Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows the path y = -2x + 32, while the other skater follows the curve y = -2 x^2 + 18x. Find all points where they might collide if they are not careful.

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: What is the equation of the line that is parallel to the graph of y = 2x – 5 and passes through the…

A: Explained below

Q: Find the point on the line 4x + y = 6 that is closest to the point (-4, 3). (х, у) %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the coordinates of the image of the point (-22) when it is reflected across the line y-7 O…

A: Given that the line y=7 and the coordinates whose image has to be found is (-2,2) Let A be the…

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

A:

Q: Find the equation for the line passing through the point (4, –1) and parallel to the line whose…

A: →The General equation of a straight line is given by Y = mX+C ; where m = slope of straight line.…

Q: opens upward with vertex at (-12,-6) with directrix y=- 17

A:

Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

A:

Q: Pam walks along a road which can be modeled by the equation y 3x, where (0, 0) represents her…

A:

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: What are the coordinates of the point of intersectionof y = 3x - 2 and y = 3 - 2x?

A: Given the curves y=3x-2 and y=3-2x. We need to find the point of the intersection of the two curves.…

Q: Find the points of intersection of the curves y = 5x2 - 3x - 2 and y = 2x - 1.

A: We have the equation of curves as y=5x2-3x-2            ⋯⋯1y=2x-1                      ⋯⋯2

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: point on the line

A: I

Q: Determine what is the minimum distance from the origin to the line  y=-2x+5

A: topic - distance of line from origin

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

A:

Q: Find the distance of the point (6, – 3) from the line 2x – y+4=0.

A:

Q: Find the point on the line y = 2x + 3 that is closest to theorigin.

A: Given equation of line,  y = 2x + 3 To find the point on line that is closest to the origin.

Q: that

A:

Q: What are the coordinates of point of intersection of y=x+3 and y=3x-3?

A: Equating y = x+3 and, y = 3x-3, we get, x+3 = 3x-3 So, 2x = 6 So, x = 3

Q: Where does the line 2æ1 + 3x2 = 4 cross the æ2 axis, i.e., æ2 intercept?

A:

Q: Find the image of the point (1,2) in the straight line 3x+4y-1=0

A:

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

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

A:

Q: + y = 9 that is closest to the point (−5,

A: The line is: 6x+y=9 Point (-5,3)

Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 2).  (x,y)=

A:

Q: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

A: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

Q: Find the point on the line y =2x + 3that is closest to theorigin.

A: Given Data The equation of a line is y=2x+3   Consider the point (x,y) on the equation of line…

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

A: Explanation of the answer is as follows

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A:

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

Q: Find a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).

A: Topic:- geometry

Q: Find the point on the line y=3x-10 that is closest to the origin.

A:

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

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 distance between the two points (-5, 4) and (3, 8).

A:

Q: Find the equation of straight line which passing through point (1, 4) and perpendicular to line…

A: We have to find

Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

A:

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

A:

Q: Find the nearest distance from the point (-4,2) and the line 2x-y 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What are the coordinates of the point lying at the intersection of the lines x = 9 and y = −4?

A: First draw the line in coordinate system:

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

A:

Q: Q, Passes through (4,10) and Peendicular to the line 6x-34=5.

A: