Answer:
= 3√3 + 3i
Step-by-step explanation:
Cos 30° = √3/2
Sin 30° = 1/2
Therefore;
z = 6 (cos 30° + i6 sin 30°)
= 6 (√3/2) + i 6 (1/2)
= 3√3 + 3i
The average rate of change of a function, g(x), over an interval [a, b] is given by
Thus, the average rate of change of
over the interval
is given by:
![Average\ rate\ of\ change= \frac{[-(8)^2-4(8)]-[-(6)^2-4(6)]}{8-6} \\ \\ = \frac{(-64-32)-(-36-24)}{2} = \frac{-96-(-60)}{2} = \frac{-96+60}{2} = \frac{-36}{2} \\ \\ -18](https://tex.z-dn.net/?f=Average%5C%20rate%5C%20of%5C%20change%3D%20%5Cfrac%7B%5B-%288%29%5E2-4%288%29%5D-%5B-%286%29%5E2-4%286%29%5D%7D%7B8-6%7D%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B%28-64-32%29-%28-36-24%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96-%28-60%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96%2B60%7D%7B2%7D%20%3D%20%5Cfrac%7B-36%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20-18)
1:3:5
firstly u need to find out how much one will get so u will add all the ratios 1:3:5 and divide by 72k(72000) so you will get 8000
therefore 1 will get 8000
3 will get 8000 multiply by 3 =24000
5 will get 8000 multiply by 5 = 40000
do you understand......if you need any more help ...feel free!!!!
<h3>
Answer: y = 5x+3</h3>
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.
Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.
y = mx+b
-7 = 5(-2) + b
-7 = -10+b
-7+10 = b
3 = b
b = 3
The y = mx+b updates to the final answer of y = 5x+3
6 yards is the answer
144π= πr^2*4 (formula)
the pi’s cancel out
divide 144/4
36=r^2
square root 36 to get rid of the r squared
r= 6 yd
