
x=8
16-8=8

Use a calculator to find the square root of 8.
Answer:
Prove set equality by showing that for any element
,
if and only if
.
Example:
.
.
.
.
.
Step-by-step explanation:
Proof for
for any element
:
Assume that
. Thus,
and
.
Since
, either
or
(or both.)
- If
, then combined with
,
. - Similarly, if
, then combined with
,
.
Thus, either
or
(or both.)
Therefore,
as required.
Proof for
:
Assume that
. Thus, either
or
(or both.)
- If
, then
and
. Notice that
since the contrapositive of that statement,
, is true. Therefore,
and thus
. - Otherwise, if
, then
and
. Similarly,
implies
. Therefore,
.
Either way,
.
Therefore,
implies
, as required.
For this use the law of sines:


cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:

therefore answer B. 42 is the correct answer!!
Answer:
27, 26
Step-by-step explanation:
27^2 -26^2 = 729 -676 = 53
If the numbers are integers, they must differ by an odd number. For some odd number k, we will have ...
(x +k)^2 -x^2 = 53
2xk +k^2 = 53
x = (53 -k^2)/(2k)
x = 53/(2k) -k/2
The second term is an odd multiple of 1/2. The first term will be an odd multiple of 1/2 only for k=1. For k = 1, we have ...
x = (53 -1)/2 = 26
The two numbers are 26 and 27.
Answer:
9/4 = 2 1/4
Step-by-step explanation: