----------------------------------------------------------------
Define x and y:
----------------------------------------------------------------
Let the length be x.
Let the width be y.
----------------------------------------------------------------
Formula:
----------------------------------------------------------------
Perimeter = 2(Length + Width)
----------------------------------------------------------------
Construct equations and solve for x and y:
----------------------------------------------------------------
2x + 2y = 56 ---------------------- (1)
2(x+8) + 4y = 82 -----------------------(2)
----------------------------------------------------------------
From equation 1:
----------------------------------------------------------------
2x + 2y = 56
x + y = 28
x = 28 - y
----------------------------------------------------------------
From equation 2:
----------------------------------------------------------------
2(x+8) + 4y = 82
2x + 16 + 4y = 82
2x + 4y = 66
x + 2y = 33
----------------------------------------------------------------
Substitute x = 28 - y into equation 2:
----------------------------------------------------------------
x + 2y = 33
(28 - y) + 2y = 33
28 - y + 2y = 33
y = 5
----------------------------------------------------------------
Substitute y = 5 into equation 1:
----------------------------------------------------------------
x = 28 - y
x = 28 - 5
x = 23
----------------------------------------------------------------
Find Length and Width
----------------------------------------------------------------
Length = x = 23 m
Width = y = 5m
----------------------------------------------------------------
Answer: Length = 23m and Width = 5m
----------------------------------------------------------------
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
__
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: