Answer:
Snail A: 0, 5, 10, 15, 20, 25, 30
Snail A travels at a rate of 30 inches in 1 hour or 30 inches per hour.
Snail B: 0, 3, 6, 9, 12, 15, 18
Snail B travels at a rate of 18 inches in 1 hour or 18 inches per hour.
Snail C: 0, 6, 12, 18, 24, 30, 36
Snail C travels at a rate of 36 inches in 1 hour or 36 inches per hour.
Snail D: 0, 4, 8, 12, 16, 20, 24
Snail D travels at a rate of 24 inches in 1 hour or 24 inches per hour.
The length is 16 ft, and the width is 3 ft.
Step-by-step explanation:
Let L = length & let W = width.
The perimeter of a rectangle is
P = 2(L + W)
The area of a rectangle is
A = LW
We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.
Perimeter: 2(L + W) = 38
Divide both sides by 2:
L + W = 19
Area: LW = 48
We have a system of two equations in two unknowns:
LW = 48
Solve the first equation for L and substitute it into the second equation.
L = 19 - W
(19 - W)W = 48
19W - W^2 - 48 = 0
Multiply both sides by -1, and rearrange the order of the terms.
W^2 - 19W + 48 = 0
(W - 16)(W - 3) = 0
W - 16 = 0 or W - 3 = 0
W = 16 or W = 3
Use W = 3 to find L
L = 19 - 3
L = 16
Answer: The length is 16 ft, and the width is 3 ft.
241.5602
Area of a semicircle is π
-8(x²-2)
Factor -8 out of -8x²
-8(x²)+16
Factor -8 out of 16.
-8(x²)-8(-2)
Factor -8 out of -8(x²)-8(-2).
f(x) = x + 4
g(x) = x^3
g(f(-3)) = ?
---First, find f(-3). Then, substitute that value in to g(x) for x.
f(-3) = -3 + 4 = 1
g(1) = 1^3 = 1
Answer: 1
Hope this helps!
