Dilate the figure by a scale factor of 3.5. What are the verticals of the image?

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5) ⇒ D

Step-by-step explanation:

If the point (x, y) dilated by scale factor k and center the origin, then its image is the point (kx, ky)

In rectangle JKLM

∵ J = (1, 4), k = (6, 4), L = (6, 1) and M = (1, 1)

∵ The rectangle JKLM is dilated by a scale factor of 3.5

→ By using the rule above multiply each coordinate by 3.5

∴ J' = (1 × 3.5, 4 × 3.5) = (3.5, 14)

∴ K' = (6 × 3.5, 4 × 3.5) = (21, 14)

∴ L' = (6 × 3.5, 1 × 3.5) = (21, 3.5)

∴ M' = (1 × 3.5, 1 × 3.5) = (3.5, 3.5)

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

c is the answer

step-by-step explanation: