Question 44973
Use Distance Formula: {{{d = sqrt((x2 - x1)^2 + (y2 - y1)^2)}}}
(4,7),(a,3); d = 5
{{{d = sqrt((x2 - x1)^2 + (y2 - y1)^2)}}}
{{{5 = sqrt((4 - a)^2 + (7 - 3)^2)}}}
{{{25 = (4 - a)^2 + 16}}}
{{{9 = (4 - a)^2}}}
{{{3 = 4 - a}}} or {{{-3 = 4 - a}}}
{{{-1 = -a}}} or {{{-7 = -a}}}
{{{-1 = -a}}} or {{{-7 = -a}}}
{{{1 = a}}} or {{{7 = a}}}
(1,3) or (7,3)
(5,a), (6,1); d = square root of 10
{{{d = sqrt((x2 - x1)^2 + (y2 - y1)^2)}}}
{{{sqrt(10) = sqrt((6 - 5)^2 + (1 - a)^2)}}}
{{{9 = (1 - a)^2}}}
{{{3 = 1 - a}}} and {{{-3 = 1 - a}}}
{{{2 = -a}}} and {{{-4 = -a}}}
{{{-2 = a}}} and {{{4 = a}}}
(6,-3),(-3,a); d = square root of 130
{{{d = sqrt((x2 - x1)^2 + (y2 - y1)^2)}}}
{{{sqrt(130) = sqrt((-3 - 6)^2 + (a + 3)^2)}}}
{{{49 = (a + 3)^2}}}
{{{7 = a + 3}}} and {{{-7 = a + 3}}}
{{{4 = a}}} and {{{-10 = a}}}
{{{ graph( 600, 600, -10, 10, -10, 10, a) }}}