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3 years ago

Which line is perpendicular to a line that has a slope of 1/2?

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer:

Step-by-step explanation:

For a line to be perpendicular to another line, you must find the negative reciprocal.

The negative reciprocal of 1/2 is -2.

The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.

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Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

5 0

3 years ago

Which of the following fractions is equivalent to 0.45? 45/1000 3/10 9/20 5/9

-Dominant- [34]

In Order To Find The Answer To this quetsion,you have to divide each set of fractions by them selfs and there for 9/20 and 45/1000 are the closest ones.
Divide 45/1000=0.045 but Divide 9/20=0.45 and that is your answer.

8 0

3 years ago

Read 2 more answers

Which statement is true about Angle B P D? Line A B intersect line C D at point P. It is adjacent to Angle A P C. It is compleme

mel-nik [20]

Answer:

It is congruent to Angle A P C

Step-by-step explanation:

we know that

Vertical angles are the angles opposite each other when two lines cross. They are always congruent.

In this problem we have that

$m\angle APC=m\angle BPC$ -----> by vertical angles

see the attached figure to better understand the problem

therefore

It is congruent to Angle A P C

7 0

4 years ago

Read 2 more answers

(2X+3)^3 Can anyone answer this ?

IrinaK [193]

I hope this helps you

6 0

3 years ago

Read 2 more answers

Help pls i'll give brainliest and 20 pts just help

vodomira [7]

You add up all of the Frequencies together (to get 50)

The number 6 was rolled 9 times. So that makes it 9/50.

9/50 -> .18 or 18%

Does that help?

6 0

3 years ago

Read 2 more answers