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3 years ago

Write the equation of a line that is parallel to y= -7 and that passes through the point (7,5)

Mathematics

2 answers:

maw [93]3 years ago

6 0

Answer:

y=5

Step-by-step explanation:

TRUST ME

Lena [83]3 years ago

3 0

The equation is y = 5.

You can find this because we know slopes that are parallel have the same slope. Since the original is just y = a number, we know the slope is 0 and therefore there will be no x. Since this next equation is parallel to that, it will also just be y = a number with no x.

Since in the new ordered pair, y = 5, that must be the equation that we use as it is also parallel.

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Step-by-step explanation:

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2 years ago

Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.

Bingel [31]

Answer:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

The integral converges to $\frac{1}{5}$

Step-by-step explanation:

For this case we want to find the following integral:

$\int_{-\infty}^{-5} x^{-2}dx$

And we can solve the integral on this way:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}$

$\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}$

And if we evaluate the integral using the fundamental theorem of calculus we got:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

The integral converges to $\frac{1}{5}$

8 0

2 years ago

Given the equation, y= ; x-4, what is the slope and the y-intercept?

erma4kov [3.2K]

Answer: Slope is 1 because if we have x by itself, we assume it is only one.

y-intercept because according to the slope intercept formula, (y=mx+b), it is in the correct spot.

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2 years ago

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3 years ago

Read 2 more answers

What are the coordinates for (6,5) and hypotenuse 3.

galina1969 [7]

Answer:

the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

4 0

2 years ago