Triangle ABC, with A = (-2,3) B = (-4,1) and C = (-3,5), is rotated 90° clockwise about the origin to make Triangle A'B'C'. What are the y-coordinates of B'? select one answer below

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Question
POSSIBLE POINTS: 2
Triangle ABC, with A = (-2,3) B = (-4,1) and C = (-3,5), is rotated 90° clockwise about the origin to make Triangle A'B'C'. What are the y-coordinates of B'?

Select one answer from the 8 below:

-4

-3

-2

-1

1

2

3

4

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation:

0.50 , 0.75

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)