Hey. I was wondering if someone could help me with this question? I asked my teacher to explain it to me, but I still don't get it. I don't care for an answer, I just want to know how to solve. Thanks in advance.
- A (-3, -4)
- B (5, 2)
- C (11, -6)
What is AB?
(I just don't know what they mean by AB? Surely they don't want me to multiply them, do they?)
Thank you everyone. This helps a lot!
We have line AC with end points A and C.
B is a point on line AC.
AB is a portion of AC.
AB = sqrt((5+3)^2 + (2+4)^2) = 10.
A, B, and C are not colinear ... they don't lie on the same line
AB is the distance between A and B ... distance formula?
Oops! I agree.
Of course, I'd be happy to help you understand how to solve the question. In this context, AB refers to the length of the line segment AB. To find the length of AB, you can use the distance formula.
The distance formula is given by:
\[d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\]
In this formula, (x1, y1) represents the coordinates of point A, and (x2, y2) represents the coordinates of point B.
Let's apply this formula to find the length of AB using the given coordinates:
A (-3, -4) and B (5, 2)
Plugging these values into the distance formula, we get:
\[d = \sqrt{(5-(-3))^2 + (2-(-4))^2}\]
Simplifying further:
\[d = \sqrt{8^2 + 6^2}\]
\[d = \sqrt{64 + 36}\]
\[d = \sqrt{100}\]
\[d = 10\]
So, the length of AB is 10 units.