Select the correct answer. a triangle with vertices at a(0, 0), b(0, 4), and c(6, 0) is dilated to yield a triangle with vertices at a′(0, 0), b′(0, 10), and c′(15, 0). the origin is the center of dilation. what is the scale factor of the dilation?

* The scale factor of the dilation is 2.5

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

 figure does not change.

- The scale factor, measures how much larger or smaller

 the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertices of the triangle is A (0 , 0) , B (0 , 4) , C (6 , 0)

  and its image A' is (0 , 0) , (0 , 10) , (15 , 0)

∵ 10 ÷ 4 = 2.5

∵ 15 ÷ 6 = 2.5

∴ The scale factor is 2.5

∵ 2.5 > 1

∴ The image of the triangle will be larger

* The scale factor is 2.5

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.

i dont know if you cant find a way its best to actually add all of them start from 105 tho

step-by-step explanation: