What is the factored form of the following expression?
x2 - 10x + 24
a. (x - 4)(x + 6)
b. (x-4)(x-6)
c. (x + 2)(x - 12)
d. (x - 2)(x+12)

The answer is B, (x - 4)(x - 6.)

(x - 4)(x - 6) = x^2 - 4x - 6x + 24 = B, x^2 - 10x + 24

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answer is x<

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)