Answer:
Step-by-step explanation:
to find composite function:
put the inner funtion into the outer function
inner func.=
outer= 
hence,
First, find the nth term
To do this, find the term to term difference...
A
-7 and 3 = 10
3 and 13 = 10
13 and 23 = 10
As the difference is 10, we now write out the 10 times table
10, 20, 30, 40
The next step is to work out how to get from the sequence to the 10x table
B
-7 - 10 = -17
3 - 20 = -17
13 - 30 = -17
23 - 40 = -17
Now use the answer from each section in the general formula
x = An + B
This could also be written as ?n + ?
Using our numbers, this becomes 10n - 17
Now use the formula to work out the 110th term
(10 x 110) - 17
1100 - 17 = 1083
Answer:
n=7 d=8
Step-by-step explanation:
n+d=15 d=15-n
0.05n+0.1(15-n)=1.15
0.05n-0.1n+1.5=1.15
-0.05n=-0.35
n=7 d=8
The answer is sin because x is opposite of the angle and you have the hypotenuse.
2 - 3i is just another of writing (2, -3) in the cartesian plane, the 2-3i however is using the "imaginary axis" for the imaginary plane, is all however the imaginary axis is simply the equivalent of the y-axis. Likewise 9+21i is just (9,21), so let's just use the distance formula.
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{21})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-2]^2+[21-(-3)]^2}\implies d=\sqrt{(9-2)^2+(21+3)^2} \\\\\\ d=\sqrt{7^2+24^2}\implies d=\sqrt{49+576}\implies d=\sqrt{625}\implies d=25](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B-3%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B9%7D~%2C~%5Cstackrel%7By_2%7D%7B21%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d%3D%5Csqrt%7B%5B9-2%5D%5E2%2B%5B21-%28-3%29%5D%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B%289-2%29%5E2%2B%2821%2B3%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d%3D%5Csqrt%7B7%5E2%2B24%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B49%2B576%7D%5Cimplies%20d%3D%5Csqrt%7B625%7D%5Cimplies%20d%3D25)
