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Anna35 [415]
3 years ago
8

Factor the trinomial. x^2-4x-5

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
<h3>Answer: Choice C.  (x+1)(x-5)</h3>

We need to find two numbers that

  • Multiply to -5 (last term)
  • Add to -4 (middle coefficient)

Through trial and error, those two numbers are 1 and -5

  • 1 times -5 = -5
  • 1 plus -5 = -4

So this means x^2-4x-5 factors to (x+1)(x-5)

This is the same as (x-5)(x+1) since the order of multiplication doesn't matter.

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street
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Answer:

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Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He  has a height of 5.6 ft  and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

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x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx
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