Triangle abc has vertices at a(–2, 3), b(–3, –6), and c(2, –1). is triangle abc a right triangle? if so, which angle is the right angle?

a.) no, the triangle has no right angles.
b.) yes, the right angle is angle a.
c.) yes, the right angle is angle b.
d.) yes, the right angle is angle c.

D

Step-by-step explanation:

the slope of AC is -1, and the slope of BC is 1. Perpendicular slopes are opposite and negative, meaning you take the reciprocal of the slope and multiply it by -1 to get the perpendicular slope. 1 has a reciprocal of 1, and multiply by -1 gives -1.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

what "following statement"?

step-by-step explanation: