Answer:
14.1421356i
Step-by-step explanation:
hope it helps
Answer:
The slope is 2/3
Step-by-step explanation:
The line crosses through the blue grid lines leaving gaps on each. Find two points which cross at an intersection such as (0,30) and (30,50). Find the slope by substituting these points into the slope formula:
![m = \frac{y_2-y_1}{x_2-x_1} = \frac{50-30}{30-0} =\frac{20}{30} =\frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%20%5Cfrac%7B50-30%7D%7B30-0%7D%20%3D%5Cfrac%7B20%7D%7B30%7D%20%3D%5Cfrac%7B2%7D%7B3%7D)
Using Distributive Property:
Combine and get all the terms in left sides and set it equal to zero and solve for m.
(m-5) (m-1) = -3 //Basic step of distribution.
m(m-1) -5(m-1) = -3
m^2 - m - 5m + 5 = -3 //Combine like terms and add 3 on both sides.
m^2 - 6m + 8 = 0 //Factor
m^2 - 4m - 2m + 8 = 0
m(m-4) -2(m -4) = 0
(m-4)(m-2) = 0 //Solve for m.
Got two equations:
1)m - 4 = 0
m = 4
2) m - 2 = 0
m = 2
Solution: m = 4, 2
//Hope this helps