Please help me with the process to find the answer for #3, #4 and #5

Thank you it’s very much appreciated! :)

Please Help Me With The Process To Find The Answer For #3, #4 And #5Thank You Its Very Much Appreciated!

Answers

Answer 1

#3 When you set the proportion make sure you pick sides that oppose same angle and take them in same order (for example big triangle first and small second)

( 2x+2)/10= (x-2+3)/(x-2);

(2x+2)(x-2)=10(x+1);

2x^2 -4x+2x-4=10x+10;

2x^2 -2x-4-10x-10=0;

2x^2 -12x-14=0; divide by 2

X^2 -6x-7=0; factor

(X-7)(x+1)=0 so x=7 and x=-1

Reject x=-1 because we can’t have negative dimensions so x=7 is the solution


Related Questions

A. 3
B. 5
C.9
D. 15

Answers

Answer: 15

Step-by-step explanation

Answer:

3

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}2x+3y=9\\-2x+2y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad5y=15\qquad\text{divide both sides by 5}\\.\qquad\qquad\boxed{y=3}[/tex]

Zero is _____ a divisor.
a.always
b.sometimes
c.never

Answers

ANSWER

c. never

EXPLANATION

When we have

[tex]\frac{a}{b}[/tex] in mathematics, we call b the divisor.

In mathematics, division by zero is not defined.

We cannot divide a function, or a number by zero and get a value.

That is why, there is the restriction, b≠0

Therefore, zero is never a divisor.

The correct answer is C

what kind of equation is (-2v^2 + v – 3) + (5v^2 + 6v + 4)

Answers

Well I guess I can do it tomorrow but I’m not sure if it’s a good

Geometry 1-3 Answers if u can

Answers

The answer are:

1.D

2.C

3.A

Explanation is in above pictures.

Which of the following statements are true?
1. The difference between -14 and -8.3 is positive.
II. -14 + 8.3 has the same value as the difference between -1.4 and -8.3.
HII. The between -8.3 and -14 has the same value as the difference between -1.4 and -8.3.
É
only
A of the statements are true.
None of the statements are true​

Answers

Answer:

None of the statements are true​

Step-by-step explanation:

Given statements are:

I. The difference between -14 and -8.3 is positive.

II. -14 + 8.3 has the same value as the difference between -1.4 and -8.3.

III. The between -8.3 and -14 has the same value as the difference between -1.4 and -8.3.

Test for statement (I).

difference = -14-(-8.3) = -14+8.3 = -5.7

which is negative so statement I is FALSE.

Test for statement (II).

-14+8.3 = 5.7

difference = -14-(-8.3) = -14+8.3 = -5.7

which are different so statement II is FALSE.

Test for statement (III).

difference = -8.3-(-14) = -8.3+14 = 5.7

which is different than difference value -5.7 for statement I.

so statement III is FALSE.

So the correct choice is "None of the statements are true​".

17. Which of the following is the correct formula for finding power in a DC circuit? A. P = I2R B. P = VR C. P = IR D. P = V2I

Answers

Answer:

Choice A. P = I² · R where

P is the power in the DC circuit,I is the current through the circuit, andR is the total resistance of the circuit.

Step-by-step explanation:

Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work [tex]W[/tex] that the electrical force do when it moves charges [tex]Q[/tex] across a potential difference [tex]V[/tex]:

W = [tex]V\cdot Q[/tex].

The power is the rate at which the electrical force do the work:

[tex]\displaystyle P = \frac{W}{t} = V \cdot \frac{Q}{t}[/tex].

On the other hand, current [tex]I[/tex] is the charge through a cross-section of the circuit in unit time. By the definition of current:

[tex]\displaystyle\frac{Q}{t} = I[/tex].

[tex]\displaystyle P =V \cdot \frac{Q}{t} = V\cdot I[/tex].

Consider Ohm's Law:

[tex]V = I \cdot R[/tex].

Therefore

[tex]\displaystyle P = V\cdot I = (I \cdot R) \cdot I = I^{2}\cdot R[/tex].

Choice-A is one of several useful, correct formulas for electrical power.  It's true in AC circuits as well as DC ones.

What is the slope of the line that passes through (-2,7) and (4,9)

Answers

[tex]

s=\frac{\Delta{y}}{\Delta{x}}=\frac{9-7}{4+2}=\boxed{\frac{2}{6}=\frac{1}{3}}

[/tex]

Hope this helps.

r3t40

please answer these two before 1:20 pm please!!! thank you!!!

