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 does a concrete noun mean?
1.1.11 Advise SM on the negative impact of the socio economic issues identified in QUESTION 1.1.10 (6 )​
What factors affect the flow of currents
help me┐(´ー`)┌thank you in advance ​
Which equation can be used to find the measure of angle LKJ? cos−1(StartFraction 8. 9 Over 10. 9 EndFraction) = x cos−1(StartFraction 10. 9 Over 8. 9 EndFractio
Which function has the following domain and range? Domain: {-5, - 3,0, 3, 11} Range: { - 4,0, 2}
Solve. 4. Find the value of x in the diagram at the right.
A company with a high ratio of fixed costs ______.
Evaluate the following expression. 4 – (3 – 2)(exponent 2
Select all expressions that are equivalent to 5n-30 n+n+n+n+n−30 5n + (-30) 5n-30n (n-6) x 5 5 (n-30)