Register
The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.
93.7k views
5 votes
The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.

User Jason Kincl
by
3.0k points

1 Answer

3 votes
d =√(x2-x1)^2 + (y2-y1)^2
......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2

25 = 9 + (k-1)^2

16 = k^2 - 2k + 1

k^2 -2k - 15 = 0

(k - 5)(k + 3) = 0

k - 5 = 0.....or.......(k + 3) = 0

k = 5.........or.......k = -3
User Exshovelrydr
by
3.2k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

3.4m questions

4.3m answers

Other Questions

A study was completed in Florida. In southern Florida, the study involved 3,000 patients; 54% of them experienced flulike symptoms during the same month. The study had a margin of error of 1.8%. What does
Can someone help me plz I have to Turn 27/9 in simplest
The sanchez family goes out for dinner, and the price of the meals is $60. The sales tax on the Meals is 7 percent, and they also want to leave a 15 percent tip. What is the total cost of the meal? Analyze
A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found: 189 watched TV 163 hung out with friends 29 watched TV and ate pizza, but did
At the beginning of a population study, a city had 240,000 people. Each year since, the population has grown by 9.7%. Lett be the number of years since start of the study. Let y be the city's population.
Link Copied!