The equation y = 8.5x - 77.5 is a linear model for data comparing the
speed that a car is going (x) to the stopping distance it takes for the car to stop
(y). speed is measured in mph and distance in feet. what is the average
stopping distance of a car going 45 mph?

Step-by-step explanation:

The given equation is

Observe that the the ratio of change is 8.5 and the y-intercept is at (0, -77.5).

Where is the speed and is the distance.

So, to find the average stopping distance of a car going at 45 mph, we just replace this value in the given equation

Therefore, the distance is 705 feet.

i believe it's a.

i'm not sure on this one, most likely correct.

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