Solve the problem.The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices.  

src="https://sciemce.com/media/4/ppg__sdsd0523191652__f1q73g6.jpg" style="vertical-align: -15.0px;" />Find the final course score for Student 3 for both grading System 1 and System 2.

A. System 1: 76.5; System 2: 92.5
B. System 1: 48.6; System 2: 53
C. System 1: 85.4; System 2: 84.5
D. System 1: 76.6; System 2: 76

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Answer: C

Mathematics

The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle.C

A. C B. R C. T D. S

Approximate using a Reimann sum with n = 4 .

What will be an ideal response?

Write an equation, in slope-intercept form if possible, of the line through the pair of points.(-5, -8) and (9, -8)

A. 9x - 5y = 0 B. -5x + 9y = 0 C. x = -5 D. y = -8

Solve the problem.The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is given by Area = ± , where the symbol ± indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are (9, 2), (7, -9), and (-5, -3).

A. 13 square units B. 72 square units C. 26 square units D. 144 square units