The distance between the points P(1,3) and Q(x,7) is 5 units. Find the possible values of x.

x = - 2 , x = 4

Step-by-step explanation:

Calculate the distance PQ using the distance formula and equate to 5

d =

with (x₁, y₁ ) = P (1, 3) and (x₂, y₂ ) = Q (x, 7 )

PQ = = = , then

= 5 ( square both sides )

(x - 1)² + 16 = 25 ( subtract 16 from both sides )

(x - 1)² = 9 ( take square root of both sides )

x - 1 = ± = ± 3 ( add 1 to both sides )

x = 1 ± 3

Then

x = 1 - 3 = - 2 , or

x = 1 + 3 = 4

definition: a circle is the  set of all points in a plane that are equidistant  from a given  point  called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to  any point  on the circle is a radius of the circle.

step-by-step explanation:

i googled it and this is what i got i don't know how it is. sorry.

step-by-step explanation: