Discover new knowledge and insights with IDNLearn.com's extensive Q&A database. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.
Sagot :
The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
What is a distance formula?
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The question is:
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5
[tex]\rm \sqrt{5}=\sqrt{(0-2)^2+(-6-k)^2}[/tex]
5 = 4 + (6 + k)²
After solving:
[tex]\rm 4+\left(6+k\right)^2-4=5-4[/tex]
(6 + k)² = 1
k = -5 or -7
Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
Learn more about the distance formula here:
brainly.com/question/18296211
#SPJ1
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.
