If the point (8, 6) is the result of the composition /, what are the coordinates of the point prior to the composition? a. (–11, –9) b. (–8, –3) c. (–8, 6) d. (–5, –3)

Solution:

The given point on the coordinate plane = (8,6)

Following Composition can take place

1. Reflection and

2. Translation

3. Reflection and then Translation

4. Translation and then Reflection

Supposing ,(8,6)=Pre image

1. Reflection along X axis

Pre-image(8,6) changes to Image (8,-6)

2. Reflection along Y axis

Pre-image(8,6) changes to Image (-8,6)

If either translation or  (Reflection and then Translation)or (Translation and then Reflection),  i.e in the Pre-image (8,6) has taken place i.e Translation by same amount ( in Horizontally right or left and in vertically up or down has taken place),and then reflection or if reflection has taken place in the beginning and then Translation,  it does not take us to any of the three options i.e A. (–11, –9) B. (–8, –3)  D. (–5, –3).

So, if the point i.e Image (8,6) is the result of the composition, the coordinates of the point prior to the composition will be (-8,6) i.e Pre image, among the option provided  is Option (C), when point(-8,6) is reflected along positive Y axis results in point (8,6).

pls ask

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.