Question

Find the distance between the two points shown in the coordinate plane below to the nearest hundredth.

Question 16 options:

61.0


7.23


7.81


8.02

Answer 1

7.81

Explanation:

= √(5^2 + 6^2)

= √(25 + 36)

= √61

= 7.81

Answer 2

7.81

Explanation:

we have the points: (-2, -2) and (3, 4)

where i will call
`x_(1)=-2, y_(1)=-2,x_(2)=3,y_(2)=4`

We can find the distance using the Pythagorean theorem, considering that the distance in x between the points is:
`d_(x)=`
`x_(2)-x_(1)=3-(-2)=3+2=5`

and the distance in y between the points is:
`d_(y)=`
`y_(2)-y_(1)=4-(-2)=4+2=6`

and using the Pythagorean theorem

`d=\sqrt{d_(x)^2 +d_(y)^2}`

`d=√(5^2+6^2)=√(25+36)=√(61) =7.81`

the distance between the two points ia 7.81