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Oksi-84 [34.3K]
3 years ago
6

Can I get the answer for the questions at the bottom

Mathematics
1 answer:
aniked [119]3 years ago
6 0
27)

Equation of the existing water pipe's line

a) slope, m = rise / run = Δy / Δx = 3/2

b) y-intercept, b = 3

equation: y = mx + b = (3/2)x + 3

Equation of the new water pipe's line

slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3

point (0,2)

=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe

28)

two parallel lines have the same slope =>

slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3

point (4,5) => y - 5 = (4/3) (x - 4)

=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3

y = (4/3)x - 1/3  <--- equation of the new bike path
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Only the given table represents a function. Option 1 is correct.

Step-by-step explanation:

A relation is called a function, if there exist a unique value of y for each value of x. It means for each input there exist a unique output.

A function is always a relation but all relations are not function.

In the given table for each value of x, we have unique value of y, therefore the given table represents a function.

In second relation, at x=-2, the values of y are y=10 and y=-7. For single x, there are more than one value of y, therefore the second relation is not a function.

In third relation, at x=6,  the values of y are y=-2 and y=1. For single x, there are more than one value of y, therefore the third relation is not a function.

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Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of -
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Answer: Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625


Step-by-step explanation:

Given: Vanessa and Zack are playing a game where the player with the lower score wins.

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