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skelet666 [1.2K]
3 years ago
11

Three vertices of parallelogram ABCD

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

(0, -8)

Step-by-step explanation:

The distance must be equal from C to A and points B to D.

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anastassius [24]
I believe that's correct.
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Problem PageQuestion Working together, two pumps can drain a certain pool in hours. If it takes the older pump hours to drain th
gizmo_the_mogwai [7]

Answer:

10.5 hours.

Step-by-step explanation:

Please consider the complete question.

Working together, two pumps can drain a certain pool in  6  hours. If it takes the older pump  14  hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Let t represent time taken by newer pump in hours to drain the pool on its own.

So part of pool drained by newer pump in one hour would be \frac{1}{t}.

We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be \frac{1}{14}.

Part of pool drained by both pumps working together in one hour would be \frac{1}{6}.

Now, we will equate the sum of part of pool emptied by both pumps with  \frac{1}{6} and solve for t as:

\frac{1}{14}+\frac{1}{t}=\frac{1}{6}

\frac{1}{14}\times 42t+\frac{1}{t}\times 42t=\frac{1}{6}\times 42t

3t+42=7t

7t=3t+42

7t-3t=3t-3t+42

4t=42

\frac{4t}{4}=\frac{42}{4}

t=10.5

Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.

6 0
3 years ago
HELP WILL REWARD
Phantasy [73]

Answer:

We set up our equations:

 

35x+40y = 1850        eq1

x+y = 50                   eq2

 

Substituting eq 2 into eq 1,

 

35x+40(50-x) = 1850

35x+2000-40x = 1850

-5x+2000 = 1850

-5x = -150

  x = 30

 

Substitute value of x into eq 2.

 

x+y = 50

30+y = 50

     y = 20

 

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

hope this helps


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3 years ago
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The answer is A: y=2x. For more help just google equation of a line solver and calculate it. Have a nice day.
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