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Olin [163]
3 years ago
6

Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)

and (16, 21)?
A)
They are parallel lines.


B)
They are vertical lines.


C)
They are perpendicular lines.


D)
They are intersecting lines.
Mathematics
2 answers:
drek231 [11]3 years ago
7 0

Answer:D) They are intersecting lines.

Step-by-step explanation: that other answer was wrong .

konstantin123 [22]3 years ago
4 0

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

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

The slope of the line that passes through (−12, 15) and (4, −5) is

m_{1} =  \frac{ - 5 - 15}{4 -  - 12}

m_{1} =  \frac{ - 20}{16}  =  -  \frac{5}{4}

The slope of the line going through (−8, −9) and (16, 21) is

m_{2} =  \frac{21 -  - 9}{16 -  - 8}

m_{2} =  \frac{21  + 9}{16  + 8}

m_{2} =  \frac{30}{24}  =  \frac{5}{4}

The product of the two slopes is

m_{1} \times m_{2} =  -  \frac{4}{5}  \times  \frac{5}{4}  =  - 1

Since

m_{1} \times m_{2} =  - 1

the two lines are perpendicular.

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The standard deviation of the data set is 2.3. Compute the variance to the nearest hundredth. 2,2,2,3,5,5,6,7,8
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3 years ago
What is the solution set of the equation X/5 + x/2 =14?
JulijaS [17]

Answer:

x= 20

Step-by-step explanation:

Solve for x:

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Multiply both sides of (7 x)/10 = 14 by 10/7:

(10×7 x)/(7×10) = 10/7×14

10/7×7/10 = (10×7)/(7×10):

(10×7)/(7×10) x = 10/7×14

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(10×7 x)/(7×10) = (10×14)/7

(10×7 x)/(7×10) = (7×10)/(7×10)×x = x:

x = (10×14)/7

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x = 10×2

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Answer:  x = 20

7 0
3 years ago
A store is offering a 30% discount off the regular price of a jacket them amount off the discount was $21 what was the regular p
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Step-by-step explanation:

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3 years ago
What is the range of the following set?<br> 46, 39, 49, 45, 42, 44, 41, 51, 40
gladu [14]

Answer:

12

Step-by-step explanation:

The range of a data set is just the difference between the largest and smallest values.

So, let's find the smallest value: it's 39. The largest value is 51.

Their difference is:

51 - 39 = 12

Thus, the answer is 12.

<em>~ an aesthetics lover</em>

6 0
3 years ago
Read 2 more answers
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