2 years ago

Which is the completely factored form of 3xsquared -12x-15?

Mathematics

1 answer:

tekilochka [14]2 years ago

7 0

Answer:

3(x - 5)(x + 1).

Step-by-step explanation:

3x^2 - 12x - 15

Dividing through by 3:

= 3(x^2 - 4x - 5)

We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:

3(x - 5)(x + 1).

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3 years ago

1. In ABC, C is a right angle and BC = 11. If B = 30°, find AC. (1 point)

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Answer:

$AC=\frac{11\sqrt{3}}{3}$

Step-by-step explanation:

Given that triangle ABC is a right angle triangle. Where angle C is a right angle. Also we have been given that BC = 11, B = 30°. Now we need to find the value of AC.

Apply formula:

$\tan\left(\theta\right)=\frac{opposite}{adjacent}$

$\tan\left(B\right)=\frac{AC}{BC}$

$\tan\left(30^o\right)=\frac{AC}{11}$

$\frac{1}{\sqrt{3}}=\frac{AC}{11}$

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$AC=\frac{11}{\sqrt{3}}$

$AC=\frac{11}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}$

$AC=\frac{11\sqrt{3}}{3}$

Hence final answer is $AC=\frac{11\sqrt{3}}{3}$ .

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