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Anon25 [30]
3 years ago
10

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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if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?
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Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

\frac{25in}{35ft} =\frac{1/8 in}{?ft}

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200   This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

1/8 of an inch represents 7/40 feet.

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3 years ago
The formula for the volume of a cone is V=1/3 pi r2h the radius r of the cone may be expressed as
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r = √(3V/πh)

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r = √(3V/πh)


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2 years ago
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What is the lowest common denominator of 6,4,3,42?
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Write a linear function with the values (-1,8) and (5,6)
valentina_108 [34]

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Relation is:

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Step-by-step explanation:

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