The distance fomr (-1,7) to (-5,-4) is?

Question

Use the sqrt funtion to include square roots in your answer.

For example, to express square 11, type: sqrt(11)

Answer 1

Distance formula

d = √(x₂- x₁)² + (y₂- y₁)²

d = √[- 5 - (- 1)] + (- 4 - 7)

d = √(- 5 + 1)² + (- 11)²

d = √(- 4)² + (- 11)²

d = √16 + 121

d = √137

- - - - - - - -s-

Answer 2

Well, you seem to have 2 right answers already, so I'll just call attention to the formula for finding distance between 2 given points:

sqrt [(diff between the x's)^2 + (diff between the y's)^2]

When you compute the parentheses quantities it doesn't matter (for the first parentheses for example) whether you take (-1 - [-5]) OR (-5 - [-1]) to be squared. Just be sure you get the x's and do a subtraction before squaring. Similarly, for the second parentheses just be sure you get the y's and do a subtraction before squaring.

(This fact derives from the fact that [a-b]^2 = [b-a]^2. )

Answer 3

distance=sqrt( (-5-(-1))^2 + (-4-7)^2 )
=sqrt( (-4)^2 + (-11)^2 )
=sqrt( 16+121 )
=sqrt( 137 )

Answer 4

D = √[(x - x')² + (y - y')²]
D = √{[-1 - (-5)]² + [7 - (-4)]²}
D = √[(-1 + 5)² + (7 + 4)²]
D = √[(4)² + (11)²]
D = √(16 + 121)
D = √137
D ~ 11.705

Answer 5

sqrt( (-5-(-1))^2 + (-4-7)^2 )
sqrt( (-4)^2 + (-11)^2 )
sqrt( 16+121 )=
sqrt( 137 )