Please answer this question, will give brainliest!

Please Answer This Question, Will Give Brainliest!

Answers

Answer 1

Answer:

9.9 cm

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of CY

a^2 + b^2 = c^2

CY^2 + YZ^2 = CZ^2

YZ = XY  since CZ is the perpendicular bisector

YZ = 5

CZ = 7

CY ^2 + 5^2 = 7^2

CY^2 +25 = 49

Subtract 25 from each side

CY^2 = 49-25

CY^2 = 24

Take the square root of each side

sqrt(CY^2) = sqrt(24)

CY = 4.898979

CY = 4.9 cm

We want the length of WY

WY = WC + CY

WC is a radius which is 5 cm

WY = 5cm + 4.9cm

WY = 9.9 cm

Answer 2

Answer:

We should work backwards we need to find YC+CW to get YW

angle bisector theorem means that ZC and XC are equal

then we can use the Pythagorean theorem to get YC

5^2 + x = 7^2

YC= √13

CW = 7 because they are both the radius of a circle

YW= 7+√13

YW=10.60 (rounded)


Related Questions

I NEED HELP PLEASE!!
if Q=2.1R+5 find Q when R=5

Answers

Answer:

If Q=2.1(R)+5, then it would be 2.1(5)+5=15.5 ?

Step-by-step explanation:

Max is 33 and smokes. How much would he save next year on a $75,000 policy if he quit smoking compared to if he continued smoking? Show your work or explain how you got your answer.

Answers

Answer:

Max would save $126 if he quit smoking.

Step-by-step explanation:

It is given that the age of max is 33.

From the given table it is clear that the monthly premium for every $25000 of coverage for age group 31-40 non smoker male is 5.50 and smoker male is $9.00.

Total yearly premium for $75000 for non smoker male of 33 age is

[tex]P_1=5.50\times 3\times 12=198[/tex]

Total yearly premium for $75000 for smoker male of 33 age is

[tex]P_2=9.00\times 3\times 12=324[/tex]

If he quit smoking then he save

[tex]Saving=P_2-P_1[/tex]

[tex]Saving=324-198[/tex]

[tex]Saving=126[/tex]

Therefore max would save $126 if he quit smoking.

Emma is building a wall around her burning it has taken 45 minutes and she is 75% done what is the time it will take to finish building her wall

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

45 minutes is 3/4 of the total time

A simple way to do this is to find 1/4 of the time

To do this, divide by 3:

45/3 = 15

15 minutes is 1/4 of the time

To find the whole time, multiply this value by 4:

15 x 4 = 60

Subtract the time already passed from this:

60 - 45 = 15

It will take her 15 more minutes to finish building her wall.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Caleb's puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian's office, what is the percent increase in the puppy's weight rounded to the nearest whole number?

Answers

Answer: 275%

Step-by-step explanation:

Given : The current weight of the puppy : 2,250 grams

The weight of the puppy at the last visit = 600 grams

Increase in weight :-

[tex]2250\text{ grams}-600\text{ grams}=1650\text{ grams}[/tex]

Now, the formula to calculate the percentage increase is given by :-

[tex]\dfrac{\text{Increase in quantity}}{\text{Previous quantity}}\times100[/tex]

The percentage increase in weight is given by :-

[tex]\dfrac{1650}{600}\times100=275\%[/tex]

Hence, the percent increase in the puppy's weight  = 275 %.

Given kite LNOM, what are the lengths of MX and XN ?

Answers

Answer:

Step-by-step explanation:

MX = XN

5r² + 2r + 52 = 4r² + 12r + 27

5r² - 4r² + 2r - 12r + 52 - 27 = 0

r² - 10r + 25 = 0

(r - 5)² = 0

r - 5 = 0

r = 5

4r² + 12r + 27

4•5² + 12•5 + 27

4•25 + 60 + 27

100 + 60 + 27

187

The Second one

I hope I helped you.

