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kotykmax [81]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

The missing side has a length equal to 15\sqrt{3}

Step-by-step explanation:

We need to find the length of the missing side on the right triangle. We were given the length of the hypotenuse, and the opposite cathetus, therefore we can use the sine relation. This is done below:

sin60=\frac{x}{30}\\\frac{\sqrt{3}}{2}=\frac{x}{30}\\x=15\sqrt{3}

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Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

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3 years ago
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jek_recluse [69]

Answer:

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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