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

Which of the following is a source of heat for magma formation? magma plumes in the continental crust friction due to divergence friction due to subd
Can someone check if I did this right since I really want to make sure it’s correct. If you do thank you so much
The diagram shows a fossil of an ancient whale skull and a skull of a present-day whale. The ancient whale is extinct and is believed to be an ancestor of the p
Assume that you have an array of integers named a. Which of these code segments print the same results? int i = 1; while(i < a.length) { System.out.prin
Marina baked cookies. She gave 3/4 of the cookies to the scout bake sale. She shared the remaining 6 cookies with her friends. how many cookies did marina bake?
A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone? Enter your answer in the box. ______ m³
Add the fractions and simplify 1/2+ 1/3
Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.
What do father Miguel Hidalgo and Simon Bolivar have in common?
NEED HELP WITH THESE!!