A figure has vertex B(-7, -3). The figure is dilated such that the image has vertex B'(-7/3, -1). If the center of dilation is the origin, find the value of k.

the answer is 3 im like 50 50 with that but i tried

hope this helped

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 7 by 3 and keep only what is to the left of the decimal point:

7 / 3 = 2.3333 = 2

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

 7 - (3 x 2) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 7/3 as a mixed number is:

21  

       3   well 2 and 1/3rd

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)