Which expression is the factorization of x^2 + 10x + 21
a(x + 3)(x + 7)
b(x + 4)(x + 6)
c(x + 6)(x + 15)
d(x + 7)(x + 14)

A

Explanation: The factorization of any equation of the form x^2+bx+c will equal (x+p)(x+q) if p+q=b and p*q=c. We want the equation in which p+q=10 (b) and pq=21(c). The answer is A since 7+3 equals 10 and 7*3 equals 21

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17