The simplest form can be 13/3: 7 or 4.3:7
No. i*i = -1
2i*3i=-6
now if they meant complex numbers the answer is still no
(2+4i)(2-4i) = 4-8i+8i-16 = -12
Answer:
or 
Step-by-step explanation:
<u>Synthetic division:</u>
-5 | 1 11 25
____<u>-5 -30</u>
1 6 | -5
Therefore,
or 
<u>Long division:</u>
n+5 | n² + 11n + 25
- <u>n² + 5n____</u> <-- n
6n + 25
- <u> 6n + 30</u> <-- 6
-5 | n+6
Therefore,
or 
Answer:
The x and y intercept are (20,0)
Step-by-step explanation:
2x-4y=40—eqn1
-x+2y=-20—eqn2
Make x the subject of eqn2
-x=-20-2y
x=20+2y
plug this into eqn 1
2(20+2y)+4y=40
40+4y+4y=40
8y=40-40
y=0
plug y=0 into eqn2
-x+2(0)=-20
-x=-20
x=20
y = cos(7x)
First derivative = -7sin(7x)
Second derivative = - (7^2)cos(7x)
3rd derivative = (7^3)sin(7x)
4th derivative = (7^4) cos(7x)
5th derivative = -(7^5) sin (7x)
6th derivative = -(7^6) cos(7x)
nth derivative ?
Analysis and conclusion
If n is multiple of 4 or a number before a multiple of 8 the sign is positive
If n is one or two numbers after a multiple of 4 the sign is negative.
7 is raised to exponent n
if n is odd the function is sin(7x), if n is even the function is cos(7x)
n = 57 => odd, and it is a number after 56 which is a multiple of 4 => negative sign
Therefore, the 57th derivative = - (7^57)sin(7x)