Question

Line segment MN is shown 3-32 3 N (BM a L L HE tools. Point P is located on MN where PN (x, y) la previous -MN. What are the coordinates of point P? Enter the answer in the boxes in decimal form. Use """" for the decimal.

a) (3.5, 2.8)
b) (4.2, 3.1)
c) (2.9, 4.5)
d) (5.1, 3.6)

Answer 1

The coordinates of point P are (0, 2.5). The correct answer is c) (2.9, 4.5).

Step-by-step explanation:

The coordinates of a point on the line segment MN can be determined using the given information. The coordinates of M are (3, 3), and the coordinates of N are (-3, 2). In order to find the coordinates of point P, we need to find the point where the x-coordinate is halfway between the x-coordinates of M and N, and the y-coordinate is halfway between the y-coordinates of M and N.

The x-coordinate of P is found by taking the average of the x-coordinates of M and N: (3 + (-3)) / 2 = 0 / 2 = 0.

The y-coordinate of P is found by taking the average of the y-coordinates of M and N: (3 + 2) / 2 = 5 / 2 = 2.5.

Therefore, the coordinates of point P are (0, 2.5). Answer choice a) (3.5, 2.8) does not match the calculated coordinates and can be eliminated. Answer choice b) (4.2, 3.1) and answer choice d) (5.1, 3.6) are not possible since the x-coordinate of P is 0, which is not included in either answer choice. Therefore, the correct answer is c) (2.9, 4.5).