Ilyaan M.

asked • 04/29/18# find the number of points on x-axis which are at a distance of 2 units from (2,4)

find the number of points on x-axis which are at a distance of 2 units from (2,4). i want the step by step process

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## 3 Answers By Expert Tutors

Arturo O. answered • 04/30/18

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(66)
Experienced Physics Teacher for Physics Tutoring

0.

There are no such points. A distance between point (2, 4) and any point on x-axis is at least 4 units. (2, 4) is 4 unit far from the closest point on x-axis, (2,0).

Andy C. answered • 04/30/18

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(27)
Math/Physics Tutor

(2,4) is 4 units away from the x-axis.

**There are no points on the x-axis that are 2 units away from (2,4).**The closest is (2,0)

You can have a circle with radius 2 and centered at (2,4).

That will give you ALL of the points that are exactly 2 units away from (2,4)

The equation of this circle is (x-2)^2 + (y-4)^2 = 4

Now you can generate an unlimited number of points that are

exactly 2 units away from (2,4) by selecting a value for x or y

and then solving.

For example, if x=0 then y=4, so (0,4) is exactly 2 units away from (2,4)

if y=0, then (x-2)^2 + 16 = 4

(x-2)^2 = -12

So the circle does not intersect the x axis, as described in the opening statement

in bold above

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Arturo O.

04/30/18