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krek1111 [17]
3 years ago
7

What is the value of p in the equation 13p+42=-57+2p

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

p=-9

Step-by-step explanation:

13p+42=-57+2p

Subtract 2p from each side

13p-2p+42=-57+2p-2p

11p +42 = -57

Subtract 42 from each side

11p+42-42=-57-42

11p = -99

Divide each side by 11

11p/11 = -99/11

p = -9

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions
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Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

2 {x}^{2}  + 5x   = 42

2 {x}^{2}  + 5x - 42 = 0

2 {x}^{2}  + 12x - 7x - 42 = 0

2x(x + 6) - 7(x + 6) = 0

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Either

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x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

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Length = 2x + 5

2 \times  \frac{7}{2}  + 5

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12

Length = 12 ft

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Hello.

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