Question

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

Answer 1

Answer:

D(distance)= $\sqrt{29}$ or 5.3852, approximately.

Step-by-step explanation:

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

1. Name the variables.

Let -1 be $x_{1}$. Therefore, 4 will be $y_{1}$.

Let 1 be $x_{2}$. Therefore, -1 will be $y_{2}$.

2. Substitute the values in the formula and calculate.

$d=\sqrt{((1) -(-1) )^{2}+((-1) -(4) )^{2} } \\ \\d=\sqrt{(1+1 )^{2}+(-1-4 )^{2} }\\ \\d=\sqrt{(2 )^{2}+(-5 )^{2} }\\ \\d=\sqrt{4+25 }\\ \\d=\sqrt{29}$

3. Express the result.

D(distance)= $\sqrt{29}$ or 5.3852, approximately.

Answer 2

Here
X1=-1, y1=4
X2=1, y2=-1

We have d=under root (x2-x1)sq+y2-y1)sq
=(1-(-1)sq + (-1-4)
=2sq+-5sq
=4+25
=29ans