Title: Second Partial exam
Course: 2025 Probabilidad y Estadística

Q: Find the distance between the points (3, -4) and (9, 4).

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- 64 (Incorrect)
- 6 (Incorrect)
- 10 (correct)
- 10 (Correct)
- 100 (Incorrect)
A: 10 / 10

Q: For the points (5, 3) and (2, 5):

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(a) Find the distance between them.

(b) Find the midpoint of the line segment that joins them.

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- (a) The distance is [Image]. (b) The midpoint is [Image]. (Correct)
- (a) The distance is 13. (b) The midpoint is [Image]. (Incorrect)
- (a) The distance is [Image]. (b) The midpoint is (7, 4). (Incorrect)
- (a) The distance is 13. (b) The midpoint is (7, 4). (Incorrect)
- (a) The distance is 13. (b) The midpoint is [Image]. (Incorrect)
A: (a) The distance is [Image]. (b) The midpoint is [Image].

Q: Find the midpoint of the segment joining the points (5, -6) and (11, 2).

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- (-2, -4) (Incorrect)
- (-2, 8) (Incorrect)
- (-4, -10) (Incorrect)
- (8, -2) (Correct)
- (-10, -2) (Incorrect)
A: (8, -2)

Q: Find the midpoint of the segment that joins the points (6, 0) and (0, 14).

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- (3, 6) (Incorrect)
- (3, 7) (Correct)
- (3, 8) (Incorrect)
- (7, 3) (Incorrect)
- (6, 7) (Incorrect)
A: (3, 7)

Q: Find a point on the y-axis that is equidistant from the points (2, -9) and (7, 0).

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- (0, 0) (Incorrect)
- (0, 5) (Incorrect)
- (-2, 0) (Incorrect)
- (0, -4) (Incorrect)
- (0, -2) (Correct)
A: (0, -2)

Q: Find the point that is one-fourth of the distance from the point P(-1, 5) to the point Q(3, 17) along the segment PQ.

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- (0, -8) (Incorrect)
- (2, 11) (Incorrect)
- (0, 8) (Correct)
- (8, 0) (Incorrect)
- (0, 0) (Incorrect)
A: (0, 8)

Q: If M(9, 7) is the midpoint of the line segment AB, and if A has coordinates (5, 5), find the coordinates of B.

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- (-13, 9) (Incorrect)
- (13, 9) (Correct)
- (-5, -1) (Incorrect)
- (-11, -8) (Incorrect)
- (13, -9) (Incorrect)
A: (13, 9)

Q: Determine the perimeter of the triangle formed with the points A({x},{y}) B({w},{z}) and C ({p},{q}). Round your answer to the nearest hundreth (if needed).
A: sqrt(pow(({w}-{x}),2)+pow(({z}-{y}),2))+sqrt(pow(({p}-{w}),2)+pow(({q}-{z}),2))+sqrt(pow(({p}-{x}),2)+pow(({q}-{y}),2)) (formula; values not in the backup's text)

Determine the coordinates of the trisection points of the segment A(-4,6) B (8,-2).  Attach a picture of your work. 

Determine the perimeter of the quadrilateral formed with the points A(-2,-6) B(0,7) C(8,2) D(3,-5). Sketch the quadrilateral. Attach a picture of all your work.