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Trava [24]
3 years ago
10

Find the slope of the line perpendicular to the line passing through the given points: (-4, 8) and (-2, 5)​

Mathematics
1 answer:
frozen [14]3 years ago
4 0

Answer:

\frac{3}{2}

Step-by-step explanation

  The slope of a perpendicular line would be (-x) if the slope of the original line was (x).

  The formula for finding slope is:

\frac{y_2-y_1}{x_2-x_1}

Inserting your problem would make the equation look like:

\frac{5-8}{-2+4}

Simplify:

\frac{-3}{2}

That is the slope of the given line, to find the slope of the line perpendicular to that one, we would put into (-x)

Answer:

\frac{3}{2}

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Amirah's family is driving to her uncle's house. The family travels 383.5 miles between 10:15 am and 4:45 pm. Calculate the fami
ddd [48]

Answer:

The family's average rate of travel for the day was 59.0 MPH.

Step-by-step explanation:

From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.

There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5

So, 6.5 hours and a total distance of 383.5 miles.

Velocity (MPH) = Distance (in miles) / Time (in hours)

MPH means Miles Per Hour

Variables:

Velocity (MPH) = x

Distance (in miles) = 383.5

Time (in hours) = 6.5

Plug in the variables into the formula

x = 383.5 / 6.5

Divide

x = 59.0 MPH

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2 years ago
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Snezhnost [94]
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3 years ago
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The Thompson Family decides to plant a total of 180 plants in order to prepare for a larger
Licemer1 [7]

Answer: 54 berry plants

Step-by-step explanation:

From the sample there are:

Lettuce = 12

Tomatoes = 6

Peppers = 3

Berries = 9

The total is: = 12 + 6 + 3 + 9 = 30 plants

Berries comprise of:

= 9/30

= 3/10 of the plants

If they want to plant a total of 180, the number of berrie plants needed is:

= 3/10 * 180

= 54 berry plants

8 0
3 years ago
Monday the price of an online movie dropped $3 in the morning and then another $3 that afternoon.the following Monday morning th
Burka [1]

dropped $3 means "-3", increased $6 means "+6"

the price dropped twice so 2(-3) and increased once by 6

so, 2(-3) + 6 = 0

the change in price is $0

6 0
3 years ago
In Which Quadrant is this true
34kurt

Given:

\sin \theta

\tan \theta

To find:

The quadrant in which \theta lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only \sin\theta and \csc\theta are positive.

In Quadrant III, only \tan\theta and \cot\theta are positive.

In Quadrant IV, only \cos\theta and \sec\theta are positive.

We have,

\sin \theta

\tan \theta

Here, \sin\theta is negative and \tan\theta is also negative. It is possible, if \theta lies in the Quadrant IV.

Therefore, the correct option is D.

5 0
3 years ago
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