Answers

Answer:

21. D

22. A

Step-by-step explanation:

What is the value of s in the figure below?

Answers

Final answer:

The value of 's' is calculated using the formula s = re, where e is the angle in radians and r is the radius in meters, which can also be determined statistically.

Explanation:

The value of s in the given physics problem represents the distance between two objects separated by an angle, when they are a certain distance r apart. According to the information and by using the formula s = re, where e is the angle in radians and r is the radius in meters (converted from millimeters), we can substitute the known values to find s. Since S = 80×109 N/m² is the shear modulus and given the small value of Kåp, we assume that s will be significantly small compared to 0.040. Additionally, the value of s can also be found using statistical methods, as indicated by a computer or calculator output showing s = 16.4 as the standard deviation in a set of residuals.

Help with this, thanks.

Answers

Answer:

The first blank is "y", the second blank is "x", and the third blank is 1:3.

A function of the form f(x)=ab^x is called an exponential ___________function, when b is greater than 1

Answers

If the base (b) is greater than one is called an exponential growth, if it smaller than one it called an exponential decay.

A function of the form f(x)=ab^x is called an exponential exponential growth function, when b is greater than 1

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ in mathematics, where x is the independent variable.

It is given the exponential function :

f(x) = abˣ  and b>1

Therefore, If the base (b) is greater than one is called an exponential growth, if it smaller than one it called an exponential decay.

Learn more about exponential expression here:

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Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minutes?

Answers

Answer:

70 times

Step-by-step explanation:

12 * 5 = 60

28 * 5 = 140

140/2 = 70

"70 times" your friend can clap his hands in 0.5 minutes.

According to the question,

Friend clap,

28 times in 12 seconds.

then,

→ [tex]12\times 5 =60 \ times[/tex]

→ [tex]28\times 5 = 140 \ times[/tex]

In 0.5 minutes, he clap.

= [tex]\frac{140}{2}[/tex]

= [tex]70 \ times[/tex]

Thus the response above is appropriate.

Learn more about time here:

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Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude. Which statement describes the slope of the line of best fit for the data? The temperature decreases by about 0.9° for each 1 degree increase north in latitude. The temperature decreases by about 1.7° for each 1 degree increase north in latitude. The temperature increases by about 0.8° for each 1 degree increase north in latitude. The temperature increases by about 1.3° for each 1 degree increase north in latitude.

Answers

Answer: B

Step-by-step explanation: edge2022

A 254–foot tall radio tower is located partway between a building and a tree. The angle of elevation from the base of the building to the top of the tower is 36°, and the angle of elevation from the base of the tree to the top of the tower is 62°. What is the distance from the base of the building to the base of the tree (rounded to the nearest foot)?

Answers

Answer:

485 ft

Step-by-step explanation:

step 1

Find the distance from the base of the building to the base of the radio tower

Let

x -----> the distance from the base of the building to the base of the radio

we know that

tan(36°)=254/x

x=254/tan(36°)=349.60 ft

step 2

Find the distance from the base of the tree to the base of the radio tower

Let

x -----> the distance from the base of the tree to the base of the radio tower  

we know that

tan(62°)=254/x

x=254/tan(62°)=135.05 ft

step 3

Find the distance from the base of the building to the base of the tree

Adds the distances

349.60 ft+135.05 ft=484.65 ft

Round to the nearest foot

484.65 ft=485 ft

The final distance is approximately 485 feet.

Calculating the Distance from the Building to the Tree

To determine the distance from the base of the building to the base of the tree given the angles of elevation to the top of the radio tower, we can use trigonometry.

Let the height of the radio tower be 254 feet. Assume the distance from the base of the building to the base of the tower is x feet, and the distance from the base of the tree to the base of the tower is y feet.

Step-by-Step Solution:

Using the angle of elevation from the building, 36°, we can write:

tan(36°) = 254 ÷ x

Solving for x: x = 254 / tan(36°)

Using the angle of elevation from the tree, 62°, we can write:

tan(62°) = 254 ÷ y

Solving for y: y = 254 / tan(62°)

Calculate the values:

tan(36°) ≈ 0.7265

x = 254 / 0.7265 ≈ 349.6 feet.

tan(62°) ≈ 1.8807

y = 254 ÷ 1.8807 ≈ 135.1 feet.

