Analytic GeometryDistance Formula:CLASSWORK1.Find the distance between (-9, 1) & (-5, -2)2.Find the distance between (10, 3) & (1, -3)3.Length of´BD= ?4.Length of´AD= ?5.Length of´DC= ?Distance Formula:HOMEWORK6.Find the distance between (2, 9) & (-3, 14)7.Find the distance between (-3, 2) & (9, 7)8.length of´AD= ?9.length of´BD= ?10.length of´CD= ?Geometry – Analytic Geometry~1~NJCTL.org#3 - 5#8 - 10
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Chapter 1 / Exercise 24
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Midpoint Formula:CLASSWORKCalculate the coordinates of the midpoint of the given segmentsGeometry – Analytic Geometry~2~NJCTL.org
11.(0, 0), (6, 10)12.(2, 3), (6, 7)13.(4, -1), (-2, 5)14.(-3, 8), (13, -6)15.(-1, -14), (-2, -6)16.(3, 2), (6, 6)3
17.(-5, 2), (0, 4)Calculate the coordinates of the other endpoint of the segment with the given endpoint and midpoint M4
18.endpoint: (4,6), midpoint:(7,11)19.endpoint: (2, 6), midpoint:(-1, 1)20.endpoint: (3, -12), midpoint(2,-1)5
Midpoint Formula:HOMEWORKCalculate the coordinates of the midpoint of the given segments6
21.(0, 0), (8, 4)22.(-1, 3), (7, -1)23.(3, 5), (7, -9)24.(6, 0), (2, 7)25.(-5, -3), (-3, -5)26.(13, 8), (-6, -6)7
27.(-4, -2), (1, 3)Calculate the coordinates of the other endpoint of the segment with the given endpoint and midpoint M8
28.endpoint: (-5, 9)midpoint (-8, -2)29.endpoint: (6, 7)midpoint (10, -7)30.endpoint: (2, 4)midpoint (-1, 7)Partitions of a Line Segment:CLASSWORKPARCC-type Questions:31.Line segment AB in the coordinate plane has endpoints with coordinates A (3, -10) and B(-6, -1).a)Graph´b)Find 2 possible locations for point C so that C divides´ABinto 2 parts with lengths in a ratio of 1:2.32.Line segment EF in the coordinate plane has endpoints with coordinates E (-10, 11) and F (5, -9).a)Graph´ABEF9
b)Find 2 possible locations for point G so that G divides´EFinto 2 parts with lengths in a ratio of 2:3.33.Line segment JK in the coordinate plane has endpoints with coordinates J (11, 11) and K (-10, -10).Findtwo possible locations for point P that divides´JKinto two parts with lengths in a ratio of 3:4.34.Line segment LM in the coordinate plane has endpoints with coordinates L (-12, 10) and M (6, -8).Findtwo possible locations for point P that divides´LMinto two parts with lengths in a ratio of 2:7.35.Line segment RS in the coordinate plane has endpoints with coordinates R(7, -11) and S(-9, 13).Find twopossible locations for point P that divides´RSinto two parts with lengths in a ratio of 3:5.Partitions of a Line Segment:HOMEWORKPARCC-type Questions:36.Line segment AB in the coordinate plane has endpoints with coordinates A (5, -7) and B(-10, 3).a)Graph´b)Find 2 possible locations for point C so that C divides´ABinto 2 parts with lengths in a ratio of 1:4.AB10
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