use a graphing utility to graph theequation. Move the cursor along the curve to approximate theunknown coordinate of each solution point accurate to twodecimal places.$y=x^{5}-5 x$(a) $(-0.5, y)$(b) $(x,-4)$

Q: Find the distance between the two points (7,8,-8) and (9,0,-5). Give your answer as a decimal…

A: Finding the distance between two points

Q: Find the distance between the points (-4,-2) and (-3,0)

A: we have to find the distance between the points (-4,-2) and (-3,0)

Q: Solve step by step in digital format please 5. Prove analytically that the midpoint of the…

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Q: Find the point on the line 2x + y = 7 that is closest to the point (−5, 2).

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Q: Find an equation of the line through the point ( 3, 5 ) thatcuts off the least area from the first…

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Q: Find the distance between the points (-4, 6) and (1, -4)

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Q: Find the equation of a straight line passing through the point (2,3) and making non-zero intercepts…

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Q: Estimate the x- and y-intercepts from the graph. 2- -9 -8 -7 -6 -5 -4 -3 -2 -1, 2 3 4 5 6 78 9 -2 -3…

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Q: Find the point on the line 3x + y = 6 that is closest to the

A: Explanation and solutions is given below....

Q: The slope of a line that is parallel to 2x – y = 1 is т — The equation of the line (in…

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Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: A line with a slope of 1 passes through the point (6, 3). What is its equation in slope-intercept…

A: The given slope of line 1 passes through the point (6,3). As the general equation for…

Q: Find the distance between the two points: (2,8) and (8,-4) distance =

A: Consider the given points as A(x1,y1) = (2,8), B(x2,y2) = (8,-4).

Q: Find an oquation of the line containing the point (-2, 6) and a. parallel to 2x +y-5 perpendicular…

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Q: Find the curve having the given slope that passes through the indicated point y'= 2x - 5,(5,4).

A: We have the slope of the curve given as y'=2x-5dydx=2x-5 Now, ∫dy=∫2x-5dxy=2x22-5x+Cy=x2-5x+C

Q: Find the distance between the points (−10-10, −14-14) and (−11-11, −8-8)

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Q: please solve and show your work

A: The given points are

Q: Find an equation of the line through the point (3,5) thatcuts off the least area from the first…

A: The line with slope m (where m < 0 through (3, 5)).

Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: Find all points having an x-coordinate of 2 whose distance from the point  (-2, - 1) is 5.

A: Distance(D) between two points Ax1, y1 and Bx2, y2 is D2=x1-x22+y1-y22…

Q: Graph the line that passes through the points (7, 0) and (–2,9) and determine the equation of the…

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Q: Find the midpoint of the line segment whose end points given. are (2, -5) and (-1, 2)

A: For (a,b),(c,d)Midpoint a+c2,b+d2

Q: If a line has a slope of 2 and passes through point (-1,17). Type in the equation for the 1st step…

A: y = mx + b slope  m = 2  (x, y) =(-1, 17)

Q: Find an equation of the vertical line with the given property. Passes through the point (−7, 9)

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Q: Write an equation for a line perpendicular to y = -5x+5 and passing through the point (5,-4) I3D

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Q: Find the equation of the line parallel to the line y=2x+1 and containing the point (3,5) . Express…

A: Given line,   y = 2x + 1 slope-intercept form, y = mx + c slope of the given line, m1 = 2 A line…

Q: Find the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the…

A: Solution

Q: Write the equation of the line that passes through the points (4,7) and (10,10). Express your answer…

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Q: Find an equation in slope intercept form that passes through the point (5,12) and has an x intercept…

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Q: Find the point on the line 6x + y = 9 that is closest to the point (−5, 2).

A:

Q: Find the distance between each pair of point: (-3, 4) and (-4, -2).

A: Given : To determine the distance between -3,4 and -4,-2.

Q: Find the distance between the two points. 4. (0, 0), (4, 3) 5. (0,-7), (5, 5) 6. (4, 2), (-1, 5) 7.…

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Q: Find the distance between the points (5, -3) and (-7, -3) Distance: X Ś ?

A: Distance between two pints is given by below:

Q: Find the point on the line 4x + y = 5 that is closest to the point (−4, 2).

A:

Q: Find the point on the line 2x + y = 6 that is closest to the point (−5, 2).

A: The distance from a point to a line is the shortest distance from a given point to any point on an…

Q: Write an equation for a line perpendicular to y = – 4x + 2 and passing through the point (4,-2) y=…

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Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

A:

Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 2).

A: We have to find the  point on the given line closest to another point.

Q: Find the point on the line 2x + y = 6 that is closest to the point (−5, 3).

A:

Q: Find the distance between the points (-1,2) and (1,-1)

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Q: Find the distance between the points. (1, 6, 3), (-2, 4, 6)

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Q: Find the point on the line 5x + y = 5 that is closest to the point (−4, 2).

A: Given,  The equation of the line  5x + y = 5   We have to find the point on the line which is…

Q: Find the distance between the two given point (-5,-3) and ( -2,3)

A: To Determine: Find the distance between the two given point Given: we have two points (-5,-3) and (…

Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: 2. Write the equation of a line perpendicular to y = -x+4 and that passes through point (-5,-4) in…

A: Explanation: Given that: y=-59x+4 Concept: 1. Standard equation of line y=mx+c where m is slope c is…

Q: Find the point on the line 4x + y = 6 that is closest to the point (−5, 3).

A: Here to solve question closest distance is perpendicular distance.

Q: The equation of the vertical and horizontal line through the point (-5,6) is: x=5, y=-6 x-6, y=-5…

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Q: what is its terminal point?

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Q: Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to the…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.