First you'll have to bring the equation in form y = mx + b.
4y = -x - 32
y = -1/4 x - 8
So the slope is -1/4 and y-intercept is -8
Hope this helps :)
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
2
Step-by-step explanation:
Basically I use rise over run, or rise ÷ run.
The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.
Answer:
656.25m^3
Step-by-step explanation:
Also 1/2 is equivalent to 0.5
25*17.5*1.5=656.25
Answer:
the answer is 29
Step-by-step explanation:
a^2 + b^2 = c^2 (btw ^ means to the power)
a and b are the legs. c is the hypotenuse
21^2 + 20^2 = c^2
441 + 400 = 481
then we have to square it.
the square root of 481= 29.
btw the hypotenuse is always going to be bigger than the legs.
hope it helps!! btw it is right!
