Solve the problem.
-The position of an object in a video game is represented by an ordered pair. The coordinates of the ordered pair give the number of pixels horizontally and vertically from the origin.
a. Suppose that player A is located at $( 54,337 )$ and player B is located at $( 414,63 )$. How far apart are the players? Round to the nearest pixel.

b. If the two players move directly toward each other at the same speed, where will they meet?
A) a. 634 pixels; b. $( 234,200 )$
B) a. 452 pixels; b. $( 59,376 )$
C) a. 452 pixels; b. $( 234,200 )$
D) a. 634 pixels; b. $( 59,376 )$

Question

Solve the problem.
-The position of an object in a video game is represented by an ordered pair. The coordinates of the ordered pair give the number of pixels horizontally and vertically from the origin.
a. Suppose that player A is located at $( 54,337 )$ and player B is located at $( 414,63 )$. How far apart are the players? Round to the nearest pixel.

b. If the two players move directly toward each other at the same speed, where will they meet?
A) a. 634 pixels; b. $( 234,200 )$
B) a. 452 pixels; b. $( 59,376 )$
C) a. 452 pixels; b. $( 234,200 )$
D) a. 634 pixels; b. $( 59,376 )$

Quizplus · Accepted Answer

To find the distance between the two players, we use the distance formula: $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given coordinates, we get $\sqrt{(414 - 54)^2 + (63 - 337)^2} = \sqrt{(360)^2 + (-274)^2} = \sqrt{129600 + 75076} = \sqrt{204676}$, which is approximately 452 pixels. To find the midpoint where they meet if they move directly towards each other at the same speed, we calculate the average of their x-coordinates and y-coordinates: $((54 + 414) / 2, (337 + 63) / 2) = (234, 200)$.

Solve the Problem (54,337)( 54,337 )(54,337) And Player B Is Located At

Solve the Problem $( 54,337 )$ And Player B Is Located At