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guajiro [1.7K]
3 years ago
5

Which of the following represents the factorization of the trinomial below?

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer: d

Step-by-step explanation:

This a trinomial so to find the factorization you need just to solve this equation :

  • x²-2x-48=0
  1. a=1
  2. b=-2
  3. c=-48
  • Δ=(-2)²-4*1*(-48)=196
  • so our trinomial has 2 solutions :
  • \left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.

x=8 and y=-6

the factorisation is  f(x)=a* (x-8)(x-(-6))

       the answer is : (x+6) (x-8)

saw5 [17]3 years ago
3 0

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)

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In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

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-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

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       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

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~kaikers
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