Elephant calves are expected to gain a certain amount of weight each day after birth. After the elephant keepers switched to a new formula for daily feedings of the youngest elephants, the keepers tracked the elephants’ weight gains to make sure that it was within a desired range. Would a bar graph or a histogram be better for displaying this data?

Answers

A Histogram would be better for displaying the data

Final answer:

A histogram would be better for displaying the data of elephant calves' weight gains after the switch to a new formula for daily feedings.

Explanation:

A histogram would be better for displaying the data of elephant calves' weight gains after the switch to a new formula for daily feedings. A histogram is useful for displaying the distribution and frequency of a continuous dataset, such as the weight gains of elephant calves. It can show how many calves fall within each weight range, and provide a visual representation of the desired range of weight gain.

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Please help if you can i keep getting stuck

Ice cream in the shape of a sphere sits atop a cone as shown in the diagram below. Assume there is no ice cream inside the cone until after the ice cream melts. The diameter of the sphere and the diameter of the cone are both 4cm, and the height of the cone is 7.5 cm.

Part A: Determine whether the cone could contain all of the ice cream if it melted.

Part B: What would be the smallest cone in height in whole centimeters that would allow the cone to contain all of the melted ice cream if the diameter of the cone remains unchanged.

Part C: If the container of the ice cream changed to a cylinder as shown in the diagram below, what would be the smallest height of the cylinder needed to the nearest whole centimeter to contain the melted ice cream. Assume there is no ice cream n the cylinder before the ice cream melts. Please provide explanations so i can see where i messed up?

Answers

Answer:

Part A) The cone couldn't contain all the ice cream if it melted.

Part B) The height of the cone would be [tex]8\ cm[/tex]

Part C) The height of the cylinder would be [tex]3\ cm[/tex]

Step-by-step explanation:

Part A) Determine whether the cone could contain all of the ice cream if it melted

step 1

Find the volume of the ice cream (sphere)

The volume is equal to

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

we have

[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (2)^{3}=\frac{32}{3}\pi\ cm^{3}[/tex]

step 2

Find the volume of the cone

The volume is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter

[tex]h=7.5\ cm[/tex]

substitute

[tex]V=\frac{1}{3}\pi (2)^{2}(7.5)=\frac{30}{3}\pi\ cm^{3}[/tex]

step 3

Compare the volume of the sphere and the volume of the cone

[tex]\frac{30}{3}\pi\ cm^{3} < \frac{32}{3}\pi\ cm^{3}[/tex]

The volume of the cone is less than the volume of the sphere

therefore

The cone couldn't contain all the ice cream if it melted.

Part B) What would be the smallest cone in height in whole centimeters that would allow the cone to contain all of the melted ice cream if the diameter of the cone remains unchanged

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]V=\frac{32}{3}\pi\ cm^{3}[/tex]

[tex]r=2\ cm[/tex]

substitute in the formula and solve for h

[tex]\frac{32}{3}\pi=\frac{1}{3}\pi (2)^{2}h[/tex]

simplify

[tex]32=(2)^{2}h[/tex]

[tex]32=4h[/tex]

[tex]h=32/4=8\ cm[/tex]

Part C) If the container of the ice cream changed to a cylinder as shown in the diagram below, what would be the smallest height of the cylinder needed to the nearest whole centimeter to contain the melted ice cream

The volume of the cylinder is equal to

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

we have

[tex]V=\frac{32}{3}\pi\ cm^{3}[/tex]

[tex]r=2\ cm[/tex]

substitute in the formula and solve for h

[tex]\frac{32}{3}\pi=\pi (2)^{2}h[/tex]

simplify

[tex]\frac{32}{3}=(2)^{2}h[/tex]

[tex]\frac{32}{3}=4h[/tex]

[tex]h=\frac{32}{12}=2.67\ cm[/tex]

Round to the nearest whole centimeter

[tex]2.67=3\ cm[/tex]

Find the area and the perimeter, i just need the Perimeter thanks

Answers

Answer:

[tex]\large\boxed{P=(3\pi+4)\ ft}[/tex]

Step-by-step explanation:

We have 3/4 of a circle and the square.