The total distance from the base of the building to the base of the tree is x + y:

Total distance = 349.6 + 135.1 ≈ 485 feet.

Thus, the distance from the base of the building to the base of the tree is approximately 485 feet.

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

Answers

MN is 63 mm.

Since triangles MPQ and NQP are similar, we have the following

proportion:

[tex]\frac{MQ}{NP} = \frac{QP}{MN}[/tex]

Substituting the given values, we have:

[tex]\frac{30}{10} = \frac{21}{MN}[/tex]

Solving for MN, we get:

[tex]MN = \frac{21 \times 30}{10} = 63 mm[/tex]

Therefore, MN is 63 mm.

What is the scale factor from figure A to figure B?

Answers

Answer:

Figure A sides are 1/4 the size of Figure B

The top of Figure A = 4, the top of Figure B = 1.

Divide 1 by 4 to get the scale factor, which is 1/4 as a fraction or 0.25 as a decimal.

Step-by-step explanation:

PLEASE HELP!
Questions are in attachment below :)

Answers

Answer:

Step-by-step explanation:

1 option 2c

1. The equation of a circle with center (h,k) and radius r units is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The given circle has center (5,-2) and a radius r=3 units.

We substitute these values into the formula to get:

[tex](x-5)^2+(y--2)^2=3^2[/tex]

This simplifies to:

[tex](x-5)^2+(y+2)^2=9[/tex]

The correct answer is A.

2.  The given circle has center (3,-5) and radius r=8 units.

We substitute the given values into the formula to obtain:

[tex](x-3)^2+(y--5)^2=8^2[/tex]

We simplify to get:

[tex](x-3)^2+(y+5)^2=64[/tex]

The correct answer is C

3. The given circle has equation:

[tex](x+8)^2+(y+9)^2=169[/tex]

We can rewrite this equation as:

[tex](x--8)^2+(y--9)^2=13^2[/tex]

Comparing this to

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is (-8,-9) and the radius is 13.

The correct answer is A.

4. The given circle has equation:

[tex](x-7)^2+y^2=225[/tex]

We can rewrite this equation as:

[tex](x-7)^2+(y-0)^2=15^2[/tex]

Comparing this to

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is (7,0) and the radius is 15.

The correct answer is B.

5. The given circle has center (-2,6) and passes through (-2,10).

We can use the number line to find the radius.

[tex]r=|10-6|=4[/tex]

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We substitute the center and the radius into the formula to get:

[tex](x--2)^2+(y-6)^2=4^2[/tex]

This simplifies to:

[tex](x+2)^2+(y-6)^2=16[/tex]

The correct answer is A

6. The given circle has center (1,2) and passes through (0,6).

We can use the distance formula to find the radius.

[tex]r=\sqrt{(1-0)^2+(2-6)^2}=\sqrt{17}[/tex]

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We substitute the center and the radius into the formula to get:

[tex](x-1)^2+(y-2)^2=\sqrt{17}^2[/tex]

This simplifies to:

[tex](x-1)^2+(y-2)^2=17[/tex]

The correct answer is C

True or false: When it's argument is restricted to (0,2pi), the polar form of a complex number is *not unique*.

Answers

Answer:

The CORRECT answer is False

Step-by-step explanation:

I just took the test and got it correct!!

cos x + i sin x in the range 0 to 2pi will be unique so false.

What do you mean by complex number?

Complex numbers exist the numbers that exist expressed in the form of a+ib where, a, and b are real numbers, and 'i' exists an imaginary number named “iota”. The value of i = (√-1).

The abbreviated polar form of a complex number exists z = rcis θ, where r = √(x2 + y2) and θ = tan-1 (y/x).

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8. Thus, the range could also be defined as the difference between the highest observation and lowest observation.

Hence, cos x + i sin x in the range 0 to 2pi will be unique so false.

To learn more about polar form of a complex number, refer

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A 25-foot long board is to be cut into two parts. The longer part is one foot more than twice the shorter part. How long is each part?

Answers

17 and 8

Step-by-step explanation:

8 is the shortest board so multiply 8 by 2 add the 1 foot more gives you 17

Three times a number increased by 8 is at most 40 more than the number

Answers

Final answer:

The verbal statement 'three times a number increased by 8 is at most 40 more than the number' is expressed as the inequality 3x + 8 ≤ x + 40 in mathematical terms. This inequality simplifies to x ≤ 16, indicating that the original number must be 16 or less.

