00:01
Hello there for this question.
00:03
They want us to find an equation of the sphere that passes through point five three negative five and it has a center of three.
00:22
Oh, okay.
00:22
Well, okay three eight and three so let's work on this so they bring us in the standard for this.
00:34
I mean standard form of the equation of a sphere.
00:40
So let me write down for this it's supposed to be p here.
00:44
Hold on for a sphere is x minus a square plus y minus b square plus c minus c.
01:03
Okay, or let's say said minus c square equals r square whereas for the center it's a b and c.
01:19
So that's our center and for our r is our radius.
01:26
So given the points so we're we're for our points that i wrote out up there that are our given points for x y & c is five three negative five and our center is three eight three we can work out the equation where our r is equal to the square root of x minus a square plus y minus b square plus said minus c square.
02:10
So yeah, i'm gonna be saying said just make it easier so now let's just plug it all in okay, so for our x we're gonna put in our five minus our three square plus ry which is our hold on.
02:34
Let me make sure i'm looking at right our three minus our eight square.
02:41
Okay...