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

Suppose the circumference of a circle is 2pi what is its area?
Which statement about the transatlantic slave trade from Africa to the New World is correct? A. Slaves in the European colonies of South America had the highest
In Act I of Macbeth, whom does Duncan name as his successor? a. Banquo b. Donalbain c. Macbeth d. Malcolm
Being a good listener helps during conflict with women only. a. True b. False
show steps for 8 1/4 -7 3/4 =
The exterior walls of the regular pentagon shaped courthouse must be painted. Each wall of the courthouse is 80ft by 18ft. Calculations of Volume and Surface Ar
Identify the complete subject and the complete predicate in the following sentence. The workmen repaired the damaged building.
45 more than the product of 3 and a number y is 95
which capital letter appears to have parallel lines
Buddhism spread quickly because of _____.