Answer:
The pairs are (13,15) and (-15,-13).
Step-by-step explanation:
If n is an odd integer, the very next odd integer will be n+2.
n+1 is even (so we aren't using this number)
The sum of the squares of (n) and (n+2) is 394.
This means
(n)^2+(n+2)^2=394
n^2+(n+2)(n+2)=394
n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2
Combine like terms:
2n^2+4n+4=394
Subtract 394 on both sides:
2n^2+4n-390=0
Divide both sides by 2:
n^2+2n-195=0
Now we need to find two numbers that multiply to be -195 and add up to be 2.
15 and -13 since 15(-13)=-195 and 15+(-13)=2
So the factored form is
(n+15)(n-13)=0
This means we have n+15=0 and n-13=0 to solve.
n+15=0
Subtract 15 on both sides:
n=-15
n-13=0
Add 13 on both sides:
n=13
So if n=13 , then n+2=15.
If n=-15, then n+2=-13.
Let's check both results
(n,n+2)=(13,15)
13^2+15^2=169+225=394. So (13,15) looks good!
(n,n+2)=(-15,-13)
(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!
It would be: 12/15 = 4/5
In short, Your Answer would be 4/5
Hope this helps!
Answer:
1 3/8
Step-by-step explanation:
First, change the mixed fraction to improper fraction.
2 3/4 = 8/4 + 3/4 = 11/4
1/2 of 11/4 = (11/4)(1/2) = 11/8
11/4 - 11/8 = 22/8 - 11/8 = 11/8
11/8, or 1 3/8 is your answer.
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Answer:
the answer is A
Step-by-step explanation:
A. -5x + 3y = 15 is your answer. this is because the slope is 5/3 and the y-intercept is 5 so you plot those onto the graph and this shows it.
hope this helps, God bless!
