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nika2105 [10]
3 years ago
6

What is the slope of line PQ?

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0

Answer:

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by the formula,

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

Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,

Slope 'm_1' = \frac{2-2}{-8-2} = 0

Therefore, slope of the line PQ parallel to the x-axis = 0

Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,

Slope 'm_2' = \frac{6+8}{8-8} = ∞

Therefore, slope of the line MN parallel to y-axis is undefined.

Since, angle between the x-axis and y-axis is 90°,angle at the intersection  point between the lines parallel to x and y axis will be 90°.

These lines are perpendicular to each other.

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Answer:

24 Combinations Total

Step-by-step explanation:

METHOD 1 (no advanced math skills needed)

i. Number the friends: a, b, c, and d

ii. List all possible combinations...

  1. a b c d
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  3. a c b d
  4. a c d b
  5. a d b c
  6. <u>a d c b</u>
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  8. b a d c
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  10. b c d a
  11. b d a c
  12. <u>b d c a</u>
  13. c a b d
  14. c a d b
  15. c b a d
  16. c b d a
  17. c d a b
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  19. d a b c
  20. d a c b
  21. d b a c
  22. d b c a
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To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.

METHOD 2

n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24

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Step-by-step explanation:

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