Explanation:

The question involves translating a verbal statement into a mathematical inequality. The phrase 'three times a number increased by 8 is at most 40 more than the number' can be represented algebraically. Begin by letting the variable 'x' represent the unknown number. The phrase 'three times a number' translates to '3x', 'increased by 8' means we add 8, and 'is at most' indicates that the expression is less than or equal to something. '40 more than the number' is translated to 'x + 40'. Combining these elements, we have the inequality 3x + 8 ≤ x + 40.

To solve this inequality, we would subtract 'x' from both sides to get 2x + 8 ≤ 40, and then subtract 8 from both sides to find 2x ≤ 32. Next, we would divide both sides by 2 to get x ≤ 16. This tells us that the original number must be 16 or any number less than 16 to satisfy the condition described in the question.

Understanding how to translate verbal statements into mathematical expressions and inequalities is a fundamental math skill. Knowing terms such as 'at most' is crucial for setting up the correct inequality. This situation is an application of basic algebra to interpret and solve problems.

The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with a speed of 65 meters per second can be modeled by the parabola: y=x-0.0023x^2, where the x-axis is the ground. Find the height point of the trajectory and the horizontal distance the potato travels before hitting the ground.

Answers

Step-by-step explanation:

The highest point of a parabola is at the vertex.

x = -b / (2a)

x = -1 / (2×-0.0023)

x ≈ 217.4

y = (217.4) − 0.0023 (217.4)²

y ≈ 108.7

The horizontal distance can be found when the potato lands (y=0):

0 = x − 0.0023x²

0 = x (1 − 0.0023x)

x = 0, x ≈ 434.8

So the potato reaches a maximum height of 108.7 m and travels a horizontal distance of 434.8 m.

Final answer:

The height point of the trajectory is 217.39 meters and the horizontal distance the potato travels before hitting the ground is 434.78 meters.

Explanation:

To find the height point of the trajectory and the horizontal distance the potato travels before hitting the ground, we can use the equation y=x-0.0023x^2 to represent the trajectory. Since the trajectory is a parabola, the height point corresponds to the vertex of the parabola. To find the vertex, we can use the formula x = -b / (2a), where a = -0.0023 and b = 1. To find the horizontal distance the potato travels before hitting the ground, we need to find the x-intercepts of the parabola, which correspond to the points where y = 0.

First, let's find the height point:

Using the formula x = -b / (2a) and substituting the values, we get:

x = -1 / (2 * (-0.0023)) = 217.39 meters

Now, let's find the horizontal distance:

Setting y = 0 and solving for x, we get:

0 = x - 0.0023x^2

0 = x(1 - 0.0023x)

x = 0 or x = 434.78 meters

Therefore, the height point of the trajectory is 217.39 meters and the horizontal distance the potato travels before hitting the ground is 434.78 meters.



ΔABC undergoes a dilation, with a scale factor of 5, to form ΔA'B'C'.



Side A'B' is 5 times the length of side AB.


What is the area of ΔA'B'C', compared to the area of ΔABC?


A. The area of ΔA'B'C' is 1/5 of the area of ΔABC.

B. The area of ΔA'B'C' is 1/25 of the area of ΔABC.

C. The area of ΔA'B'C' is 25 times the area of ΔABC.

D. The area of ΔA'B'C' is 5 times the area of ΔABC.


Answers

Answer:

option C

Step-by-step explanation:

The volume of box A is 2/5 the volume of box b. What is the height of box A if it has a base area 32 square centimeters​

Answers

The length of the edge of the bases is x = 4 and x=1.79.

What is the volume of the box?

The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.

The volume of a box with a square base and a height of 2 cm is 32cm for box A and the volume of a box with a square base and a height of 10cm is 32cm.

What is the length of the edge of the bases?

The volume of the box = length × width × height

Therefore, we are going to make use of Equation (1) to determine the solution to this question, so that we have;

For Box A; We are given our volume to be equal to 32cm^3, height = 2cm, length and width = x cm.

For Box B IS;

[tex]\rm 32 = 2x^2\\\\x^2 = 16\\\\x^2=4^2\\\\x=4[/tex]

Here  Length = width.

For box B;

[tex]\rm 32 = 10x^2\\\\x^2=\dfrac{32}{10}\\\\x^2=3.2\\\\x=1.79[/tex]

Hence, the length of the edge of the bases is x = 4 and x=1.79.

