Question

If the distance between the points A(4, k) and B(1,0) is 5 units, then k equals​

Answer 1

Step-by-step explanation:

The formula for the given problem is

$\sqrt{ {(a1 - a2) }^{2} + ({b1 - b2)}^{2} }$

where (a1,b1) and (a2,b2) are the points on the coordinate plane.

Answer 2

Answer:

±4

Step-by-step explanation:

the distance between two points=√(x₂-x₁)²+(y₂-y₁)²

here,

x₁,y₁=4,k

x₂,y₂=1,0

now,

⇒√(1-4)²+(0-k)²=5

⇒√(-3)²+(-k)²=5

⇒√9+k²=5

squaring on both sides;

9+k²=25

k²=16

k=±4