Answer:
i = 7.5
Step-by-step explanation:
(5-3i)+(10+5i)
(5+10)+(5i-3i)
15+2i
15=-2i
15/2-i
7.5=i
Answer:
4(x - 3)(x^2 + 3x + 9)
Step-by-step explanation:
4x^3 - 108 = 4(x^3 - 27), or
4(x^3 - 3^3), or
4(x - 3)(x^2 + 3x + 9)
We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.
Answer:
z = -9.538546756+ 15.26486573i
Step-by-step explanation:
z = |z| cos theta + |z| i sin theta
We know |z| and theta
z = 18 cos 122 +18i sin 122
z = -9.538546756+ 15.26486573i
We are considering the function

the graph of this function is the graph of the parent function

after applying the following steps.
1. multiply by -1:

is

reflected with respect to the x-axis.
2. multiply by 5:

is

shrinked towards the y axis.
for example, consider x=1/2

now this means that

is "lower" than

, which means there is a shrinking of the graph.
3. add 5:

is

shifted 5 units up.
4.
so the graph of the function a) opens down, b) is shifted 5 units up, c) is not wider than the parent function
Answer: False
Answer:
D
Step-by-step explanation: