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USPshnik [31]
3 years ago
13

Which equation represents a line that is perpendicular to line PQ?

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

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How many times larger is 1.9 × 10^-8 is than 4.2 × 10^-13<br><br>please help​
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Answer:

hope this helps!

Step-by-step explanation:

You have to divide:

1.9x10^-8 ÷ (4.2x10^-13)

= appr .45 x 10^5

= .45 x 100000

= appr 45,000 times as large

source: https://www.jiskha.com/questions/1857280/estimate-how-many-times-larger-1-9x10-8-is-than-4-2x10-13

credit: mathhelper

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3 years ago
Compare and contrast the rate 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile
Gwar [14]

The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

<h3>How to compare and contrast the rates?</h3>

The rates are given as:

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Rate 2 = 2/5 mile in 4 minutes

Calculate the above rates

This is done as follows:

Rate 1 = 1/10 mile per minute

Rate 2 =1/10 mile per minute

When the rates are calculated, the values are 1/10 mile per minute

Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

Read more about rate at:

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Aloiza [94]

Answer:

look it up  its the same as the equation

Step-by-step explanation:

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3 years ago
I will mark brainiest whoever answers this correctly
Paladinen [302]

Answer:

k = 3.9

Step-by-step explanation:

Since the three possible outcomes are given. Therefore, the sum of all the probabilities of the three possible outcomes will be equal to one:

\frac{7}{13} +\frac{1}{k}+ \frac{1}{2k} = 1 \\\\\frac{1}{k} \frac{1}{2k} =1-\frac{7}{13}\\\\\frac{3}{2k} \frac{5}{13}\\\\2k = \frac{(13)(3)}{5}\\\\k = \frac{39}{(5)(2)}\\

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6 0
3 years ago
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