Answer:
1/2 + 3i is the midpoint between -2-3i and 3+9i.
Step-by-step explanation:
Given the complex number
The formula to find the midpoint of two complex number (a + bi) and (c + di) is:





Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.
Answer:
Therefore,
![r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
is the required r
Step-by-step explanation:
Given:
Volume of inside of the sphere is given as

where r is the radius of the sphere
To Find:
r =?
Solution:
We have
......Given
![3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}](https://tex.z-dn.net/?f=3%5Ctimes%20V%3D4%5Cpi%20r%5E%7B3%7D%20%5C%5C%5C%5C%5Ctherefore%20r%5E%7B3%7D%3D%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%5C%5C%5C%5C%5Ctherefore%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D%20%5Ctextrm%7Bwhich%20is%20the%20expression%20for%20r%7D)
Therefore,
![r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
is the required r
Answer:
6
Step-by-step explanation:
n terms of numbers, the greatest common factor is the largest natural number that exactly divides two or more given natural numbers. Example 1: 6 is the greatest common factor of 12 and 18
Answer:
90
Step-by-step explanation:
y^2 + 5y + 6 =
(7)^2 + 5(7) + 6 =
49 + 35 + 6 =
84 + 6 =
90
Answer: B (2,1)
You know what y is (x-1) so you substitute that for y in the other equation.
3x+ ((4)(x-1))=10
3x+4x-4=10
7x=14
x=2
Then put x=2 into y=x-1
y=2-1
y=1