Answer:
(B) [tex]CT=\sqrt{85}[/tex]
Step-by-step explanation:
Given: Two points [tex]C(0,4)[/tex] and [tex]T(-6,-3)[/tex].
To find: The distance between the given points [tex]C(0,4)[/tex] and [tex]T(-6,-3)[/tex].
Solution: It is given taht the two points are [tex]C(0,4)[/tex] and [tex]T(-6,-3)[/tex], we have to find the distance between these two points, thus using teh distance formula, we have:
[tex]CT=\sqrt{(-6-0)^2+(-3-4)^2}[/tex]
⇒[tex]CT=\sqrt{36+49}[/tex]
⇒[tex]CT=\sqrt{85}[/tex]
which is the required distance between the two given points.
Therefore, option B is correct.
