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Elis [28]
4 years ago
8

Reduce to lowest terms. 3m^2-3n^2/6m-6n A) -m-n/2 B) m-n/2 C) m+n/2

Mathematics
2 answers:
USPshnik [31]4 years ago
6 0

Answer:

C. m+n/2

Step-by-step explanation:

Factor out the 3 in the numerator and apply the difference of squares, factor out the 6 in the denominator, and reduce where applicable. It'll all cone out to look like option C.

dezoksy [38]4 years ago
6 0

Answer:

C)

\frac{m + n}{2}

Step-by-step explanation:

\frac{3{m}^{2} - 3 {n}^{2}  }{6m - 6n }  =  \frac{3( {m}^{2} -  {n}^{2}) }{3(2m - 2n)}  \\  =   \frac{ {m}^{2} -  {n}^{2}  }{2m - 2n}  \\  =  \frac{(m - n)(m + n)}{2(m - n)} \\  =  \frac{m + n}{2}

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Choose the linear equations.
andrew-mc [135]

Answer:

y = \frac{3}{3}x - 5

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).

7 0
3 years ago
Can anyone help me by just saying <br> number 1,2,3,4,5 you have to show work
Artist 52 [7]
2(x - 5) = 110

2x - 10 = 110

Add 10 to both sides.

2x = 120

Divide by 2 on both sides.

x = 60
4 0
3 years ago
If θ is an angle in standard position that terminates in Quadrant IV such that cosθ = 3/5, then cosθ/2 = _____. -
Sveta_85 [38]

Answer:

cos \frac{\theta}{2}= 0.894.

Step-by-step explanation:

Given:

cos\ \theta= \frac35

We need to find cos \ \frac{\theta}{2}

Solution:

cos\ \theta= \frac35

First we will find the value of \theta.

Now taking cos^{-1} on both side we get;

\theta= cos^{-1} \ \frac{3}{5}\\\\\theta = 53.13

Now we will find the \frac{\theta}{2}.

\frac{\theta}{2} = \frac{53.13}{2} = 26.565

Now we will find cos \ \frac{\theta}{2} we get;

cos \frac{\theta}{2}=cos\ 26.565 = 0.894

Hence cos \frac{\theta}{2}= 0.894.

4 0
3 years ago
Mrs. Wood is a librarian at Westside Library. In examining a random sample of the library's book collection, she found the follo
uysha [10]

Using proportions, it is found that Mrs. Wood should expect 1,898 books out of the 36,500 to have major damage.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For this problem, the proportion of books with major damage is:

43/(716 + 68 + 43) = 0.051995.

Hence, out of 36,500 books, the expected amount of books with major damage is:

0.051995 x 36,500 = 1898.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
On Anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 833 times per
Komok [63]

Answer:

There are 476 pedal turn in one mile.

Step-by-step explanation:

We are given the following in the question:

Ratio of pedal turns to rear-wheel turns =

4:7

Number of wheel turns in one mile = 833

Let x be the number of pedal turns.

Thus, we can write:

\dfrac{4}{7}=\dfrac{x}{833}\\\\\Rightarrow x = \dfrac{833\times 4}{7}\\\\\Rightarrow x = 476

Thus, there are 476 pedal turn in one mile.

8 0
3 years ago
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