Answer:
Another rational number
Step-by-step explanation:
Here, we want to get the type of number that should be added to a rational number to explain that the sum of two rational numbers is rational
What we simply have to do here is to add another rational number to the rational number we have already
By adding another rational number to the rational number we have, we will get another rational number
That has successfully proven what we are trying to prove
Answer:
Step-by-step explanation:
Given
Function; 
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of:
The slope intercept of an equation is in form;
<em>Where m represent the slope</em>
Comparing 
to ;
We'll have that
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
Substitute
Divide both sides by -2
The point slope form of a line is;
Where 
and
becomes
Open the inner bracket
<em>Hence, the point slope form of the perpendicular line is: </em>
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Answer:
3/4
Step-by-step explanation:
Absolute value is the distance from zero.
Answer:
Pool A.
Step-by-step explanation:
This can be solved through ratios. You would write it as 
So, 
for the first one, and 
for the second. You might want to use a calculator for that part, but you could also change the gallons to cups, which gives you a much better number of 10.515. So, 
, and 
So, pool A is at a faster rate. If you want it in gallons per minute, it's by 0.01 (with the 1 repeating) gallons per minute. By cups, it's 0.17525 cups per minute.
(The reason I did not do this by cross multiplying and dividing ratios is because it gives you the exact same answer if you are finding it per one, as I am here with per one minute. You can do it this way, it just wastes a bit of time.)
Answer:
The mean is 6.2.
Step-by-step explanation:
The "mean" is the same thing as the "average". Essentially, the question is asking for the average of the numbers.
So:
Add up all of the terms. [6 + 11 + 5 + 2 + 7] = 31
You find the average by dividing the sum of the terms (31) by the number of terms (5).
31/5 = 6.2
The mean is 6.2.
I hope this helped! :)