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The volume of a sphere is 2 comma 143.57 m cubed. To the nearest meter​, what is the radius of the​ sphere? Use 3.14 for pi.

Answers

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \sqrt[3]{\cfrac{6430.71}{4\pi }}=r\implies \stackrel{\pi =3.14}{7.9999956 \approx r}\implies \stackrel{\textit{rounded up}}{8=r}[/tex]

What are the zeros of the function? f(x)=3x^2−24x+36 Enter your answers in the boxes. The zeros of f(x) are and

Answers

[tex]

f(x)=3x^2-24x+36 \\

0=3(x-2)(x-6) \\

0=(x-2)(x-6)

[/tex]

There will be 2 solutions.

[tex]

x-2=0\Longrightarrow\boxed{x_1=2} \\

x-6=0\Longrightarrow\boxed{x_2=6}

[/tex]

Hope this helps.

r3t40

The zeros of the function f(x) = 3x^2 - 24x + 36 are found using the quadratic formula to be x = 6 and x = 2.

The zeros of the function f(x) = 3x2 \- 24x + 36 are the values of x for which f(x) equals zero. To find the zeros, we set the quadratic equation equal to zero and solve for x. This can be done using the quadratic formula x = (-b \\pm (sqrt{b2 \(- 4ac})/(2a), where a = 3, b = -24, and c = 36. Applying the quadratic formula:

Calculate the discriminant: \(( -24 )2 \- 4 * 3 * 36 = 576 \- 432 = 144)Take the square root of the discriminant: \sqrt{144} = 12Apply the values to the quadratic formula: \x = (24 \pm 12) / 6Solve for the two possible values of x: \x = 6, \x = 2

Therefore, the zeros of the function are x = 6 and x = 2.

which expression is equivalent to 6 × 2/3​

Answers

Answer:

[tex]\large\boxed{6\times\dfrac{2}{3}=4}[/tex]

Step-by-step explanation:

[tex]6\times\dfrac{2}{3}=\dfrac{6^{:3}}{1}\times\dfrac{2}{3_{:3}}=\dfrac{2}{1}\times\dfrac{2}{1}=2\times2=4[/tex]

The Greatest common factor between 14 and 24​

Answers

The greatest common factor between 14 and 24 is 2 because

The factors of 14 that divides 14 without a remainder are 1,2, and 7

The factors of 24 that divides 14 without a remainder are 1,2,3,4,6,8,and 12

Therefore 2 is the greatest factor between 14 and 24.

For this case we have that by definition, the Greatest Common Factor or GFC of two numbers is given by the biggest factor that divides both without leaving residue. We should look for the GFC of 14 and 24.

14: 1,2,7,14

24: 1,2,3,4,6,8,12,24

Thus, it is observed that the GFC of both numbers is 2.

Answer:

2

since there are 6.6 laps in a mile, how many laps will you have to make to run 5 miles?

Answers

Answer:

33 laps

Step-by-step explanation:

we know that

There are 6.6 laps in a mile

so

using proportion

Find how many laps will you have to make to run 5 miles

so

Let

x ----> the number of laps

[tex]\frac{6.6}{1}\frac{laps}{mile}=\frac{x}{5}\frac{laps}{mile} \\ \\x=6.6*5\\ \\ x=33\ laps[/tex]

What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter. The figure is not drawn to scale.

Answers

To find the volume of a rectangular prism, multiply the 3 side lengths by each other.

Volume  = 7.9 x 6.3 x 12.4 = 617.148 cubic cm.

Rounded to the nearest tenth = 617.2 cubic cm.

Answer: [tex]617.1\text{ cm}^3[/tex]

Step-by-step explanation:

In the given picture, we have a rectangular prism.

Height : 7.9 cm

Length = 12.4 cm

Width = 6.3 cm

The volume of a rectangular prism is given by :-

[tex]V=l\times w\times h[/tex], where l is length, w is width and h is height of the prism.

Now, the volume of a rectangular prism will be :-

[tex]V=12.4\times 6.3\times 7.9\\\\\Rightarrow\ V=617.148\approx617.1\text{ cm}^3[/tex]

Hence, the  volume of a rectangular prism = [tex]617.1\text{ cm}^3[/tex]

What is the range of the function f(x) = 3x^2 + 6x - 8?

Answers

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS*.

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