Dilations-He Said, She Said (12/10)

Emily is correct

Step-by-step explanation:

Given

Shapes JKL and J'K'L'

Required

Determine the scale of dilation

Scale of dilation is calculated as:

Taking LK and L'K as a point of reference,

We have:

and

The scale is then calculated as:

Hence, Emily is correct and Emmitt is incorrect

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.