6561A - Answers to PF Exam number : 6561A 1) WHAT IS THE...

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Unformatted text preview: Answers to PF Exam number : 6561A 1) WHAT IS THE DISTANCE BETWEEN POINTS A(4,-1) AND B(-6,-3)? ANSWER D = 104 D 10.1980 DERIVATION A = (x1,y1) B = (x2,y2) x1 = 4 x2 = -6 y1 = -1 y2 = -3 D = ((x2 - x1) + (y2 - y1)) D = ((-6 - 4) + (-3 + 1)) D = ((-10) + (-2)) D = (100 + 4) D = 104 D 10.1980 ---------------------------------------------------------- 2)WHAT IS THE MIDPOINT OF THE LINE SEGMENT JOINING POINTS A(4,-1) AND B(-6,-3)? a.(5,-2) b.(1/2,-3 1/2) c.(3 1/2,2 1/2) d.(-1,-2) ANSWER d.(-1,-2) DERIVATION A = (x1,y1) B = (x2,y2) x1 = 4 x2 = -6 y1 = -1 y2 = -3 Midpoint = (x3, y3) x3 = (x1 + x2) / 2 = (4 - 6) / 2 = -1 y3 = (y1 + y2) / 2 = (-1 - 3) / 2 = -2 Midpoint = (-1, -2)---------------------------------------------------------- 3)THE DIRECTION OF A STRAIGHT LINE IS SUCH THAT THE LINE FALLS 3 UNITS FARTHER BELOW THE X-AXES FOR EVERY UNIT IT MOVES FARTHER TO THE RIGHT. WHAT IS THE SLOPE OF THE LINE? ANSWER Slope = -3 DERIVATION Slope = (y2 - y1) / (x2 - x1) (y2 - y1) = -3 (x2 - x1) = 1 Slope = -3 / 1 = -3---------------------------------------------------------- 4)THE Y-INTERCEPT OF A STRAIGHT LINE IS BEST DESCRIBED AS a)THE POINT WHERE THE LINE CROSSES THE X-AXIS. b)ANY Y-COORDINATE OF A POINT ON THE LINE. c)THE X-COORDINATE WHEN Y=0 d)THE Y-COORDINATE WHEN X=0 ANSWER d)THE Y-COORDINATE WHEN X=0 DERIVATION The y-intercept is the point on the y-axis which is intercepted by f(x). This value of y is defined for f(x) where (x = 0).(x = 0)....
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This note was uploaded on 03/21/2011 for the course BUS 123 taught by Professor Professorjames during the Spring '11 term at Central Pennsylvania.

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6561A - Answers to PF Exam number : 6561A 1) WHAT IS THE...

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