brookie46 brookie46
  • 03-04-2018
  • Mathematics
contestada

The distance between the two points (4,2) and (8,k) is 5 units. Find value(s)of k

Respuesta :

jcherry99
jcherry99 jcherry99
  • 03-04-2018
d^2 = (x2 - x1)^2 + (y2 - y1)^2
d^2 = (8 - 4)^2 + (k - 2)^2
d = 5 so
5^2 = 4^2 + k^2 - 4k + 4
25 = 16 + k^2 - 4k + 4
25 = 20 + k^2 - 4k
0 = k^2 - 4k - 5
0 = (k - 5)(k + 1)
k has 2 answers
k - 5 = 0
k = 5
k + 1 = 0
k = - 1

The two answers are
(8, 5) and (8, -1) <<<< answer
Answer Link

Otras preguntas

What energy transformations take place before digestion
English essay Is my text goood? grammmar spelling too ???? The Earth Needs Water! The Earth has many life-threatening problems caused by humans. One of these
Round 8.61 to the nearest tenth.
Why do the Mexican put petals on the ground?
Why does a compass needle point North?
5*9 (sqrt 10)^3= Help please
Some properties, such as mass, depend on how much matter is present. Other properties, such as malleability, remain the same no matter how much matter is presen
An object is thrown upward at a speed of 121 feet per second by a machine from a height of 8 feet off the ground. The height h of the object after t seconds can
who is elected in the federal assembly?
How did Shang priests communicate with the gods? A. They burned incense and watched the smoke for signs from the gods. B. They offered animal sacrifices and the