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Segment AB has point A located at (5, 4). If the distance from A to B is 7 units, which of the following is the coordinate for point B? (5 points)

Select one:

a. (3, 2)
b. (-2, 4)
c. (2, 1)
d. (12, 11)

Respuesta :

meerkat18
The correct answer among the choices provided is option B. The right coordinate for point B with 7 units as distance is (-2,4). To arrive at the answer, the distance formula is used. The solution for the problem is:
7= √[(-2-5)² + (4-4)²)
abidemiokin

The  required coordinate for point B will be (-2, 4)

Distance between two points

The formula for calculating the distance between two points is:

  • [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)&^2}[/tex]

Using the coordinates (5, 4) and (-2, 4). The distance between the coordinates is expressed as:

[tex]D=\sqrt{(4-4-x_1)^2+(-2-5)^2}|\\D=\sqrt{0-^2+7^2}\\ D=\sqrt{49} \\D = 7 units[/tex]

Hence the  required coordinate for point B will be (-2, 4)

Learn more on distance here: https://brainly.com/question/17273444