For this case we have that if the line that passes through point z is perpendicular to line AB, it is fulfilled that:
![m * m_ {AB} = - 1](https://tex.z-dn.net/?f=m%20%2A%20m_%20%7BAB%7D%20%3D%20-%201)
We find the slope of AB:
![m_ {AB} = \frac {y2-y1} {x2-x1}](https://tex.z-dn.net/?f=m_%20%7BAB%7D%20%3D%20%5Cfrac%20%7By2-y1%7D%20%7Bx2-x1%7D)
We choose the points that go through AB:
(-2.4)
(0, -4)
![m_ {AB} = \frac {-4-4} {0 - (- 2)}\\m_ {AB} = \frac {-8} {2}\\m_ {AB} = - 4](https://tex.z-dn.net/?f=m_%20%7BAB%7D%20%3D%20%5Cfrac%20%7B-4-4%7D%20%7B0%20-%20%28-%202%29%7D%5C%5Cm_%20%7BAB%7D%20%3D%20%5Cfrac%20%7B-8%7D%20%7B2%7D%5C%5Cm_%20%7BAB%7D%20%3D%20-%204)
So:
![m * -4 = -1\\m = \frac {1} {4}](https://tex.z-dn.net/?f=m%20%2A%20-4%20%3D%20-1%5C%5Cm%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D)
On the other hand, the point z is (0,2).
Then the cut point with the "y" axis is 2.
The equation of the line is:
![y = \frac {1} {4} x + 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D%20x%20%2B%202)
We test the points:
(-4,1)
![1 = \frac {1} {4} (- 4) +2\\1 = -1 + 2\\1 = 1](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%28-%204%29%20%2B2%5C%5C1%20%3D%20-1%20%2B%202%5C%5C1%20%3D%201)
Is fulfilled
(1, -2)
![-2 = \frac {1} {4} (1) +2\\-2 = \frac {1} {4} +2](https://tex.z-dn.net/?f=-2%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%281%29%20%2B2%5C%5C-2%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%2B2)
It is not true
(2,0)
![0 = \frac {1} {4} (2) +2](https://tex.z-dn.net/?f=0%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%282%29%20%2B2)
It is not true
(4,4)
![4 = \frac {1} {4} (4) +2\\4 = 1 + 2](https://tex.z-dn.net/?f=4%20%3D%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%284%29%20%2B2%5C%5C4%20%3D%201%20%2B%202)
It is not true
Answer:
Option A
Answer:
4 x 3 x n + 4 = 4 x n + 64
Step-by-step explanation:
did u want me to solve it too?
Answer:
B
Step-by-step explanation:
A line can be named either using two points on the line (for example, ↔AB ) or simply by a letter, usually lowercase (for example, line m ). A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.
The set of all even numbers between 2 and 10 inclusive are:
{2, 4,6,8,10}
Since it asked for inclusive so include 2 and 10 as well.