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dsp73
3 years ago
8

Use slope to determine if lines PQ and RS are parallel,

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0

Answer:

PQ and RS are parallel to each other

Step-by-step explanation:

Slope of two points (x1,y1) and (x2,y2) is given by

slope = (y2-y1)/(x2-x1)

  • for two lines to be parallel slope should be equal
  • for two lines to be perpendicular product of slope should be -1
  • _______________________________________________

Lets find the slope of PQ and RS

for PQ P(2, -1), Q(-3,-1), R(-11, 9), S(-7, 9)

slope PQ = (-1 -(-1))/(-3 -2) = (-1 + 1)/5 = 0/5 = 0

Slope RS = (9-9)/(-7 - (-11) ) = 0/4 = 0

Since

slope PQ = slope RS = 0

Hence PQ and RS are parallel to each other

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The table below shows the number of shoppers at Jacob's store over a period of five months:
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3 0
3 years ago
Read 2 more answers
If 3 is added to a number and the sum is tripled​, the result is 21 more than the number. find the number.
zavuch27 [327]
<span>If 3 is added to the number: x + 3
b) ...and the sum is tripled.. 
"The sum" is "x + 3" so: 3(x+3)
c) ...the result is 27 more than the number.
27 more than the number is x + 27 
d) Put it all together:
3(x + 3) = x + 27 
Solve for x: 
1) Distribute the left side of the equation:
3x + 9 = x + 27

2) Subtract x from each side of the equation:
2x + 9 = 27
3) Subtract 9 from each side of the equation:
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4) Solve for x:
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2) 3(x + 3) = x + 27
3) 3 ([9] + 3) = [9] + 27
4) 3(12) = 9 + 27
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So, therefore The answer is correct</span>
7 0
3 years ago
Plz help asap almost done ​
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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