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Colt1911 [192]
4 years ago
7

Find the slope of the line passing through the points (-6,-5) and (4,4) ?

Mathematics
1 answer:
Musya8 [376]4 years ago
7 0

Answer:

\frac{9}{10}

Step-by-step explanation:

The equation to solve this is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}}, so in this case it would be \frac{4-(-5)}{4-(-6)} =\frac{9}{10}

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Pumps a, b, and c operate at their respective constant rates. pumps a and b, operating simultaneously, can fill a certain tank i
MrMuchimi
Let a, b, and c be the times each pump will fill the tank when working alone.

Therefore, in 1 hour;

1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)

From equation (1)
1/a = 5/6-1/b

Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)

Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2

This means, in 1 hour and with all the pumps working together, the tank will be filled to;
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