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- Thread starter yourmom98
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*In

Yes. If we draw a line between any two given points, the locus of points equidistant from those two given points will lie on a unique perpendicular bisector that intersects exactly between the two points on the line (i.e., intersects at a point belonging to the line equidistant from the two given points). (In

*In space (

Yes. If we draw a line between any two given points, the locus of points equidistant from those two given points will lie on a unique plane containing every perpendicular bisector of this line that intersects at a point belonging to the line equidistant from the two given points.

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thanks i am asked to draw a diagram that represent the locus in each of the following situations also i am asked "what is the locus of each?"

a) Going down on a elevator

b)sitting in a seat on a ferris wheel as it rotates

c)all the points that are 2cm from a parabola

d)all the point that are 5 cm above a line

a) the diagram would be a vertical line

b) the diagram would be a sinusoidal function

c) a parabola

d) horizontal line

are these correct and what does it mean "what is the locus of each?" am i supposed to give an**equation**?

EDIT: also how would i find the equation of this

locus where point such that the sum of whoose distances from (0,-2) and (0,2) is 8 cause. well its not that i CANT find the equation its just that i have to draw and ellipse to figure it out i wonder if there is an more accuate way? so far my answer is 16=x^2+y^2 is this rite?

a) Going down on a elevator

b)sitting in a seat on a ferris wheel as it rotates

c)all the points that are 2cm from a parabola

d)all the point that are 5 cm above a line

a) the diagram would be a vertical line

b) the diagram would be a sinusoidal function

c) a parabola

d) horizontal line

are these correct and what does it mean "what is the locus of each?" am i supposed to give an

EDIT: also how would i find the equation of this

locus where point such that the sum of whoose distances from (0,-2) and (0,2) is 8 cause. well its not that i CANT find the equation its just that i have to draw and ellipse to figure it out i wonder if there is an more accuate way? so far my answer is 16=x^2+y^2 is this rite?

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- #4

EnumaElish

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If the answer to (a) is a vertical line why isn't the answer to (b) a circle?yourmom98 said:a) the diagram would be a vertical line

b) the diagram would be a sinusoidal function

Two parabolas (in 2D)? A cylinder (in 3D)?c) a parabola

I guess you meant a parallel line.d) horizontal line

You can only give an equation if you have an equation to begin with. If the question didn't give you an equation, do you really want to be the one who starts it?am i supposed to give anequation?

Lethow would i find the equation of this locus where point such that the sum of whoose distances from (0,-2) and (0,2) is 8 cause. well its not that i CANT find the equation its just that i have to draw and ellipse to figure it out i wonder if there is an more accuate way? so far my answer is 16=x^2+y^2 is this rite?

P.S. Function d is symmetric: d(

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