Evaluate 5x if x= -5

The sum of two rational numbers is 2. If one of them is -13/5, find the other

guapka [62]

So the right answer is 23/5

Look at the attached picture

Hope it will help you

Good luck on your assignment

7 0

3 years ago

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Lines MN and PQ are parallel. Lines RS and TV intersect them. Which statements are true about these lines? Check all that apply.

Maru [420]

The correct answer is: 
RS is perpendicular to MN and PQ.

Explanation: 
We can use the slopes of these lines to determine the answer.
Slope is given by the formula 
m= $\frac{y_{2}- y_{1} }{ x_{2} - x_{1} }$ .

Using the coordinates for M and N, we have: 
m= $\frac{3--1}{3--3} = \frac{4}{6} = \frac{2}{3}$ .

Since PQ is parallel to MN, its slope will be $\frac{2}{3}$ as well, since parallel lines have the same slope.

Using the coordinates for points T and V in the slope formula, we have 
m= $\frac{-4-1}{0--4} =- \frac{5}{4}$ .

This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

Using the coordinates for R and S in the slope formula, we have 
m= $\frac{-2-1}{2-0} =- \frac{3}{2}$ . Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.

7 0

4 years ago

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Factoring: 3x^5+6x^3

MissTica

Answer:

Step-by-step explanation:

3x^5+6x^3

=3x^3(x^2+2)

7 0

3 years ago

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An envelope with 96 bookmarks in it has a mass of 1467 grams. The same envelope with 49 bookmarks in it has a mass of 762 grams.

masya89 [10]

If $m$ is the mass of the envelope and $b$ the mass of one bookmark, then

$\begin{cases}m+96b=1467\\m+49b=762\end{cases}$

We have

$(m+96b)-(m+49b)=1467-762\implies47b=705\implies b=15$

Then

$m+96\cdot15=1467\implies m+1440=1467\implies m=27$

so the envelope has a mass of 27 grams.

8 0

4 years ago

I got the answer but i need to know how did she get that answer

kiruha [24]

If you round your numbers that is how you find your answer. Rounding rules: 5 or more round up to the next number. 4 or less stays the same. This problem requires you to round to the whole number.

1.25 rounds to 1
-2.69 round to -3

so the answer is 1 + (-3)

4 0

3 years ago