Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula
![\frac{a+c}{2} + \frac{b+d}{2} i](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2Bc%7D%7B2%7D%20%2B%20%5Cfrac%7Bb%2Bd%7D%7B2%7D%20i)
A = (-1+9i) and B=(5-3i)
Midpoint for AB is
![\frac{-1+5}{2} + \frac{9+(-3)}{2}i](https://tex.z-dn.net/?f=%5Cfrac%7B-1%2B5%7D%7B2%7D%20%2B%20%5Cfrac%7B9%2B%28-3%29%7D%7B2%7Di)
![\frac{4}{2} + \frac{6}{2}i](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B2%7D%20%2B%20%5Cfrac%7B6%7D%7B2%7Di)
2 + 3i , so midpoint is (2,3)
we know that
Quotient is the number resulting from the division of one quantity by another
Let
x--------> the first quantity
y------> the second quantity
q------> the quotient
So
-------> equation 1
in this problem
![x=4.13*10^{-8} \\ y= 0.04*10^{5}](https://tex.z-dn.net/?f=x%3D4.13%2A10%5E%7B-8%7D%20%5C%5C%20y%3D%200.04%2A10%5E%7B5%7D)
Substitute the values in the equation 1
![q=\frac{4.13*10^{-8}}{0.04*10^{5}}](https://tex.z-dn.net/?f=q%3D%5Cfrac%7B4.13%2A10%5E%7B-8%7D%7D%7B0.04%2A10%5E%7B5%7D%7D)
Simplify
![q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}](https://tex.z-dn.net/?f=q%3D%5Cfrac%7B4.13%2A10%5E%7B-8%7D%7D%7B0.04%2A10%5E%7B5%7D%7D%3D%5Cfrac%7B4.13%7D%7B0.04%7D%2A10%5E%7B-8%7D%2A10%5E%7B-5%7D%3D%5Cfrac%7B4.13%7D%7B0.04%7D%2A10%5E%7B-13%7D%5C%5C%20%5C%5Cq%3D103.25%2A10%5E%7B-13%7D%5C%5C%20%5C%5Cq%3D%20%281.0325%2A10%5E%7B2%7D%29%2A10%5E%7B-13%7D%5C%5C%20%5C%5Cq%3D%201.0325%2A10%5E%7B-11%7D)
therefore
<u>the answer is</u>
The quotient is equal to ![1.0325*10^{-11}](https://tex.z-dn.net/?f=1.0325%2A10%5E%7B-11%7D)
It am sure it will be 12j
Answer:
ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made
9/12=0.75
so c
Hope This Helps!!!
Answer
10
Step-by-step explanation: