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kondaur [170]
2 years ago
9

Question 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2​

Mathematics
1 answer:
kvasek [131]2 years ago
5 0

Answer:

(x-8) is the factor.

Step-by-step explanation:

The given trinomial is x^{2}-6x-16.

We need to find the factor of this trinomial.

x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)

The factors of x^{2}-6x-16 is (x-2) and (x-8).

So, the factor of x^{2}-6x-16 is (x-8). Hence, the correct option is (B).

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Answer:

<h2>x = 14, z = 65</h2>

Step-by-step explanation:

The angles (5x - 5)° and (6x + 31)° are supplementary angles.

Supplementary Angles add up to 180°.

Therefore we have the equation:

5x - 5 + 6x + 31 = 180             <em>combine like terms</em>

(5x + 6x) + (-5 + 31) = 180

11x + 26 = 180               <em>subtract 26 from both sides</em>

11x = 154             <em>divide both sides by 11</em>

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The angles (5x - 5)° and z° are vertical angles.

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5               <em>put x = 14 to the equation</em>

z = 5(14) - 5

z = 70 - 5

z = 65

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