Question

What is the distance between (4,0) and (-6,1)

Answer 1

Answer:

$d = \sqrt{(101)}$

Step-by-step explanation:

The two points A(4,0) and B(-6,1) lie on a plane and form a line. Thus, to calculate distance between two points, we can use the distance formula of line.

The distance formula for points $(x_1,x_2)$ and $(y_1,y_2)$ is given as follows:

$d = \sqrt{(x_{2}- x_{1})^2 + {(y_{2}- y_{1})^2}$.

According to the question:

$(x_1) = 4$

$(y_1) = 0$

$(x_2) = -6$

$(y_2) = 1$.

Substituting the values of terms into the equation we get:

$d = \sqrt{(-6- 4)^2 + {(1-0 )^2}$

$d = \sqrt{(-10)^2 + {(1)^2}$

$d = \sqrt{(100 + 1)}$

$d = \sqrt{(101)}$ which is the required answer

Answer 2

Answer:

1/10

Step-by-step explanation:

the dot is 10 over 1 down