Q1, HW #15 - Partition Segments & Weighted Averages

What is the midpoint of the segment with endpoints at (5, -6) and (1, 2)?

• (3, -2)
• (-2, 4)
• (4, -8)
• (2, -3)

What is the midpoint of the segment with endpoints at (-2, -3) and (-6, 1)?

• (-4, -1)
• (-2, 2)
• (4, -4)
• (-5, -2)

What point divides the segment from (-3, 1) to (29, 9) into the ratio 1:7?

• (1, 2)
• (4, 1)
• (25, 8)
• (1, 3)

What point divides the segment from (0, 3) to (16, -21) into the ratio 2:6?

• (4, -3)
• (2, -3)
• (12, -15)
• (5, -3)

What point divides the segment from (10, -5) to (-6, 11) into the ratio 3:5?

• (4, 1)
• (-2, 2)
• (0, 5)
• (4, -1)

A student's grade in a Psychology course is comprised of tests (40%), quizzes (20%), papers (20%), and a final project (20%). His scores for each of the categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project). Calculate his overall grade.

• 90.25
• 88.2
• 89.2
• 86.7

A history professor weights his grades as follows:

Tests 50%

Attendance 25%

Final exam 25%

If Susy earned an average of 91 on her tests, 80 on her attendance and 85 on her final exam, what will her final grade in the class be?

• 85.33

• 85

• 86.75

• 83.75

What is the weighted average of these two numbers: 6 and 10, if the first number has a weight of 1/4 and the second number has a weight of 3/4?

Mathematical Equivalence

ON

Find the point that is 2/5 of the distance from C to D.

• (-1, 2)

• (0, 0)

An example of 3 non-collinear points.

• D, E, F

• C, B, E

• M, E, K

• F, B, A