Answer:
Length of AC = 11 units
The coordinates of C = (-9, 2)
Explanation:
Given:
- Point A is at (2, 2) and Point B is at (-4, 2).
- Point B is on the line segment AC .
- Distance from B to C is 5.
To find:
- Coordinates of Point C
- The length of AC.
Solution:
Since the x coordinate is different in point A and B which becomes negative but y coordinate is constant.
so, we can say that:
Point C lies in second quadrant.
Therefore, x coordinate of C is -5 units far from x coordinate of B.
So,
Coordinate of C is (-4-5,2)=(-9,2)
Now,
let's find the length of AC.
We can use the distance formula to calculate the distance between points A and C:
The distance formula is a formula used to find the distance between two points in a coordinate plane. It is given by the following formula:

where:
- d is the distance between the two points
- x1 and y1 are the coordinates of the first point (2,2)
- x2 and y2 are the coordinates of the second point(-9,2)
Substituting the coordinates of A and C:

So, the length of AC is 11 units, and the coordinates of C is (-9, 2).