Question

Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B? 3 = square root of the quantity of x minus 2 all squared plus y minus 4 all squared 3 = square root of the quantity of x minus 4 all squared plus y minus 2 all squared 3 = square root of the quantity of x plus 2 all squared plus y plus 4 all squared 3 = square root of the quantity of x plus 4 all squared plus y plus 2 all squared Question 17(Multiple Choice Worth 1 points)

Answer 1

Answer:

$3=\sqrt{(x-4)^2+(y-2)^2}$

which agrees with the second option listed

Step-by-step explanation:

Recall that the distance formula between two points  $(x_1, y_1)$  and  $(x_2,y_2)$, is given by:

$distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Therefore, the distance between point (4, 2) and another point with unknown coordinates (x, y), that is at a distance of 3 units from the first one, would be calculated as:

$distance=3=\sqrt{(x-4)^2+(y-2)^2}$