The preimage ∆ABC has points at A(2,-2), B(5,-4), and C(1,-6) and is dilated by a certain scale factor from a certain center of dilation. The image of ∆A'B'C' has points at A'(-6,8), B'(3,2), and C'(-9,-4). Use only algebraic reasoning (NO GRAPHING) to find the coordinates of the center of dilation. Show all work used below and provide a complete written justification for your answer. Explain what you did and why you did it.

the answer is: the length is 5/6 yards.

give me a or a 5 star rating if this is correct!

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

the correct option is b

step-by-step explanation: