# math

Find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x - 2y = 10. Give your answer as a list of points separated by semicolons, with the points ordered such that their x-coordinates are in increasing order. So "(1,-3); (2,3); (5,-7)" - without the quotes - is a valid answer format.)

1. 👍 0
2. 👎 0
3. 👁 84
1. all points (x,y) that are 13 units away from the point (2,7) defines a circle:

(x-2)^2 + (y-7)^2 = 169

so, the line x-2y=10 may intersect the circle in 0,1, or 2 points.

So, plug x=2y+10 into the equation of the circle and see where the two graphs intersect.

1. 👍 0
2. 👎 0
posted by Steve
2. see whether you get what wolframalpha does:

https://www.wolframalpha.com/input/?i=solve+%28x-2%29^2+%2B+%28y-7%29^2+%3D+169,+x-2y%3D10

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Algebra

Find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x-2y=10.

asked by Trish Goal on November 6, 2014
2. ### math

Points A and B lie on the graph of the equation y = -4.3x. What are the y coordinates for each point? Point A: (-3, ) Point B: (5, ) Not multiple choice.. confused on how to find the other points

asked by Anonymous on October 23, 2014
3. ### Calc

Describe the given set with a single equation or with a pair of equations. The set of points in space that lie 2 units from the point (0,0,1) and, at the same time, 2 units from the point (0,0,-1). I wrote distance equations for

asked by Anon on August 25, 2015
4. ### maths

eight points lie on the circumference of a circle. one of them is labelled P. chords join some or all of the pairs of these points so that the seven points other than P lie on different numbers of chords. what is the minimum

asked by Jarin on July 22, 2007
5. ### Math

Rewrite the following definition as a biconditional: Points that lie on the same line are collinear. A.) If a point lies on a line, then it is collinear. B.) If a point lies on a line with another point, then the two points are

asked by Anonymous on September 4, 2014
6. ### math

Which point has the coordinates(-0.5,- 2.5 )? A.point A B.point B*** C.point C D.point D What are the coordinates of point C? A. (-1, 2) B. (- 2,2) C. ( 1.5 ,2)*** D. (- 1.5, 2) Which statement is true about the ordered pair

asked by Street fighter on April 13, 2019
7. ### Math

Consider the points (3, 4) and (3, −4). When the two points are compared, which statement is NOT TRUE? 50 Points please help!!!!! A) Both points are 4 units away from the x-axis. B) One point is 4 units above the x-axis. C) One

8. ### Math

1. A small town is represented on a graph in the coordinate plane. The coordinates of the post office are left-parenthesis 2 comma 3 right-parenthesis. Which other building is in the same quadrant? (1 point) a, bank

asked by ? on May 2, 2018
9. ### math

3.Graph the points A(–5, 0 ), B(–4, 3), and C(0, –4) on the same coordinate plane. 2. Without graphing, identify the quadrant in which the point (x, y) lies if x < 0 and y < 0. (1 point) 3.Determine which ordered pair is a