Answer:
A
Step-by-step explanation:
Rectangular Pyramid
A = LW
A = 72
L = W + 1
72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0
W + 9 = 0
W = -9......extraneous solution...does not work here
W - 8 = 0
W = 8 <==
L = W + 1
L = 8 + 1
L = 9
so the width (W) is 8 ft and the Length is 9 ft
Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
Answer:
y = x + 4
Step-by-step explanation:
The equation of the line is
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Give points
( 2 , 6) ( -2 ,2)
x1 = 2
y1 = 6
x2 = -2
y2 = 2
m = 2 - 6 / -2 - 2
m = -4 / -4
m = 1
y = mx + c
y = 1x + c
y = x + c
Step 2: sub any of the two points given into the equation
( 2 , 6)
x = 2
y = 6
y = x + c
6 = 2 + c
6 - 2 = c
c = 4
Step 3: sub c into the equation
y = x + 4
The equation of the line is
y = x + 4