The perimeter is equal to the sum of a 3/4 of a circumference of a circle and two sides of a square.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 2 ft. Substitute:

[tex]C=2\pi(2)=4\pi\ ft[/tex]

3/4 of a circumference:

[tex]\dfrac{3}{4}\cdot4\pi=3\pi\ ft[/tex]

The length of a side of a square is a = 2ft.

Calculate the perimeter:

[tex]P=3\pi+(2)(2)=(3\pi+4)\ ft[/tex]

What is the area of a circular wrestling region with a 42 ft diameter

Answers

Answer:

The area of a circular wrestling region with a 42 fr diameter is

A≈1385.44ft²

what is equivalent to (5x-6) (2x+3) ?

a. (5x-6) (2x) + (5x -6) (3)

b. (5x-6) (2x) - (5x-6) (3)

c. (5x) (2x) + (6) (3)

d. (5x-6) (2x) + (-6)(3)

Answers

Option A, because you split the (2x + 3) into 2x and 3.

The expression is equivalent to (5x-6) (2x) + (5x-6) (3).

Option (A) is correct.

It is to find equivalent of (5x-6) (2x+3).

What is polynomial?

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

when we multiply to (5x-6) to (2x+3).

Each term of (5x-6) is multiply to (2x+3).

so (5x-6) is multiply to 2x and (5x-6)  is multiply to 3 separately.

so, the expression is equivalent to (5x-6) (2x) + (5x-6) (3).

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Eight boys and seven girls showed up to one of the team's games. League rules limit each team to 10 players at a time (five girls and five boys) per game. Given this rule, how many combinations of 10 players are there among the 15 boys and girls who showed up at this particular game?

Answers

Answer:

1176 Combinations

Step-by-step explanation:

As mentioned in the question, there are total 8 boys and 7 girls.

Our objective is to create a team with 5 boys and girls each.

To select 5 boys out of 8, we will use combination.

=> 8C5 = [tex]\frac{8!}{5!(8-5!)}[/tex]

=> [tex]\frac{8.7.6.5!}{5!.3!}[/tex]

=> [tex]\frac{8.7.6}{6}[/tex]

=> 56

Similarly,

5 girls are selected using 7C5

=> 21

Therefore, the total combination of players are 56 * 21 = 1176

Which translation results in a circle whose center is at the origin? Question 5 options: Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down. Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down. Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up. Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up.

Answers

Answer:

case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down

Step-by-step explanation:

Verify the 4 Options

case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down

The equation of the circle is

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

The center of the circle is the point [tex](-2,6)[/tex]

The rule of the translation is

[tex](x,y)-------> (x+2,y-6)[/tex]

Applying the rule to the center

[tex](-2,6)-------> (-2+2,6-6)[/tex]

[tex](-2,6)-------> (0,0)[/tex]

Therefore

The translation results in a circle whose center is at the origin

case 2) Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down

The equation of the circle is

[tex](x-1)^{2}+(y+2)^{2}=4[/tex]

The center of the circle is the point [tex](1,-2)[/tex]

The rule of the translation is

[tex](x,y)-------> (x-1,y-2)[/tex]

Applying the rule to the center

[tex](1,-2)-------> (1-1,-2-2)[/tex]

[tex](1,-2)-------> (0,-4)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

case 3) Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up

The equation of the circle is

[tex](x-2)^{2}+(y+3)^{2}=4[/tex]

The center of the circle is the point [tex](2,-3)[/tex]

The rule of the translation is

[tex](x,y)-------> (x+2,y+3)[/tex]

Applying the rule to the center

[tex](2,-3)-------> (2+2,-3+3)[/tex]

[tex](2,-3)-------> (4,0)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

case 4) Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up

The equation of the circle is

[tex](x-3)^{2}+(y-5)^{2}=4[/tex]

The center of the circle is the point [tex](3,5)[/tex]

The rule of the translation is

[tex](x,y)-------> (x-3,y+5)[/tex]

Applying the rule to the center

[tex](3,5)-------> (3-3,5+5)[/tex]

[tex](3,5)-------> (0,10)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

Slaura walks 3/5 mile to school each day. Isaiah walk to school is 3 times as long as Slaura's. How far does Isaiah walk to school each day.

Answers

Answer:

1.8 miles

Step-by-step explanation:

3/5 * 3 for the extra mile that he walks

Answer:

1 4/5 miles to school. 3 3/5 miles if you wanted to know to school AND back.

Step-by-step explanation: You would take the 3/5 of a mile that Slaura walks every day and multiply it by 3. Your equation would be 3/5 x 3/1. Your answer for how many miles Isaiah walk to school everyday is 9/5 or 1 4/5 miles. If you wanted to know how many miles Isaiah walked to school AND back, then you would double 1 4/5 miles.

Tyrone wrote an equivalent expression for 28 + x - 2n + 7 - n - 5x + 4. His equivalent expression was -3n - 5x + 39 + x. What error did Tyrone make?


A. Tyrone neglected to combine the x terms.

B. Tyrone added the constants instead of subtracting them.

C. Tyrone neglected to add the coefficients of the n terms.

D. Tyrone made an error when he added the constants.

Answers

Answer with Step-by-step explanation:

We are given an expression:

28 + x - 2n + 7 - n - 5x + 4

We have to find its equivalent expression

On combining the like terms of the above expression

28+4+7+x-5x-2n-n

= 39-4x-3n

= -3n-4x+39

According to Tyrone the equivalent expression was:

-3n - 5x + 39 + x

The error Tyrone made was:

A. Tyrone neglected to combine the x terms

Answer:

The answer is A

Step-by-step explanation:

A 65 inch wide screen television actually describes the length of the diagonal of a rectangular television with a length of 63 inches. What is the width of the television?

Answers

For this question we need to use the Pythagorean Theorem (a2+b2=c2) since the rectangle is being divided into two triangles.

we know the length of the triangle (63) and we know the hypotenuse (65) but not the width. To find the width, we can plug the values we know into our formula.

(63) squared + b squared = (65) squared

solve.

3969 + b squared = 4225

subtract 3969 from both sides.

b squared = 256

√b² = √256

b=16

84%, percent of Astrid's books are fiction. What fraction of Astrid's books are fiction?

Answers

84%=84/100
84/100=21/25

Unsimplified fraction: 84/100
Simplified fraction: 21/25

How many terms are in the following sequence? 131072, ..., 8, 4, 2

Answers

Answer:

  17 terms

Step-by-step explanation:

131072 = 2^17

8 = 2^3

4 = 2^2

2 = 2^1

Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.

If you have 4 dollars and your mom stole 2 dollars what do you have?

Answers

Answer:

2

Step-by-step explanation:

The perimeter of a playing field for a certain sport is 320 ft. The field is a? rectangle, and the length is 48 ft longer than the width. Find the dimensions.

Answers

Answer:

length: 104 ftwidth: 56 ft

Step-by-step explanation:

Let L and W represent the length and width of the field. Then the perimeter is given by ...

  P = 2(L +W)

Filling in the given information, we have ...

  320 = 2(L +W)

  L = W +48 . . . . . . the length is 48 ft longer than the width

Using the second equation in the first, we get

  320 = 2((W +48) +W)

  320 = 4W +96 . . . . . . simplify

  224 = 4W . . . . . . . . . . subtract 96

  56 = W . . . . . . . . . . . . .divide by 4

  L = 56 +48 = 104 . . . . find L using the above relation

The width of the field is 56 ft; the length is 104 ft.

Final answer:

The width of the playing field is 56 ft and the length is 104 ft.

Explanation:

To solve this problem, let's set up an equation using the information given. Let's say the width of the field is x ft. Since the length is 48 ft longer than the width, the length can be represented as x + 48 ft. The formula for the perimeter of a rectangle is P = 2(l + w), so we can set up the equation: 320 = 2(x + 48 + x). Now, we can solve for x by simplifying and solving the equation.

320 = 2(2x + 48)

320 = 4x + 96

4x = 320 - 96

4x = 224

x = 224/4

x = 56

So, the width of the field is 56 ft and the length is 56 + 48 = 104 ft.

To solve this problem, we must use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

According to the question, the length is 48 ft longer than the width, therefore we could express the length as L = W + 48. The perimeter provided is 320 ft. Now we can plug these values into the perimeter formula.

320 = 2(W + 48) + 2W

After simplification, this formula becomes 320 = 4W + 96.

To isolate W, you subtract 96 from both sides to get: 320 - 96 = 4W + 96 - 96, which simplifies to 224 = 4W. Dividing both sides by 4 gives W = 56 ft. This is the width of the field. The length, then, is 56 ft + 48 ft = 104 ft (since the length is 48 ft longer than the width).

So, the dimensions of the field are 104 feet by 56 feet

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jeffrey is flying a kite but it got caught at the top of a 15 foot tree tha is 60 feet away from where he is standing. if the strong is tight, how long is the string that he has let out?

Answers

Found this on a website! Hope this is helpful!

The prices of five used cars are given below. Which price is an outlier to the data set?




$16,250, $11,495, $10,022, $9,053, $12,244





$9,053



$11,495



$12,244



There are no outliers.

Answers

Answer:

There are no outliers

Step-by-step explanation:

An outlier is a number thats far different than the numbers selected. All of these numbers are close to each  other.

Answer:

Option D. there are no outliers.

Step-by-step explanation:

The given prices of five used cars in the data set we have to find the outlier number.

Outlier number in a data set is very different from the data set values. It may be more greater or more lower numbers from the other numbers.

In the given data set all the numbers are close to each other.

Therefore, Option D. there are no outliers.

If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function". C = {(9, 1) (8, -3) (7, 5) (-5, 3)} Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3} Domain: {1, -3, 5, 3} Range: {9, 8, 7, -5} not a function

Answers

Answer:

Domain: {9, 8, 7, -5}Range: {1, -3, 5, 3}

Step-by-step explanation:

The function is a special relationship where each input has a single output.

We have C = {(9, 1); (8, -3); (7, 5); (-5, 3)}.

It's a function:

each values of x: 9, 8, 7, -5 has one value of y: 1, -3, 5, 3.

The doimain is set os x: {9, 8, 7, -5}.

The range is set of y: { 1, -3, 5, 3}.

F = {(x, y ) | x + y = 10}.

Domain: {10} Range: {10}

how does the area of triangle ABC Compare to the area of parallelogram ghjk

Answers

Answer:

Area of parallelogram divided by 2 is the triangles are.

Area of parallelogram = B x H and triangle area = 1/2 x B x H

Step-by-step explanation:

Answer:

A ) The area of Δ ABC is 2 units greater than area of parallelogram GHJK.

Step-by-step explanation:

Stear Corp. bought a machine on January 1, 2012 for $37,500. The company follows a policy of calculating depreciation using the Written-Down-Value method at 8% per annum. The accounting period of Stear Corp. is from January to December. What will be the amount of depreciation added to the Accumulated Depreciation Account for the year 2013?

A. $5,520
B. $2,760
C. $6,000
D. $5,760

Answers

The answer is D because you add all them

Answer:

2,760

Step-by-step explanation:

PLATO.

A fair coin is tossed three times in succession. Find the probability if getting exactly one tail

Answers

Answer:

If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.

Probability of getting one:

Outcomes with one head (h) = 3

P(1 h) = 3/8 = 0.375

Final answer:

The probability of getting exactly one tail when a fair coin is tossed three times in succession is 37.5%.

Explanation:

The probability of getting exactly one tail when a fair coin is tossed three times in succession can be found using the binomial probability formula.

Let's denote success as getting a tail and failure as getting ahead. The probability of success, denoted as p, is 0.5 since the coin is fair and has an equal chance of landing on heads or tails. The probability of failure, denoted as q, is also 0.5.

Using the binomial probability formula: P(X = k) = [tex]C(n, k) * p^k * q^(n-k)[/tex], we can calculate the probability as follows:

n = 3 (number of trials) k = 1 (number of tails desired) C(n, k) = C(3, 1) = 3 (number of ways to choose 1 tail from 3 trials)[tex]p^k = 0.5^1[/tex] = 0.5 (probability of getting 1 tail)[tex]q^(n-k) = 0.5^(3-1)[/tex] = 0.25 (probability of getting 2 heads)Plug these values into the formula: P(X = 1) = 3 * 0.5 * 0.25 = 0.375 (or 37.5%)

Therefore, the probability of getting exactly one tail when a fair coin is tossed three times in succession is 0.375 or 37.5%.

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The length of the small leg of a 30 -60 -90 degree triangle is 5. What is the perimeter of the triangle?

Answers

Answer:

option (B)

15 + 5√3

Step-by-step explanation:

In a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.

Given in the question,

length of small leg = 5

As we know that

The hypotenuse is equal to twice the length of the shorter leg

hypotenuse = 2(5) =10

The longer leg is equal to multiplying the shorter leg by the square root of 3

other leg = 5√3

Perimeter of a triangle = sum of the length of three sides

                                     =  5√3 + 10 + 5

                                     = 15 + 5√3

Do you think this graph looks more like a quadratic or exponential function? Why do you think so?

Answers

Answer:

Exponential Function

Step-by-step explanation:

The y-axis represents the number of Bacteria and x-axis represents the number of hours. If you observe closely you will see that the number of bacteria are doubling after each hour. For example, at time = 4 hours the number of Bacteria were about 50, at time = 5 hours the number of Bacteria were about 100 and at time = 6 hours the number of Bacteria increased to about 200.

This type of behavior is a property of exponential functions where we see a multiplicative rate of change in the values i.e. each value is a multiple of previous value. A rough model for this function would be:

[tex]f(x)=f(0)(2)^{x}[/tex]

Where, f(0) represents the number of bacteria at time = 0 hours i.e. number of Bacteria initially present and "x" represents the number of hours.

Describe how to translate the graph of g(x) = ln x into the graph of f(x)= ln (-5)+5

Answers

Answer:

B

Step-by-step explanation:

We know:

1. Replacing -x into x of an equations reflects the graph on the y-axis

2. If f(x) is a function, then f(x)+a is a vertically translated graph of the original graph, a units up

Looking at the original function of ln x and the transformed graph of ln(-x) +5, we see that we have replaced x with -x, which means it is a reflection across the y-axis.

Also, we have added a five after the function, so that means it is a vertical translation of 5 units up.

Looking at the answer choices, we see that B is the correct answer.

20 points!!! Please Help

Does the equation x2 - 4x + y2 = -3 intersect the x-axis?

Answers

Answer:

Yes, twice

Step-by-step explanation:

The equation will intersect the x-axis when y = 0, so we have

x² - 4x = -3    now solve this quadratic for x...

  x² - 4x + 3 = 0    

factor...

(x - 3)(x - 1) = 0,

so at x = 1 and x = 3, the function crosses the x-axis

See the graph below

Yes, because the center is on the x-axis, the circle will intersect 2 times, at x=1 and at x=3

Use factoring and the zero-product property to solve the following problems.

Answers

Answer:

see explanation

Step-by-step explanation:

Divide through by 2

2a² - 5a + 3 = 0

To factor the quadratic

Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 3 = 6 and sum = - 5

The factors are - 2 and - 3

Use the factors to split the a- term

2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )

2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)

(a - 1)(2a - 3) = 0

Equate each factor to zero and solve for a

a - 1 = 0 ⇒ a = 1

2a - 3 = 0 ⇒ 2a = 3 ⇒ a = [tex]\frac{3}{2}[/tex]

Answer:

a = 3/2 or 1

Step-by-step explanation:

4a²-10a+6=0

(Divide by 2)

2a²-5a+3=0

(Now factorise)

(2a-3)(a-1)

a = 3/2 or 1

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