Which statement explains how you could use coordinate geometry to prove the diagonals of a quadrilateral are perpendicular?
use the slope formula to prove the slopes of the diagonals are the same.
use the slope formula to prove the slopes of the diagonals are opposite reciprocals.
use the distance formula to prove the lengths of the diagonals are the same.
use the distance formula to prove the midpoints of the diagonals are the same.

option b is correct.

step-by-step explanation:

we have to prove that diagonals of a quadrilateral are perpendicular

the diagonals are perpendicular if the slopes of the diagonals are:

m₁ = -1/m

so, use the slope formula to prove the slopes of the diagonals are opposite reciprocals.

hence option b is correct.

step-by-step explanation:

a and d

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).