Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)
Your answer is B! I hope this helped.
Answer:
8.3 cm
Step-by-step explanation:
So a pentagon has 5 equal sides, and the perimeter is the distance around a figure. Because we know the perimeter is 41.5 centimeters, we just divide that number by 5.
Perimeter (P) = s+s+s+s+s (sides)
P: 41.5 cm ÷ 5 =
8.3 cm
We know this is correct because:
8.3 + 8.3 + 8.3 + 8.3 + 8.3 = 41.5
Hope this helps!
Answer:
9 9/10
Step-by-step explanation:
i dont know what to put but u just remove the decimal and put a 10
Answer:
The imaginary part is 0
Step-by-step explanation:
The number given is:

First, we can expand this power using the binomial theorem:

After that, we can apply De Moivre's theorem to expand each summand:
The final step is to find the common factor of i in the last expansion. Now:



The last part is to multiply these factors and extract the imaginary part. This computation gives:


(It is not necessary to do a lengthy computation: the summands of the imaginary part are the products sin(a)cos(b) and cos(a)sin(b) as they involve exactly one i factor)
A calculator simplifies the imaginary part Im(x⁶) to 0