a. At what point should the origin be shifted if the coordinates of a point (4, 5) become (-3, 9)? b. The equation of a curve referred to the new axes, axes retaining their directions, and origin (4, 5) is X 2 + Y 2 = 36. Find the equation referred to the original axes.

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: 7) Think of two points with coordinates (0, 32) and (100, 212) and determine the equation of the…

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Q: 2. Passes through (3, 5) and (-1, 5) 3 4. Perpendicular to the line y=--x-7 2 and passes through…

A: Given points (3,5) and (-1,5) Therefore slope m = (y2-y1)/(x2-x1) m = (5-5)/(-1-3) = 0 Therefore…

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Q: Give equations and sketch graphs of the lines passing through (-2,2) and parallel to y=2-5x

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Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: 5. Parallel to the line 2x + 5y = -20 and passes through (15,6)

A: According to expert guidelines of bartleby i have to solve only first problem so repost the problem…

Q: Write an equation for the line through the point (-1, 2) that is (a) parallel, and (b) perpendicular…

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Q: Parallel to y = 11, through (-12,3)

A: The slope of line y=k is 0. Any two parallel lines have equal slopes.

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Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: Find the equation of the line through the points (-1,-1) and (5,2) using point-slope form. Then…

A: -1, -1 & 5, 2. Equation of a line passing through the points x1, y1 & x2, y2 is,…