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2 years ago

Select the correct answer.

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

4 0

Answer:

$\sf B)\ f(x) \cdot g(x) = x^4 + 6x^3 - 12x - 76$

Step-by-step explanation:

Given functions:

$\sf f(x) = \sqrt{x^2+12x+36}\\$

$\sf g(x) = x^3 - 12$

$\sf f(x) \cdot g(x) = \left(\sqrt{x^2+12x+36}\right)\times (x^3 - 12) \\\\\ \textsf{[rewrite the radicand using the perfect square trinomial rule: $a^2+2ab+b=(a+b)^2$]}\\\\$

$\sf f(x) \times g(x) = \left(\sqrt{(x+6)^2}\right) \times \left(x^3 - 12\right)\textsf{[take the square root of the perfect square trinomial]}\\\\\sf f(x) \cdot g(x) = \left(x+6}\right) \times \left(x^3 - 12\right) \textsf{[multiply]}\\\\f(x) \cdot g(x) = x\left(x^3 - 12\right) + 6 \left(x^3 - 12\right) \textsf{[simplify]}\\\\f(x) \cdot g(x) = x^4 - 12x + 6x^3 - 76 \textsf{ [rewrite in descending order]}\\\\f(x) \cdot g(x) = x^4 + 6x^3 - 12x - 76$

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4 years ago

A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.1

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3 years ago

Read 2 more answers

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Answer:

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We are given ΔABC with an altitude BD as shown in the figure.

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<em>'When an altitude is drawn from a right angle of a triangle, then all the three triangles are congruent.'</em>

So, we get that ΔABC ≅ ΔABD ≅ CBD.

Since, the triangles are congruent, their corresponding sides and angles will be congruent.

Moreover, the ratio of the sides will be equal.

So, we get from ΔABC ≅ ΔABD,

$\frac{AD}{AB}=\frac{AB}{AC}$

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3 years ago

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