What is the length of segment AB? A coordinate plane is shown. Point A is located at 0, 12, and point B is located at 5, 0. The two points are connected by a line segment.
10 units
12 units
13 units
15 units

Respuesta :

The answer will be 13 units. Hope it help!

The line are connected by segment 13 units

What is distance formula?

The distance between two points P( x, y) and Q (a, b)is given by

Distance= √ ( x- a)² + (y- b)²

The following are the important points related to the distance formula.

  • The distance calculated through the distance formula always takes a positive sign.
  • The distance calculated is the shortest linear distance between the two points.
  • The distance formula gives the same answer for the points located in any of the four quadrants.

Example:

Find the distance between the points (-2, 3), and (5, 6).

The given two points are

(x1,y1) = (-2, 3), and

(x2,y2) = (5, 6)

Using the Euclidean distance formula,

Distance = √(x2−x1)^2+(y2−y1)^2

= √(5+2)2+(3)2

= √72+32

= √49+9

= √58

Given: (0, 120 and ( 5, 0)

Using distance formula

d²=√ (5-0)²  + (0- 12) ²

d²=  √25 + 144

d²= √169

d= 13

Learn more about this concept here:

https://brainly.com/question/12441680

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