# Trig/Math

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

so far i have
5=sqrt((-1-2)^2+(-2-y)^2)
5=(-3)^2

how do i simplify the rest of the equation so i can find x. do i foil it out? thanks.

1. 👍 0
2. 👎 0
3. 👁 119
1. Geometrically, you are looking for the intersection of a vertical line (x=2) with a circle centred at (-1,-5) with a radius of 5.

Line L1: x=2
Circle C1: (x-(-1))²+(y-(-5))²=5²
(x+1)²+(y+5)²=25
Substitute x=2 in C1:
(2+1)²+(y+5)²=25
(y+5)²=25-3²=16=4²
(y+5) = ±4
So there are two solutions, y=-9 or y=-1

1. 👍 0
2. 👎 0
2. thank you!!

1. 👍 0
2. 👎 0
posted by Josh
3. You're welcome.
Do give a check on the distance between the centre and the intersection points to complete the question.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### (Pre-Algebra) A

Lesson 7: Coordinate Plane Essential Algebra Readiness(Pre-Algebra) A Unit 4: Real Numbers and the Coordinate Plane Has anyone done the Coordinate Plane Practice AND assessment? 1. Which point is located at (-3, -2)? (1 point)

asked by Ash on October 28, 2018
2. ### Math

1. How can you represent a loss of 24 dollars as an integer? (1 point) –42 –24 +24 2. How can you represent a baby growing 13 inches in a year as an integer? (1 point) –13 0 + +13 3. What is the integer at Point L? (1 point)

asked by Triston on May 18, 2017
3. ### Math

1. How can you represent a loss of 24 dollars as an integer? (1 point) –42 –24 1/24 +24 2. How can you represent a baby growing 13 inches in a year as an integer? (1 point) –13 0 +1/13 +13 3. What is the integer at Point L?

asked by Triston on May 18, 2017

Algebra! How is the distance formula and the pythagorean theroem similar? The distance formula follows from the pythagorean theorem. You have to apply it twice: If (x1, y1, z1) are the coordinates of a point 1 and (x2, y2, z2) are

asked by Alex on February 7, 2007
5. ### Math

Find all points having x-coordinate 9 and distance 10 from the point (3,-2). Would I use the distance formula here?

asked by Hannah on October 7, 2010
6. ### math

Find all the points having an x-coordinate of 9 whose distance from the point (3, -2) is 10. (9, 6), (9, -10) (9, 13), (9, -7) (9, -12), (9, 8) (9, 2), (9, -4)

asked by jack on May 18, 2011

find all points having an x-coordinate of 2 whose distance of the point (-1-2)is 5.

asked by Kristina on December 2, 2012
8. ### Algebra

find all points having an x-coordinate of 4 whose distance from the point (1,5) is 5

asked by Bri on August 24, 2014
9. ### 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
10. ### math

A,B are two points on a given line L.L is the midpoint of the section AB. find the coordinate of point B if the coordinate of A=7 and the coordinate of L=4

asked by Sabra on December 5, 2010
11. ### math

A,B,C are points on the line L, the coordinate of B=-2, c is a point that divides AB in the ration 2:3.if the coordinate of C=4, find the coordinate of A

asked by Sabra on December 5, 2010

More Similar Questions