What single transformation maps ∆abc onto ∆a'b'c'?

Answer-

The triangle is rotated 90° counterclockwise about the origin.

Solution-

Coordinates of the vertices of the triangle ABC are,

A = (-3, 1)

B = (-1, 2)

C = (-2, 1)

Coordinates of the vertices of the triangle A'B'C' are,

A' = (-1, -3)

B' = (-2, -1)

C' = (-1, -2)

While rotating a point (x, y) 90° counterclockwise, it becomes (-y, x)

i.e (x, y) → (-y, x)

So, the triangle is rotated 90° counterclockwise about the origin.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb