Graph Y
It’s the only one that makes sense.
Hope that helps!

First, find the slope perpendicular to
. We can do this by finding the opposite reciprocal.
Multiply the slope by
and write the result as a fraction.

Flip the numerator and the denominator.

This is the slope of line
. Since lines
and
are perpendicular, this is also the slope of line
.
Write the formula for point-slope form.

Substitute in the values for line
.

Simplify the negative subtraction.

Distribute the
to the
.

Subtract
— which is equivalent to
— from both sides.

Answer:
y = 3x² + 54x + 240
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 9, - 3), thus
y = a(x + 9)² - 3
To find a substitute either of the roots into the equation
Using (- 8, 0), then
0 = a(- 8 + 9)² - 3
0 = a - 3 ( add 3 to both sides )
a = 3
y = 3(x + 9)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² + 18x + 81) - 3
= 3x² + 54x + 243 - 3
= 3x² + 54x + 240 ← in standard form
The set of possible integers is 1, 2, 3, 4, and 5.
The area of a circle with radius of n centimeters = π(n)^2.
So, the set of possible values are:
n area = π(n^2)
1 π
2 4π
3 9π
4 16π
5 25π
And the expected value of the area may be determined as the mean (average) of the five possible areas:
expected value of the area = [ π+ 4π + 9π + 16π + 25π] / 5 = 11π ≈ 34.5575, which rounded to the nearest hundreth is 34.56
Answer: 34.56
It is probably B x has to be more than 7 but can be equal 7 at the same time.