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loris [4]
3 years ago
14

The width of a rectangle is three more than twice the length. The perimeter is 96 inches. Find the length and the width.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0

Answer:

The length of the rectangle is 15 inches and the width is 33 inches

Step-by-step explanation:

The dimensions for the rectangle are as follows:

L=L and W=2L+3

The equation for perimeter of a rectangle is:

P=2l+2w

To Solve:

1. Plug values into perimeter equation

96=2(L)+2(2L+3)

2. Simplify the equation above.

96=2L+4L+6

3. Combine like terms:

96=6L+6

4. Solve for L by subtracting 6 from both sides:

90=6L

5. Solve for L by dividing both sides by 6:

15=L.

6. Plug 15 into the equation for the width:

2(15)+3=w

30+3=w.

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use the substitution method to solve the system of equations choose the correct orderd pair. 3x-y=7 2x-2y=2
sergey [27]

Answer:

(3,2)

Step-by-step explanation:

We are given the system:

3x-y=7

2x-2y=2.

We are asked to solve this by substitution.  We need to pick an equation and pick a variable from that equation to solve for that variable.

I really like either for this.  Some people might go with the first one though. Let's do that.  I will solve the first one for y.

3x-y=7

Subtract 3x on both sides:

   -y=-3x+7

Divide both sides by -1:

     y=3x-7

Now we are ready for substitution.  We are going to plug this equation into the second equation giving us:

2x-2y=2 with y=3x-7 gives us:

2x-2(3x-7)=2

Distribute:

2x-6x+14=2

Combine like terms:

-4x+14=2

Subtract 14 on both sides:

-4x      =2-14

Simplify:

-4x       =-12

Divide both sides by -4:

  x       =-12/-4

Simplify:

 x         =3

So using y=3x-7 and x=3, I will find y now.

y=3x-7 if x=3

y=3(3)-7   (I inserted 3 for x since we had x=3)

y=9-7       (Simplified)

y=2           (Simplified)

The answer is (x,y)=(3,2).

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3 years ago
The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
Rainbow [258]

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Step-by-step explanation:

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Which equation shows 6(x+4) = 2(y+5)
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6(x + 4) = 2(y + 5)..........Multiply everything out

6x + 24 = 2y + 10..........Solve for 2y by subtracting 10 from both sides

6x + 24 - 10 = 2y + 10 - 10

6x + 14 = 2y..................Solve for y by dividing both sides by 2

2y/2 = (6x + 14)/2

y = 3x + 7......................ANSWER.
3 0
3 years ago
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