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Lorico [155]
3 years ago
15

Help Determine which equation is parallel to line jk and which is perpendicular to line jk.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes m_1 and m_2 are parallel when m_1=m_2 and are perpendicular when m_1*m_2=-1

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

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Answer:

If I am understanding your question, the total upstream is 8 miles and another 8 miles downstream.

Let s = the speed of the boat in still water

d = rt

8 = 5(s + 3)  downstream

8 = 5s + 15  equation 1

8 = 5(s - 3)   upstream

8 = 5s - 15    Add equation 1

8 = 5s + 15 

16 = 10s    Divide both sides by 10.

s = 16/10 = 8/5 = 1.6 mph

 

4 0
2 years ago
Pls explain your answer
spayn [35]

Yo sup??

this is of the form called slope and point... hence

y-11=-4(x+2)

therefore the correct answer is option A

Hope this helps

8 0
3 years ago
Sam raked 3 bags of leaves in 16 minutes. if he continues to work at the same rate about how long will it take him to rake 5 bag
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3 0
3 years ago
I need to solve: 6x+3^59
MrMuchimi
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7 0
3 years ago
What is 5/2 - blank = 1/3
sdas [7]

Step-by-step explanation:

taking that blank as x

5/2 -x = 1/3

the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3

so the equation will become 5/2-1/3=x

solving the fraction then gives 13/6 or 2.17 as the value of x

7 0
3 years ago
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