5 Rectangle WXYZ is located on the coordinate plane. The coordinates for
three of the vertices are listed below. Rectangle WXYZ is dilated by a scale
factor of 2 with a center of dilation at the origin, to form W'X'Y'Z'. What are
the coordinate of vertex X'? *
W (1,6)
Y (3, 2)
z (1,2)
Explain how you determined your answer.
Your answer

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = () = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( ) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

answer: 88

step-by-step explanation: