Answer:
Slope = -3
Step-by-step explanation:
The slope is the change in y over the change in x
The slope formula is m=y₂-y₁/x₂-x₁ (y over x)
So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)
So, you would get m=-2-4/1-(-1)
Simplify (first subtract the top, then subtract the bottom)
This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)
-6/2 would get you to -3
The scale factor of VWXY to RSTU is 3 : 14.
Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The scale factor of RSTU to VWXY is 14 : 3.
To find the scale factor of VWXY to RSTU,
Reverse the ratio,
Scale factor of RSTU to VWXY = 1 / scale factor of RSTU to VWXY
= 1 / 14 : 3
= 3 : 14.
The scale factor of VWXY to RSTU is 3:14.
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B. 2
C. 4
D. 6
Answer:
It would take 90 hours to fill the pool.
Step-by-step explanation:
There is a mistake in the question so it is corrected below:
An inlet pipe on a swimming pool can be used to fill the pool in 40 hours. The drain pipe can be used to empty the pool in 45 hours. If the pool is 1/4 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool?
Now, to find the hours would it take to fill the 1/4 pool.
Let the hours it take to fill the pool be
A swimming pool can be used to fill the pool in 40 hours.
So, the rate of filling the pool = .
As, given the drain pipe can be used to empty the pool in 45 hours.
Thus, the rate of draining the pool = .
According to question:
Using cross multiplication:
Dividing both sides by 20 we get:
Therefore, it would take 90 hours to fill the pool.