Answer:
-6
Step-by-step explanation:
The pattern here is that you substract 15 every time you move a number (left to right) , therefore: 9-15 = -6
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Answer: The height of the kite above the point at which the string is held is
feet.
Step-by-step explanation:
Given : A kite is being flown at
. The string of the kite is 120 feet long.
Let AB denote the string of kite and AC be the height of the kite above the point at which the string is held.
Now, in right Δ ABC

hence, The height of the kite above the point at which the string is held is
feet.
Answer:
Step-by-step explanation:
Combine real terms and combine complex terms
1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i
= 5 + (2-5)i
= 5 + (-3)i
= 5 - 3i
3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i) = 2 -1 + 2i + 4 - 5i - 1 + 3i
{- is distributed to (1 - 2i) & - is distributed to (1- 3i)}
= 2 - 1 + 4 + 1 + 2i - 5i + 3i
= 6 +0i = 6
5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i
= 8
7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i {(a - b)² = a² - 2ab +b²}
= 9 -12i + 4i² + 3 + 2i
= 9 - 12i + 4*(-1) + 3 + 2i {i² = -1}
= 9 +3 - 4 - 12i +2i
= 8 - 10i
