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

A midwestern music competition awarded 35 ribbons. The number of blue ribbons awarded was 3 less than the number of white ribbons. the number of red ribbons was
How can i solve this f:d->R f(x)=x at power2/x-1
If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=
How do you say little sister, little brother, older sister, and older brother in Korean? I hope someone who actually know Korean can answer this question.
If y^8= 4 and y^7=3/x, what is the value of y in terms of x?
Which of the following are examples of trisomy? Turner Syndrome, Down's syndrome, or Klinefelter's Syndrome
A boy can swim 75 feet in 12 seconds. What is his rate to the nearest mile per hour?
A midwestern music competition awarded 35 ribbons. The number of blue ribbons awarded was 3 less than the number of white ribbons. the number of red ribbons was
Which of the following are examples of trisomy? Turner Syndrome, Down's syndrome, or Klinefelter's Syndrome
how do you figure out what is 1/4 of 10.