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 effect did the capture of fort ticonderoga have on the fighting in boston
1/3x 1=1/6(2x 3) solve for x
What are some common types of hornets?
What is Desert Storm?
When it comes to cholesterol, it is better to have __________. A. more cholesterol B. more LDL C. a high ratio of LDL to HDL D. more HDL
y-3=-3y-43 solve the equation
Lainey is sliding down a water slide that is 440 feet long at a rate of 44 feet per second. How long will it take Lainey to travel from the top to the bottom of
A store had a number of chairs in stock at the beginning of the week. During the week, 66 chairs were sold, leaving the store with 15 chairs. How many chairs di
As explained in a quilt of a country how did the two world wars and the Cold War unite the people of the United States
what is 10.73 in word form