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Archy [21]
4 years ago
14

5 times a number is 14 less than the square of that number. Find the positive solution.

Mathematics
2 answers:
anastassius [24]4 years ago
8 0

Write the word problem in algebraic form:

n2 -14 = 5n

Write as a quadratic:

n2 - 5n - 14 = 0

Factor:

(n+2)(n-7) = 0

Solve:

n+2 = 0    =>   n = -2

n-7 = 0    =>   n = 7

positive solution is 7.   (14 less than 72 = 35 which is also 5 times 7)

NemiM [27]4 years ago
6 0

Answer:

The positive solution is 7.

Step-by-step explanation:

Let the number be x, then we have:

5x = x^2 - 14

x^2 - 5x - 14 = 0

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

x =7, -2.

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Six liters of paint will cover 50 square meters. How many square meters will nine liters cover?
Elena L [17]

Answer:

<h2>75 m²</h2>

Step-by-step explanation:

Six liters of paint will cover 50 square meters.

  6L ⇒ 50m²

then,

  1L ⇒ 50/6 m²

  9L ⇒ 50 × \frac{9}{6} m²

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7 0
3 years ago
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3 years ago
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Sam and Jeremy have ages that are consecutive
Norma-Jean [14]

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bet

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6 0
3 years ago
Please answer full question below thank you
Yuliya22 [10]

Explanation:

Angles 1 & 2 have to equal 180. So, if ∠1 is equal to 140, ∠2 is equal to 40 because 140 + 40 = 180.

So far... we know that:

  • ∠2 = 40
  • ∠9 = 80

Angles 2, 9, and 11 make a triangle, a triangles "magic number" is also 180. To get 180, you must add up all of the angles. Well... we don't know ∠11 so to find it, you subtract 40 & 80 from 180. 180 - 80 - 40 = 60.

Answer:

∠2 = 40

∠11 = 60

7 0
4 years ago
I need to find the value of each variable.
antoniya [11.8K]
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d = 79

91 + c = 180
c = 89

95 + a = 202
a = 107

b + 107 = 178
b = 71
8 0
4 years ago
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