Answer:
-2
Step-by-step explanation:
16= -4(x-1)+4
16 - 4 = -4x + 4
12 = -4x + 4
12 - 4 = -4x
8 = -4x
x = 8 ÷ -4
x = -2
Part (a)
The picture alone, without the frame, is 16 by 20
When accounting for the frame, the larger rectangle is 16+2x by 20+2x
We add up all four sides to get the perimeter
(16+2x)+(20+2x)+(16+2x)+(20+2x)
8x+72
or you can use this perimeter of a rectangle formula
P = 2(L+W)
P = 2(20+2x+16+2x)
P = 2(4x+36)
P = 8x+72
Answer: 8x+72
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Part (b)
Multiply the length and width to find the area of the rectangle.
area = length*width
A = L*W
A = (20+2x)*(16+2x)
A = 20(16+2x) + 2x(16+2x)
A = 320+40x + 32x + 4x^2
A = 4x^2 + 72x + 320
Answer: 4x^2 + 72x + 320
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Part (c)
Plug x = 2 into the perimeter equation found in part (a)
P = 8x+72
P = 8*2+72
P = 16+72
P = 88
Now plug x = 2 into the area equation found in part (b)
A = 4x^2 + 72x + 320
A = 4(2)^2 + 72(2) + 320
A = 4(4) + 72(2) + 320
A = 16 + 144 + 320
A = 160+320
A = 480
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Answers:
Perimeter = 88 inches
Area = 480 square inches
Answer:
B. 3/4
Step-by-step explanation:
5/8 Get a common denominator of 24
5/8 *3/3 = 15/24
A. 12/24 this is less than
B. 3/4 *6/6 = 18/24 greater than
C. 15/24 same value so equal to
D.4/12 * 2/ = 8/24 less than
Answer:
5 1/4
Step-by-step explanation:
