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topjm [15]
3 years ago
9

Calculate the values of the Expressions below 3 * 8 divided by 2 squared + 1​

Mathematics
1 answer:
mixer [17]3 years ago
8 0

Answer:

<h2>24/5</h2>

Step-by-step explanation:

\frac{3  \times8}{2^2+1}\\\\\mathrm{Multiply\:the\:numbers:}\:3\times \:8=24\\\\=\frac{24}{2^2+1}\\\\2^2+1=5\\\\=\frac{24}{5}

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Subtract rational expression. <br> Show work please.
yan [13]

Given:

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}

To find:

The simplified rational expression by subtraction.

Solution:

Let us factor x^2-1. It can be written as x^2-1^2.

x^2-1^2=(x-1)(x+1) using algebraic identity.

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x+4}{x-1}-\frac{5}{(x+1)(x-1)}

LCM of x-1,(x+1)(x-1)=(x+1)(x-1)

Make the denominators same using LCM.

Multiply and divide the first term by (x + 1) to make the denominator same.

                        $=\frac{(x+4)(x+1)}{(x-1)(x+1)}-\frac{5}{(x-1)(x+1)}

Now, denominators are same, you can subtract the fractions.

                        $=\frac{(x+4)(x+1)-5}{(x-1)(x+1)}

Expand (x+4)(x+1)-5.

                        $=\frac{x^2+4x+x+4-5}{(x-1)(x+1)}

                        $=\frac{x^{2}+5 x-1}{(x-1)(x+1)}

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x^{2}+5 x-1}{(x-1)(x+1)}

6 0
3 years ago
A flying disc in the shape of a circle has a circumference of 8 inches. What is the radius of the flying disc.
mafiozo [28]

Answer:

A.

Step-by-step explanation:

The formula for circumference is:

C=2\pi r

We know that the circumference is 8π inches. So, substitute 8π for C:

8\pi =2\pi r

Solve for r. Divide both sides by 2π. So:

r=\frac{8\pi}{2\pi}=4

Therefore, the radius is 4 inches.

Hence, our answer is A.

7 0
3 years ago
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