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3 years ago

What are the zeros of the function below?

Mathematics

1 answer:

zzz [600]3 years ago

6 0

Answer:

A. 0 and 6

Step-by-step explanation:

We look for values of x that make the numerator zero be letting the numerator equal 0.

8x(x - 6) = 0

8x = 0 or x - 6 = 0

x = 0 or x = 6

The denominator excludes x = -2 and x = -9 from the domain, but since the zeros are not those values, the values excluded from the domain do not affect the zeros of the function.

Answer: A. 0 and 6

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Given that T is the centroid of △DEF and FT=12

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The centroid of a triangle divides the median of the triangle into 1 : 2

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$\mathbf{TQ : 12 =1 : 2}$

Express as fraction

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$\mathbf{TQ =\frac{1 }{ 2} \times 12}$

This gives

$\mathbf{TQ =\frac{1 2}{ 2}}$

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$\mathbf{TQ =6}$

The measure of FQ is calculated using:

$\mathbf{FQ = FT + TQ}$

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$\mathbf{FQ = 12 + 6}$

Add 12 and 6

$\mathbf{FQ = 18}$

Hence, the measure of FQ is 18, while the measure of TQ is 6