Answer:
y=9
Step-by-step explanation:
slope is (y2-y1)/(x2-x1), so we plug in the values. (-4-y)/(0 - (-2)). so we get -4-y/2 since zero minus negative 2 is positive 2. given the slope is -13/2, -4-y must be equal to negative 13. So we set an equation of -13 = -4 - y. We add 4 to 13, and get -9 = -y. We multiply each side by a -1, and we get y equals 9.
We can check this by plugging 9 back into our original slope equation. (-4-9)/(0-(-2) which gives us -13/2.
Answer:
4x - 36 feet
Step-by-step explanation:
The area A of a square whose sides are s units is given as
A = s * s
Given that the area A = x^2-18x+81, factorizing
A = x^2-9x-9x+81
A= x(x-9)-9(x-9)
A = (x-9)(x-9)
A = (x-9)^2
This means that the size of each side of the square courtyard is x-9 feet long
Recall that the perimeter P of a square whose side is s long is given as
P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard
P = 4(x-9)
= 4x - 36 feet
a. The marginal densities
and
b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:
