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Define x and y:
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Let the length be x.
Let the width be y.
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Formula:
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Perimeter = 2(Length + Width)
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Construct equations and solve for x and y:
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2x + 2y = 56 ---------------------- (1)
2(x+8) + 4y = 82 -----------------------(2)
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From equation 1:
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2x + 2y = 56
x + y = 28
x = 28 - y
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From equation 2:
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2(x+8) + 4y = 82
2x + 16 + 4y = 82
2x + 4y = 66
x + 2y = 33
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Substitute x = 28 - y into equation 2:
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x + 2y = 33
(28 - y) + 2y = 33
28 - y + 2y = 33
y = 5
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Substitute y = 5 into equation 1:
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x = 28 - y
x = 28 - 5
x = 23
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Find Length and Width
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Length = x = 23 m
Width = y = 5m
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Answer: Length = 23m and Width = 5m
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Answer:
The first, third, and fourth options are less than 50% shaded.
Step-by-step explanation:
Each model has 100 squares, and if you count the squares, the first, third, and fourth models have less than 50 squares shaded in.
Answer:
- g(x) = x^2 +2
- f(g(x)) = 1/(x^2 -3)
Step-by-step explanation:
A. g(x) is given:
g(x) = x^2 +2
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B. f(g(x)) = f(x^2 +2) = 1/((x^2 +2) -5) . . . . substitute for g(x) and simplify
f(g(x)) = 1/(x^2 -3)
Answer:
Step-by-step explanation:
9^8 to 9^10 involves a change (multiplication) of 9^8 by 9^2 (which is 81).
Over the given interval, f(x) increases by 81.
Answer:
its either $8.34 or $8
Step-by-step explanation:
