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3 years ago

Simplify 5x-10/x^2-4

Mathematics

1 answer:

castortr0y [4]3 years ago

5 0

Let's factorise and use the difference of two squares (D.O.T.S):
$\frac{5(x-2)}{(x+2)(x-2)}$
the (x-2) in the numerator and denominator cancel out so we are left with:
$\frac{5}{x+2}$
So the answer is B

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Which of these is the algebraic expression for "some number to the power of six?" A.6x B.X+6 C.X^6 D.6^X

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

PIT_PIT [208]

9514 1404 393

Answer:

common denominator: (x² -4)
simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

a² -b² = (a -b)(a +b)

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

$\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}$

3 0

3 years ago

Given m||n, find the value of x.<br> kt<br> (7-10)<br> (6x-5)°

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

So, leets look at the graph.

We can see that the lines being solved for tecnically make up 180 degrees.

This is because the value of the angles on line m are equal to the value of the angles on line n.

So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.

Lets combine these two equations, and subtract them from 180 degrees to solve for x:

7x-1+6x-5

13x-15

Now to solve for x:

13x-15=180

Add 15 to both sides to get 13x alone:

13x=195

Then divide both sides by 13 to get x alone:

x=15

So our value of x is 15!

Hope this helps! :)

3 0

3 years ago