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
Y-intercept (7,0) x-intercept (0,14) = f(x)= -2x+14
Answer:
Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour
Step-by-step explanation:
Let
x is the amount Harry earns
y is the amount Hamish earns
x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1
x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2
equals 1 and 2
(x-1)*4/5 = (x+2)*5/7
(4x-4)/5 = (5x+10)/7
(4x-4)*7 = (5x+10)*5
28x-28 = 25x+50
28x-25x = 50+28
3x = 78
x = 26
substitute x = 26 for y=(x-1)*4/5
y = (x-1)*4/5
y = (26-1)*4/5
y = 20
the answer is
<h3>Harry earns $26 an hour</h3><h3>Hamish earns $20 an hour</h3>
Can you repost this with the picture
Answer:
Step-by-step explanation:
