0 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answers

Answer:

Part A) The system has one solution

Part B) The solution is the point (4,4)

Step-by-step explanation:

step 1

Find the equation of the line A

we have

(0,6) and (6,3)

Find the slope

m=(3-6)/(6-0)

m=-0.5

Find the equation of the line into slope intercept form

y=mx+b

we have

m=-0.5

b=6 -----> the point (0,6) is the y-intercept

substitute

y=-0.5x+6 ------> equation A

step 2

Find the equation of the line B

we have

(0,0) and (6,6)

Find the slope

m=(6-0)/(6-0)

m=1

Find the equation of the line into slope intercept form

y=mx+b

we have

m=1

b=0 -----> the line represent a direct variation

substitute

y=x ------> equation B

step 3

Find how  many solutions does the pair of equations for lines A and B have

we have

y=-0.5x+6 ------> equation A

y=x ------> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both lines

using a graphing tool

There is one point of intersection

therefore

The system has one solution

see the attached figure

step 4

What is the solution to the equations of lines A and B?

we know that

The solution of the system of equations is the intersection point both lines

The intersection point is (4,4)

therefore

The solution is the point (4,4)

so

x=4,y=4

Can the polynomial in the numerator of the expression x2-5x+7/x-9 be factored to derive (x − 9) as a factor?

Answers

Answer:

No.

Step-by-step explanation:

Because x²-5x+7, as x = 9 is 9²-5·9+7 = 81-45+7 ≠ 0

f(x) = x²-5x+7 is divisible by x-9 only if f(9) = 0.

Karen finished watching a movie at 1:10 pm. The movie lasted 1 hour 38 minutes what time did Karen started watching the movie

Answers

well, the movie lasted 1:38   so.... and she finished it at 1:10pm.

1:10pm minus 1 hour?  12:10pm.

12:10 pm minus 10 and minus 28 minutes?   12:10 - 00:10 = 12:00pm, 12:00 - 00:28 minutes = 11:32am.

Answer: 11:32

Step-by-step explanation:

What is the product of these numbers?
(1 + 2i)(2 + i)


1 − 5i


1 + 5i


0 − 5i


0 + 5i

Answers

Answer:

  0 + 5i

Step-by-step explanation:

Multiply these the way you would any binomials, then replace i² with -1.

  (1 +2i)(2 +i) = 1·2 +1·i +(2i)·2 +(2i)·i

  = 2 + i + 4i + 2i² . . . . . the partial products

  = 2 +5i -2 . . . . . . . . . . after replacement of i² = -1

  = 0 +5i

Domain and Range...

Answers

The domain is the X values and the range is the y values.

The blue line starts at X 0 and Y 0 and moves up and to the right.

This means the range and domain are equal to or greater than 0.

The 3rd choice is the correct one.

Juan drew a right triangle with leg lengths of 6 centimeters and 8 centimeters. He wants to draw another right triangle that is similar to the first one. Which could be the lengths of the legs?

Answers

Final answer:

The lengths of the legs of a similar triangle to the one Juan drew, which has leg lengths 6cm and 8cm, could be 12 cm and 16 cm because the sides of similar triangles are proportional.

Explanation:

Juan's right triangle has leg lengths of 6 centimeters and 8 centimeters. To find a similar right triangle, we need ratios of corresponding sides to be equivalent or proportional. As these are right triangles, we can use the Pythagorean theorem which states that a² + b² = c². If the original triangle has sides 6 cm and 8 cm, then triangle with proportional sides could have sides that are multiple of these dimensions, such as 12 cm (which is 6cm x 2) and 16 cm (which is 8cm x 2). So, one example of a similar triangle could have leg lengths of 12 cm and 16 cm.

Learn more about Similar Triangles here:

https://brainly.com/question/34830045

#SPJ12

What is the area of a circle with radius of 3 inches? Use pie =3.14 A .18.84 square roots B .28.26 square roots C .9.42 square roots D .113.04 square roots

Answers

Answer:

B. 28.26

Step-by-step explanation:

First you have to find the circumference:

R²= 3²=9

Then you multiply your circumference by 3.14 to get you answer:

9·3.14=28.26

Cody hiked at an average speed of 1 mile per hour for 5 hours on Saturday. He hiked an average speed of 2 miles per hour for 3 hours on Sunday. Which explanation correctly tells how to calculate the total number of miles that Cody hiked in two days? Step 1: Divide 1 ÷ 5. Step 2: Divide 2 ÷ 3. Step 3: Subtract the two quotients. Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products. Step 1: Divide 1 ÷ 5. Step 2: Divide 2 ÷ 3. Step 3: Add the two quotients. Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Subtract the two products.

Answers

Answer:

Step 1: Multiply 1x5 Step 2: Multiply 2x3 Step 3: Add the two products

d=v*t

d=distance

v=velocity(speed)

t=time

distance is equal to the product of velocity and time, equation form;

d=vt

Any questions please feel free to ask. Thanks!

A certain country's consumer price index is approximated by a(t) = 100e0.024t, where t represents the number of years. use the function to determine the year in which costs will be 50% higher than in year 0.

Answers

Answer:

[tex]\boxed{\text{Year 17}}[/tex]

Step-by-step explanation:

[tex]a(t) = 100e^{0.024t}[/tex]

Data:

a(t) = 150

a(0) = 100

Calculations :

[tex]\begin{array}{rcll}150 & = & 100e^{0.024t} & \\\\1.50 & = & e^{0.024t} & \text{Divided each side by 100}\\0.4055 & = & 0.024t & \text{Took the ln of each side}\\t & \approx & \mathbf{17} & \text{Divided each side by 0.024}\\\end{array}[/tex]

[tex]\text{The consumer price index will be 50 \% higher in } \boxed{\textbf{year 17}}[/tex]

2(3y − 1)(y − 3) is the factored form of

Answers

Answer:

6 y² - 20 y + 6

Step-by-step explanation:

Multiply step by step the terms inside the brackets:

3y * y

3y * -3

-1 * y

-1 * -3

add those up to get 3y² - 10 y + 3

multiply all terms of the result by 2

Answer:

6y^2 - 20y + 6.

Step-by-step explanation:

2(3y − 1)(y − 3)

= 2 [ 3y(y - 3) - 1(y - 3)]

= 2 (3y^2 - 9y - y + 3)

= 2(3y^2 - 10y + 3)

= 6y^2 - 20y + 6.

Katie is going to rent an apartment and has to choose the number of bedrooms the apartment has, the type of parking she will use, and the length of the lease that she will sign. She has three options for the number of bedrooms (one, two, or three bedrooms), three options for the type of parking (street, assigned, or garage spots), and four options for the length of the lease (1, 6, 12, or 24 months.) How many possible combinations are there for the number of bedrooms, parking options, and the length of the lease that Katie could select?

How many possible combinations are there for the number of bedrooms, parking options, and the length of the lease that Katie could select?

72
36
27
48
10

Answers

Answer:

  36

Step-by-step explanation:

The total number of options is the product of the numbers of independent options: 3×3×4 = 36.

__

For each of the bedroom options, she can choose any parking option, so can have ...

  1 br, street parking

  2 br, street parking

  3 br, street parking

  1 br, assigned parking

  2 br, assigned parking

  3 br, assigned parking

  1 br, garage spots

  2 br, garage spots

  3 br, garage spots

That is, 3×3 = 9 options. Any of these can be put with any of the four lease options, for a total of 9×4 = 36 options altogether.

The answer would be 36

The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable.

What is the practical domain for the function f(x)?




A. all positive integers that are multiples of 5

B. all whole numbers

C. all positive integers

D. all real numbers

Answers

Answer:

B

Step-by-step explanation:

The domain is all possible values of x.  Here, x is the number of $5 nontaxable items.  So x must be an integer, and it can't be negative.  It is possible for x to be 0.  So x is all whole numbers.

The practical domain for the function f(x) which represents the total amount spent at a store is all whole numbers. Option B is correct.

What is domain of function?

Domain of a function is the set of all the possible input values which are valid for that function.

The function ​f(x) represents the total amount spent at a store.  The purchasing number of x items which are $5 each and the items which are not taxable is represented by x.

Thus, this function can be given as,

f(x)=5x

Now the domain of a function is the set of all the possible input values which are valid for that function. Thus, for this case the domain is,

-∞<x<∞

(-∞,∞)

For the practical domain, the numbers should be whole number to avoid negative amount value and integer amount.

Hence, the practical domain for the function f(x) which represents the total amount spent at a store is all whole numbers. Option B is correct.

Learn more about the domain of the function here;

https://brainly.com/question/2264373

#SPJ2

Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. 10.5cm,20.8cm,23.3cm

6cm, 22.9cm,20.1cm

Answers

Answer:

10.5cm,20.8cm,23.3cm — yes6cm, 22.9cm,20.1cm — no

Step-by-step explanation:

If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.

1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle

__

2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle

Function 1: y = 4x + 5
Function 2: The line passing through the points (1, 6) and (3, 10).

Which of these functions has the greater rate of change?

Answers

Answer:

B

Hope this helps!

Answer:

B

Step-by-step explanation:

The rate of change is the slope.  Function 1 has a slope of 4.  Function 2 has a slope of:

m = Δy / Δx

m = (10 - 6) / (3 - 1)

m = 4 / 2

m = 2

So function 1 has the greater rate of change.  Answer B.

Which of the following equations represents Exponential Decay?


y=−3x+5


y=3(0.8)x


y=−3x−5


y=0.8(3)x

Answers

Answer:

y=3(0.8)x

Step-by-step explanation:

An exponential function is a function of the form;

[tex]y=ab^{x}[/tex]

The explanatory variable x is the exponent, a is the initial value and b the base of the exponential function.

The function is said to be an exponential decay function if the base is between 0 and 1;

0<b<1

Therefore, y=3(0.8)^x is the required function. The values of y become smaller as x increases.

Please help me out!!!!!!!!

Answers

Answer:

(x-2)²+(y--2)²=9

Step-by-step explanation:

The center moves to the right by 2 so its x-2

The center moved down 2 so its y+2 or y--2

The radius is 3 so we square that to get what it equals (9)

Other Questions
Which of the following terms best describes a black bear A shortage can be either short-term or long-term, but it is not an ongoing condition.Please select the best answer from the choices providedTF In a restaurant, who is responsible for managing revenue and expenses while advising on the overall financial health of the business? A 900-kg car traveling east at 15.0 m/s collides with a 750-kg car traveling north at 20.0 m/s. The cars stick together. What is the speed of the wreckage just after the collision? Which virus has a structure that includes an outer lipid bilayer that is studded with proteins? Which statement would best describe the graph of the function What is the best example of how the media creates cultural diffusion? Identify the directors who are hired during the pre-production stage of a film or theater production.___________ are hired to start building the sets. They ensure that the creation is in line with the production designers expectations, and control the look and feel of the work. They also supervise the costumes, makeup, and props.___________ are hired to recommend the actors required for a production. They hold auditions for actors. They also help to negotiate the terms of a proposed contract between the actor and the producer.1.art directorcasting directorassistant director2.art directorcasting directorassistant director What is the greatest common factor of 8x and 40? Why do althletes stretch before a game What is the last letter of a four letter word meaning "clever, witty, or sarcastic remark"? 4.Which information would best be shown on a pie graph?the improvement of test scores at a school over the last seven yearshow many people attended each of three concerts on the same nighthow much of your total budget you spent on clotheshow many copies of a song sold each day for a week Which describes energy changes during nuclear fission?PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!!A very large amount of energy is produced from a tremendous mass.A very large amount of energy is produced from a series of chemical reactions.A very large amount of energy is produced from a very small mass. What do the amphoras mentioned in Marge Piercys, To Be of Use symbolize?A The inherent beauty of simple, functional objectsB The toil of manual labor across different culturesC The hypocrisy of intellectuals who see beauty only in formal works of art How to solve 1/3(12-9y) step by step How to solve 1/4(-16x+8) step by step both are separate questions you dont need to tell me the answer, but could you tell me the formula on how to get the answer ? The most important reason for using an outline is to help you _____ publish information. research information. organize information. revise information. PLEASE PLEASE HELP ME ANSWER THIS What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4 1.) The difference in the brightness of two stars with the same surface temperature is attributable to their _____.colorsdensitiesagessizes2.) Most responsible for the formation of a star is _____ force.electromagneticgravitationalinterstellarnuclear3.)Which main-sequence stars are the most massive?yelloworangeredblue4.) A spinning neutron star that appears to give off radio wave pulses is called a _____.supernovawhite dwarfpulsarblack hole5.) Greater redshifts in the spectra of galaxies indicate _____.faster speedslower temperaturesslower speedshigher temperatures Steam Workshop Downloader