Factoring Expressions - Item 2782
Factor the expression 3y2 +12y.

Step-by-step explanation:

3y(y + 4).

Step-by-step explanation:

3y^2  + 12y

We first need to find the Greatest Common Factor of the 2 terms:

The GCF of 3 and 12  is 3.

The GCF of y^2 and y = y.

So the required GCF is 3y.

Now we divide the expression by 3y to get the factors. The quotient goes into the parentheses:

(3y^2 + 12y) / 3y =  y + 4  so the factors are:

3y(y + 4).

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

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)