Solve. Answer with a number only. -2/5(x+6)=10

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know $x = 6$ & $kx = 7.2$

Substituting 6 for x in the equation $kx = 7.2$ , we get $6k = 7.2$ .

Dividing 6 on both sides $\frac{6k}{6}=\frac{7.2}{6}$

Simplifying fractions on both sides $k=1.2$

Point A from the diagram is (-3, 3)

x-coordinate of A' = $kx=1.2 * -3 = -3.6$

y-coordinate of A' = $ky =1.2*3=3.6$

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

6 0

4 years ago

Read 2 more answers

What is the sum?

Nikitich [7]

This is the answers from MathPapa

4 0

3 years ago

At the school play abby handed out 250 programs and kim handed out 300 what is the ratio of the number of programs abby handed o

photoshop1234 [79]

A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,

Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)

Ratio = 250 / 300 = 5/6

Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

3 0

2 years ago

What is the equation of the line that goes through the points (-5,-1) and (5,5)?

Margaret [11]

Answer:

y = 3/5 x + 2.

Step-by-step explanation:

Use the point-slope equation of a straight line:

y - y1 = m (x - x1) where m = the slope amd (x1, y1) is a point on the line.

Here:

m = (5- (-1)) / (5 - (-5))

= 6/10

= 3/5.

Substituting for m and (5, 5):

y - 5 = 3/5(x - 5)

y - 5 = 3/5x - 3

y = 3/5 x + 2.

3 0

3 years ago

Prove that <br><img src="https://tex.z-dn.net/?f=4cot45%20%5E%7B2%7D%20%20-%203tan%20%5E%7B2%7D%2060%20%2B%202sec%20%5E%7B2%7D60

sesenic [268]

Answer:

$4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\$

$LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\$

let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.

here ,

$\cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2$

now ,

we just have to plug in the values considering certain other things given in the question and we're done!

so let's start ~

$4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS$

hence , proved ~

hope helpful :D

7 0

3 years ago