Question

What is the distance between the points (-1, 5) and (3, 7)? Round your answer to the nearest hundredth. A. 3.46 B. 4.47 C. 10.77 D. 12.65

Answer 1

Answer:

B.4.47

Step-by-step explanation:

The equation to calculate the distance between two points is

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

here

$(x_{1},y_{1})=(-1,5)\\(x_{2},y_{2})=(3,7)$

substituting the values

$\sqrt{(-1-3)^{2}+(5-7)^{2}  }$

$\sqrt{(-4)^{2}+(-2)^{2}  }$

$\sqrt{20}$

$\sqrt{20}=4.47$