AXYZ has vertices at (0.0), (6,9), and (15.0). Y (6,9)
X (0, 0)
Z (15, 0)
AXYZ is dilated by a scale factor of
about the origin.
What are the coordinates of the vertices of the image?
OA (0,0).(2,3), (5.0)
OD. (0,0).(8,12).(20,0)
OR ( }).2.3), (55)
OE ( ).(8,12), (20,3)
Oc (0.01.(4.0) (10,0)

The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0) ⇒ (A)

Step-by-step explanation:

Let us talk about dilation

→ If point (x, y) dilated with scale factor m about the origin, then

→ Its image is (m x, m y)

Let us solve the question

∵ ΔXYZ has vertices:

→ X = (0, 0)

→ Y = (6, 9)

→ Z = (15, 0)

∵ ΔXYZ is dilated by a scale factor 1/3 about the origin

→ Multiply each coordinate in each vertex by the scale factor 1/3

∵  (0 × , 0 ×   )

∴ X' = (0, 0)

∵  (6 × , 9 ×   )

∴ Y' = (2 , 3)

∵  (15 × , 0 ×   )

∴ Z' = (5, 0)

∴ The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0)

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: