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

briefly describe the five stages of the cell cycle
Why is man a special creature? What two worlds does he share in?
while your finger is still pushing the coin, there are four forces acting on the coin: what are they?
Stem-and-Leaf Plots question: How many swimmers were younger then 30 Stem -- Leaf 0 1-- 1 2-- 3,9 3 --
How do u do this problem: W/6+5/8=-1 3/8 I got this answer: -1 53/64
results of 1+2+3+....+99+100+99+...+3+2+1 is.....
Susan invests twice as much money at 7.5% as she does at 6%. If her total interest after a year is $840 how much does she have invested at each rate?
Ho long does it take for the Moon to show all its faces? Thank you❤
how many hundredths are in 0.5
how do i persuade students to enter the school talent show? i have to write it as an article in the school magazine.