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anonymous
 4 years ago
find an equation of the sphere with center (2,6,4) and radius 5. Describe its intersection with each of the coordinates planes.
anonymous
 4 years ago
find an equation of the sphere with center (2,6,4) and radius 5. Describe its intersection with each of the coordinates planes.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so i know how to do the equation, but how do i do the intersection?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[(x2)^2 + (y+6)^2 + (z4)^2 = 25\]

Hero
 4 years ago
Best ResponseYou've already chosen the best response.0What course are you taking?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the description of the intersection is an equation of a circle i believe based on the example prior to this problem

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1327252360580:dw

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1you know the distance you are from the plane; you know the Radius of the sphere, so we can calculate the radius of the circle in the plane

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1the plane you pick is just dropping that variable from the picture to get your center in that plane: (1,2,3) centers in nox plane at (2,3) the noy plane at (1,3) and the noz plane at (1,2)

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1the distance away from the plane is the one that you dropped :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay so the xy plane would be (x2)^2 + *y+6)^2 = 9

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The sphere does not intersect the y=0 coordinate plane.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait it would be = 16?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1(2,6,4) and radius 5 xy: noz: center at (2,6) with a distance of 4 radius in noz = sqrt(5^24^2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so what would be the equation for yz?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.0How do I unsubscribe from this?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1yz: nox plane; centers on (y,z) with a radius of: sqrt(5^2  x^2)

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1and r^2 = 21 then in your equation of circle stuff

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but how would i do xz?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1well, it centers in the noy so (x,z); its radius is then sqrt(5^2y^2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but its a negative number

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1it is isnt it :) tell me; if your stretching to reach 5 and your 6 away, do you hit it?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1327252967020:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh so it never intersects?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1its negative meaning there is no real radius in that plane so we aint even touching it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so there wouldn't be an equation for xz

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1correct; the xz plane has no intersection with the sphere

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0awesome! thank you so much!
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