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hodyreva [135]
3 years ago
11

Solve this system of equations: y=(3/4)x; y=-x-7 *

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer: x

=

−

4

,

y

=

−

11

Step-by-step explanation:

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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


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3 years ago
Complete the<br> proportion<br> 3 is to 4 as 75 is to...
kolezko [41]

Answer: 100

Step-by-step explanation:

\frac{3}{4} = \frac{75}{x}

3 x 25 = 75

4 x 25 = 100

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2 years ago
What number means the same as 9,000,000,000 + 900,000,000, + 90,000,000 +9,000,000, + 900,000 + 9,000 +9 PLEASE DO IT QUICKLY
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Answer:

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Step-by-step explanation:

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kodGreya [7K]

Answer:

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Step-by-step explanation:

Since the two sides of the triangles have equal angles then two sides have equal length

the sum of interior angles of triangles is 180° then the last angle is 60°

then the triangles have perfect sides of 12

y = 12

to calculate x

sin Ф = opposite/hypothenus

sin 60° = x/12

sin 60° = √3/2

( √3/2 )  x 12  = x

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3 years ago
Roxanne has 42 hundreds of a dollar in change which shows the amount of change she has left
klasskru [66]
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