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!
Answer:
top row on 9 page; 9) 53/5 10) 26/4 11) 37/4
bottom row on 9 page; 9) 8 and 1/7 10) 6 and 3/4 11) 1 and 1/3
top row on 3 page; 3) 2 and 2/7 4) 5 and 3/4 5) 8 and 1/10
bottom row on 3 page; 3) 4/3 4) 3/2 5) 12/5
top row on 12 page; 12) 21/10 13) 62/6 14) 57/6
bottom row on 12 page; 12) 1 and 9/10 13) 10 and 1/2 14) 3 and 3/8
Step-by-step explanation:
You never specified if these had to be simplified or turned into a fraction, so I just simplified them. That's about it.
I hope this helps :)
You want to isolate x. To accomplish this, add 1.4 to both sides of your eqn.:
x = 7.82 + 1.4 = 9.22 (answer)
Answer:
B and D
Step-by-step explanation:
Answer:-47 3/4
Step-by-step explanation:
The correct answer would be -47 3/4
You would use the equation
-32 1/4 - 15 1/2 = -47 3/4
to find your answer
