Ask question

Ask question

All categories

2 years ago

6

A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the

image of the dilation. Point P is at (-2, 3) and P' is at (-8, 12). Which rule best represents the dilation? *

1 answer:

WINSTONCH [101]2 years ago

3 0

Answer:

(x, y) → (4x, 4y)

Step-by-step explanation:

<u>Dilation is applied by the rule:</u>

(x, y) → (kx, ky), where k is the scale factor

<u>We have</u>

(x, y) = (-2, 3) and (kx, ky) = (-8, 12)

<u>Substitute and solve for k</u>

-8 = -2k and 12 = 3k ⇒ k = 4

<u>So the rule is</u>

(x, y) → (4x, 4y)

You might be interested in

Solve the equation for x.

liq [111]

Answer:

$x=55$

Step-by-step explanation:

The given equation is $\sqrt{x-6}+3=10$

Group similar terms to get:

$\sqrt{x-6}=10-3$

$\sqrt{x-6}=7$

Square both sides to obtain:

$x-6=7^2$

$x-6=49$

Add 6 to both sides

$x=49+6$

Simplify the right hand side to obtain;

$x=55$

6 0

2 years ago

Will mark brainliest <br> thank you!

Mashcka [7]

Answer:

the answer is D 23/27 cars

Step-by-step explanation:

4 0

2 years ago

Which of the following is a function?

seropon [69]

Answer:

C

Step-by-step explanation:

For any of the functions described above, the only way any of those could be functions is that there has to be a difference value for each x, unless it is the same x-value. If the x is mentioned twice, that is fine, as long as the y point is also the same. If it is different, it is not a function.

7 0

2 years ago

A submarine descends 45 1/2 feet from the ocean surface, clinbs 39 ft, and then descends an additional 18 3/4 ft. What must the

tekilochka [14]

The answer is fill its tanks with air so it floats to the top, but I will solve for the distance since I am nice

so we do
decent means negative
cimb=positive
add

decends 45 and 1/2
-45 and 1/2

climbs 39
+39

decedns 18 and 3/4
-18 and 3/4

add
-45 and 1/2+39-18 and 3/4
add
convert 1/2 to 2/4
gropu negatives
-45 and 2/4-18 and 3/4+39
add
-63 and 5/4+39
-64 and 1/4+39
-25 and 1/4
that is how far dow the submarine is
so the submarine needs to gu 25 and 1/4 ft up to reach the csurface

7 0

3 years ago

Find MN.<br> 4x+19=6x-7<br> Please and thank you.

Sunny_sXe [5.5K]

Answer:

MN = 71

Step-by-step explanation:

You first gotta know the value of x by putting both equations in line!

4x + 19 = 6x - 7

4(13) + 19 = 6(13) - 7

52 + 19 = 78 - 7

71 = 71

<u>Answer:</u> x = 13

Then we already have the length of MN!

<u>Answer:</u> MN = 71

4 0

3 years ago