Answer:
The distance between points A and B is 13
Step-by-step explanation:
We need to find distance between points A and B
Looking at the graph,
Point A : (2,6) and Point B: (-3,-6)
We need to find the distance between these points.
The formula used is:
We have Points A : (2,6) and B: (-3,-6)
So,
Putting values in formula and finding distance
So, the distance between points A and B is 13
Answer: Lionel should be the correct answer.
Step-by-step explanation: When you are talking about age, that means time. Time is continuous, never stopping or slowing down for anyone. Therefore the graph should be continuous.
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i