Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
Answer:
<h2><u>
=</u>
<u>
57
/ 514 </u>
<u>
(Decimal: 0.110895)</u></h2>
Step-by-step explanation:
57
/ 514
<u>= 57
/ 514
</u>
<u>(Decimal: 0.110895)</u>
<u></u>
<u></u>
<u></u>
<u></u>
<u></u>
<u></u>
<u></u>
<u></u>
<u></u>
<h2><u>
And if that is not what you are looking for here: </u></h2><h2><u>
</u></h2>
Rewrite the equation as
x
/14
= 5/
7
. x/
14
= 5/
7
Multiply both sides of the equation by
14.14 ⋅ x
/14
= 14
⋅
5
/7
Simplify both sides of the equation.
Tap for fewer steps...
Cancel the common factor of 14
.
Cancel the common factor.
14
⋅ x
/14
= 14
⋅
5
/7
Rewrite the expression.
x
=
14
⋅
5
/7
Simplify 14
⋅ 5/
7
.
Cancel the common factor of 7
.
Factor 7 out of 14
.
x
=
7
(
2
)
⋅
5/
7
Cancel the common factor.
x
=
7
⋅ 2
⋅ 5/
7
Rewrite the expression.
x =
2
⋅
5
Multiply 2 by 5
.
<u>x
=
10</u>
Answer:
Simplifying
6n + 7 + -2n + -14 = 5n + 1
Reorder the terms:
7 + -14 + 6n + -2n = 5n + 1
Combine like terms: 7 + -14 = -7
-7 + 6n + -2n = 5n + 1
Combine like terms: 6n + -2n = 4n
-7 + 4n = 5n + 1
Reorder the terms:
-7 + 4n = 1 + 5n
Solving
-7 + 4n = 1 + 5n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5n' to each side of the equation.
-7 + 4n + -5n = 1 + 5n + -5n
Combine like terms: 4n + -5n = -1n
-7 + -1n = 1 + 5n + -5n
Combine like terms: 5n + -5n = 0
-7 + -1n = 1 + 0
-7 + -1n = 1
Add '7' to each side of the equation.
-7 + 7 + -1n = 1 + 7
Combine like terms: -7 + 7 = 0
0 + -1n = 1 + 7
-1n = 1 + 7
Combine like terms: 1 + 7 = 8
-1n = 8
Divide each side by '-1'.
n = -8
Simplifying
n = -8
Step-by-step explanation:
Answer:
B) (0,0); r=5
Step-by-step explanation:
A circle's standard form is (x-h)^2+(y-k)^2=r^2
The center is (h, k) and the radius is r.
So, here the center would be (0, 0) and the radius would be square root 25, or 5.
