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larisa86 [58]
3 years ago
7

the area of a rectangle is 85 square feet. the length is 12 feet longer than the width. find the length and width of the wall

Mathematics
1 answer:
Fed [463]3 years ago
3 0
Formula for area of rectangle:
A=L x w
Here A=85 square ft
Length, L=w+12

Put values in formula.
85=(w+12)w
85=w^2+12w
Subtract 85 from both sides
w^2+12w-85=0
Factorise the equation.
(w-5)(w+17)=0
w=5 and w=-17
Ignore the negative value of width.
Width, w= 5 ft  and Length, L=12+5=17 ft

Answer: Width=5 ft and Length=17 ft
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Solve the equations below. With explanations please.
Sophie [7]

Answer:

Step-by-step explanation:

y=-2x-4

y=5x+5

------------

-2x-4=5x+5

-2x-5x-4=5

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-7x=5+4

-7x=9

x=9/-7

x=-9/7

y=5(-9/7)+5

y=-45/7+35/7

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----------------------------------------------------

-3x+y=8

2y=6x-10

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Answer: No Solution

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y-2x=6

--------------

y=4x+12

y=2x+6

--------------

4x+12=2x+6

4x-2x+12=6

2x+12=6

2x=6-12

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-------------------------------------

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2y=4-4

2y=0

y=0/2

y=0

Answer: x=4, y=0. (4, 0).

4 0
3 years ago
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