Question

the distance between M(-1,5) and N(x,5) is 8 units. the value of x is​

Answer 1

Answer:

-1,5-x,5=8.

-1,x=8.

x=8+1

x=9

Answer 2

Step-by-step explanation:

MN =

$\sqrt{ {(x + 1)}^{2} + {(5 - 5)}^{2} } = \: 5$

$\sqrt{ {x}^{2} + 1 + 2x + 0} = 8$

SQUARING ON BOTH SIDES

${x}^{2} + 2x + 1 = 64$

${x}^{2} + 2x - 63 = 0$

${x}^{2} + 9x - 7x - 63 = 0$

$x(x + 9) - 7(x + 9) = 0$

$(x - 7)(x + 9) = 0$

$x = 7 \: and \: (-9)(rejected)$