Question

What is the distance between A and B? Round your answer to the nearest hundredth. A coordinate plane is shown. Point A is located at negative 2, 4, and point B is located at 2, 0. A line segment connects the two points. 4.56 5.35 5.66 6.10 i just want the answer please

Answer 1

we know that

the formula to calculate the distance between two points is equal to

In this problem we have

substitute in the formula

Round to the nearest hundredth

therefore

the answer is

the distance is equal to

Answer 2

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

In this problem we have

`A(x1,y1)=(-2,4)\\B(x2,y2)=(2,0)`

substitute in the formula

`d=\sqrt{(0-4)^(2)+(2+2)^(2)}`

`d=\sqrt{(-4)^(2)+(4)^(2)}`

`d=√(32)\ units`

Round to the nearest hundredth

`d=√(32)\ units=5.66\ units`

therefore

the answer is

the distance is equal to
`5.66\ units`