In Exercises 23 to 30, determine the value of x so that line l will be parallel to line m. t 23. m/4 = 5x mZ5 4(х + 5) 1 3 4 24. mZ2 4х + 3 3) mZ7 5(х 6 7 8 25. mZ3 mZ5 = x 26. mz1 5 + 35 Exercises 23–30 3x mZ5 4 27. m26 x - 9 m2 x(x 1) 28. m/4 2x? – 3x + 6 mZ5 2x(х 1) – 2 (x + 1)(x + 4) (x² – 2) 29. mZ3 = mZ5 16(х + 3) (x² - 1)(x + 1) x(x + 1) 30. mZ2 = mZ8 = 185 - I||| || || I||| I| ||

Q: Find the distance between the given pair of points in Exercises 25–28. 25. (−1, 4, −3) and (−4, 3,…

A: To find the distance between the pair of points given: d=x2-x12+y2-y12 in a two coordinate plane.…

Q: Archaeologists find three scattered bones from a dinosaur and map their location in a coordinate…

A: Given:-               To find the best location to look for more bones is:

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

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Q: gradient of -2 and passes through point (4,-5). Find the intersection point of the straight lines AB…

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Q: 2) ỳ + ỳ = 3x²

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Q: 2- A line through point (-3,4) is perpendicular to the line y = 2x - 3. Find the point where the…

A: Point of intersection is (11/5, 7/5)

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

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Q: Exercises 59-68: Find the midpoint of the line segment connecting the points. 59. (1,2). (5, –3) 60.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

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Q: 1) 2) 3) -3-2-18 O 2

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: If point A with coordinates (-5,-1) is translated 5 units right, which repersents the new location.…

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Q: 3,10 on coordinate plane

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Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

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Q: Exercises 71–74: The intercept form of a line is + = 1. Determine the x- and y-intercepts on the…

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Q: 3-) Find the equatin ot the family4 l lines in 3-5pa ce perpendicular to 2x-y+2=6.

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Q: 30. (-2, 2) reflected through the origin is a. (2, 2) b. (2, -2) с. (-2, 2) d. (-2, -2)

A: Rule:- A point  (x,y) after reflection through origin becomes ( -x , -y )

Q: Plot each pair of points. Connect the two points in each pair. a) A(3, 4) B(5,0) b) C(-3,-1) D(0, 4)…

A: The points are: (a) A(3, 4)          B(5, 0) (b) C(-3, -1)       D(0, 4) (c) E(5, -4)         F(3,…

Q: Show that the equation of the line in R² can be written as х det 1 X1 У1 X2 У2.

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Q: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

Q: Assume a line y = mx + c, [asses through the points (1, 15) and (-3, -5) Determine the slope, m, of…

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