Line p contains the points (9,7) and (13,5). which equation represents a line perpendicular to line p?

y = 2x + 3

Step-by-step explanation:

As we go from (9,7) to (13,5), x increases by 4 and y decreases by 2.  Thus, the slope of line p is m = rise/run = -2/4, or m = -1/2.

A line perpendicular to p will have a slope that is the negative reciprocal of the slope of p:  -1 / {-1/2}, or m = 2.

One example of such a perpendicular line is y = 2x + 3.  Here I borrowed the slope m and invented the y-intercept, b.

the answer is 489

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct