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3 years ago

Solve these equations for the variable. (4p-4)(13p+27)

Mathematics

1 answer:

kondaur [170]3 years ago

8 0

Answer:

p is approximately equal to 1.125, -1.925

Step-by-step explanation:

We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:

(4p - 4)(13p + 27) = 0

52p² + 108p - 52p - 108 = 0

52p² + 52p - 108 = 0

13p² + 13p - 27 = 0

13p² + 13p = 27

p² + p = 27 / 13

p² + p + 1/4 = 27/13 + 1/4

(p + 1/2)² = 108 / 52 + 13 / 52

(p + 1/2)² = 121 / 52

p + 1/2 = ± √(121 / 52)

p = -1/2 ± 11√(1/13) / 2

At that point we can simply plug those numbers into a calculator and solve it:

p ≈ 1.125, -1.925

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3 years ago

Read 2 more answers

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VikaD [51]

Data:
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Solving:
$V = A_{b}*h$
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4 years ago

Select all expressions that can be subtracted from 9x to result in the expression 3x+5.

Arte-miy333 [17]

<h2>Answer:</h2><h2>The expressions that can be subtracted from 9x to result in the expression 3x+5 is 6x - 5</h2>

Step-by-step explanation:

To find the expression that can be subtracted from 9x to result in the expression 3x+5.

Let us consider the expression, a - b = c

Here a = 9x

the result, c = 3x + 5

b = ?

Substitute the values in the above equation, we get

9x - b = 3x + 5

9x - (3x + 5) = b

b = 6x - 5

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