Answer:
(5 + 3i)(5 − 3i) = 34
Step-by-step explanation:
The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:
So, in this case:
Remember that 
So: 
We replace on the polynomial:
Answer:
0.38268343
Step-by-step explanation:
cos(
67.5
)
Rewrite
67.5
as an angle where the values of the six trigonometric functions are known divided by 2
.
cos
(
135\
2)
Apply the cosine half-angle identity.
±
√
1
+
cos
(
135
)
2
Change the
±
to
+
because cosine is positive in the first quadrant.
√
1
+
cos
(
135
)
2
Simplify
√
1
+
cos
(
135
)
2
√
2
−
√
2
2
The result can be shown in multiple forms.
Exact Form:
√
2
−
√
2
2
Decimal Form:
0.38268343
…
A parallelogram is a quadrilateral<span> or four-sided figure in which the </span>opposite sides are parallel. <span> A rhombus, on the other hand, may be defined as an equilateral parallelogram.</span>
OK, so for this equation, your goal is to get the d, and ONLY the d, on one side of the equation. So, to start out, you need to multiply the entire equation, meaning both sides, by 8 because we are trying to get rid of those pesky fractions.
8(1/8(3d-2)=1/4(d+5))
The equation then turns into this because the 8 and 4 cancelled out with the 8.
1(3d-2)=2(d+5)
Now, we need to distribute the left over numbers into the parenthesis.
3d-2=2d+10
And finally, we need to get the d's on one side, and the numbers on the other, so we subtract 2d from both sides and add the 2 to both sides. They then cancel out to make
d=12
Hope it helps! :)
.09:
"of" means that you have to multiply.
1/10 is equal to .1
If you multiply 0.1 by 0.9 you will get .09
