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

B.4.47

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)  }`

`√(20)`

`√(20)=4.47`