Question

Very Quick Question! Will fan and medal!

Answer 1

P is a point on the x-axis 13 units from the point (-3,5). Find all the possible coordinates for P. SO the answers are (9,0) and (-15,0) but I got (10,0) and (-16,0)...

Answer 2

@AloneS @satellite73 @mathmate @Photon336 @ganeshie8 @zepdrix

Answer 3

@Jadeishere @sammixboo

Answer 4

\[(-3-x)^2+5^2=13^2\]would be one approach

Answer 5

@Jadeishere yeah that's what I got but it's not the answer.. @satellite73 hmm okay

Answer 6

you are looking for the distance between \((-3,5)\) and \((x,0)\) to be 13
usually easier to use the square of the distance to avoid the pesky root

Answer 7

using the square of the distance formula, your job is to solve \[(x+3)^2+5^2=13^2\]

Answer 8

you will in fact get the answers you were given

Answer 9

@satellite73 gotcha but Im confused how I'm off my one point? the root? what if I just counted sideways by 13 going left and right

Answer 10

no counting here

Answer 11

of you count 13 to the left, you get \[(10,5)\] not \((10,0)\)

Answer 12

or right, or whatever

Answer 13

Ill definitely consider the formula but ... why not draw a graph and point and move x left and right 13

Answer 14

yeah and you will not get to the x axis going directly left or right

Answer 15

if you go directly to the left or right, the second coordinate will remain 5

Answer 16

maybe I misunderstood the problem

Answer 17

hmm @satellite73 @sshayer thanks for the visual!

Answer 18

that is 13 units to the right, but it is not on the x axis
@sshayer has drawn a better picture, but you still cannot count
the fact that the answer is an integer is just a coincidence (cooked)

Answer 19

correction it is (-3,5) not (3,5)

Answer 20

thanks everyone! @satellite73 @sshayer

Answer 21

yw