Answer:
4/7
Step-by-step explanation:
If the slope of line d is -7/4, then the slope of a perpendicular is 4/7.
Given a slope, to find the slope of a perpendicular, flip the fraction and change the sign.
Flip -7/4 to get -4/7. Then change the sign of -4/7 to get 4/7.
Answer: 4/7
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
Answer:
128
Step-by-step explanation:
16 + 16 = 32
32 + 32 = 64
64 + 64 = 128
Hope this helps!!
Letter B is the answer
Number of sides (n) = 8
Apothem (a) = 18.11 units
Side (s) = 15 units
Area of Octagon = (1/2)n*a*s
A of O= (1/2)*8*18.11*15
A of O= 1086.6 units^2
Area of Square = s^2
A of S = 15^2
A of S = 225 units^2
Area of Shaded Region = A of O - A of S
A of S.R. = 1086.6 units^2 - 225 units^2
A of S.R. = 861.6 units^2
A of S.R. = 862 units^2
LETTER B
