At first let's multiply the second terms of the given expression. So,
(8-3i)(8+8i) = 8*8 +8*8i - 3i*8 -3i*8i
= 64 + 64i -24i -24i^2 (By multiplying)
= 64 +40i -24*(-1) (Adding the like terms and i^2=1)
=64 +40i +24 (Since (-24)*(-1)= +24)
= 88+40i (Adding the like terms).
Now the original equation is :
(8-3i) - (8-3i)(8+8i) = (8-3i)-(88+40i)
=8 - 3i -88 -40i
=(8-88)-3i -40i (By grouping the like terms)
=-80 -43i (Combine the like terms).
So, the value of the given expression is -80 -43i.
Answer:
Trevon scored -8.
Beth's score was 3/4 of trever's score = -8 *3/4 = -6
leah's score was 1/4 of beth's score. = -6 *1/4 = -1.5
Leah's score was -1.5
Answer:
See below.
Step-by-step explanation:
First, use the co-function identity:
We can turn the second term into cosine:
Substitute:
Now, use the sum to product formulas. We will use the following:
Substitute:
Use the even-odd identity:
Therefore:
Replace the second term with the original term:
Proof complete.
True
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Answer:
A
Step-by-step explanation:
Ok so firstly, observing the shape of the graph, it's a maximum. Looking at the turning point which is(-2,1) , the minimum value would be y=1