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2 years ago

Factor completely, show work. x² - 49

Mathematics

1 answer:

Elan Coil [88]2 years ago

4 0

You want to pull out the square roots of each term since they are both perfect squares.

Factor using the difference of squares formula: a2-b2=(a+b)(a-b)

This formula allows the middle term to cancel out.

=x2 - 49

=(x + 7)(x - 7)

ANSWER: (x + 7)(x - 7)

Hope this helps! :)

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Factor. 10x^5 − 16x^4 + 4x^2

Licemer1 [7]

We have to find the GCD between 10, 16 and 4 and between x^5, x^4 and x^2

GCD (10,16,4) = 2
GCD (x^5,x^4,x^2) = x^2

So we divide all terms for 2x^2

Final result: 2x^2(5x^3-8x^2+2)

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3 years ago

If there are 16oz in a pound how many oz are in 10 pounds

liq [111]

160oz. This is because, knowing that there are 16oz in one pound, you can multiply 16 by how many pounds you have to get the oz measurement. In this problem, we multiplied 16 by 10, getting 160oz.

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3 years ago

Read 2 more answers

Let R be a relation on the set of all lines in a plane defined by (l 1 , l 2 ) R line l 1 is parallel to l 2 . Show that R is

MArishka [77]

Answer: hello your question is poorly written below is the complete question

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

answer:

a ) R is equivalence

b) y = 2x + C

Step-by-step explanation:

a) Prove that R is an equivalence relation

Every line is seen to be parallel to itself ( i.e. reflexive ) also

L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also

If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )

with these conditions we can conclude that ; R is equivalence

b) show the set of all lines related to y = 2x + 4

The set of all line that is related to y = 2x + 4

y = 2x + C

because parallel lines have the same slopes.

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2 years ago

Simplify this expression

kompoz [17]

The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
$\frac{x+2}{ x^{2} -6x-16}$ × 9x
Write -6x as a difference.
$\frac{x+2}{ x^{2} +2x-8x-16}$ × 9x
Factor out x from x² + 2x.
$\frac{x+2}{ x X (x+2)-8x-16}$ × 9x
Factor out -8 from -8(x + 2).
$\frac{x+2}{ x X (x+2)-8(x+2)}$ × 9x
Factor out x + 2 from the denominator (bottom) of the expression.
$\frac{x+2}{(x+2)X(x-8)}$ × 9x
Reduce the fraction with x + 2
$\frac{1}{x-8}$ × 9x
Finally,, calculate the product to find your final answer.
$\frac{9x}{x-8}$
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)

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2 years ago

50 POINTS | GIVING BRAINLIEST | REPORTING FALSE ANSWERS | NO LINKS

nikklg [1K]

1/3+1/3+1/3=1
That’s your answers double check in calculator if you think it’s wrong

7 0

3 years ago

Read 2 more answers