Thursday

December 18, 2014

December 18, 2014

Posted by **Josh** on Wednesday, January 20, 2010 at 7:01pm.

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.

- Trig/Math -
**MathMate**, Wednesday, January 20, 2010 at 8:09pmGeometrically, 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

- Trig/Math -
**Josh**, Wednesday, January 20, 2010 at 10:27pmthank you!!

- Trig/Math :) -
**MathMate**, Thursday, January 21, 2010 at 12:11amYou're welcome.

Do give a check on the distance between the centre and the intersection points to complete the question.

**Answer this Question**

**Related Questions**

math - Find all the points having an x-coordinate of 9 whose distance from the ...

Advanced Math - find all points having an x-coordinate of 2 whose distance of ...

Algebra - find all points having an x-coordinate of 4 whose distance from the ...

Math - Find all points having x-coordinate 9 and distance 10 from the point (3,-...

????Math Question????8th grade adv.math - Algebra! How is the distance formula ...

algebra,math,help - Use Property 2 to simplify each of the following radical ...

Calculus - the curve: (x)(y^2)-(x^3)(y)=6 (dy/dx)=(3(x^2)y-(y^2))/(2xy-(x^3)) a...

math - Alright, let's say you want to get from one point to another, in a 3D box...

math - how would you simplify this equation: y = (x+3)/[(4-sqrt(16+h))] please ...

math - A,B are two points on a given line L.L is the midpoint of the section AB...