Question

What is the distance between (-5, -5) and (-9, -2)?
A. 5
B. 7
C. √12
D. √29

Answer 1

A

Step-by-step explanation:

calculate the distance ,d , using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

let (x₁, y₁ ) = (- 5, - 5 ) and (x₂, y₂ ) = (- 9, - 2 )

substitute these values into the formula for d

d =
`√((-9-(-5))^2+(-2-(-5))^2)`

=
`√((-9+5)^2+(-2+5)^2)`

=
`√((-4)^2+3^2)`

=
`√(16+9)`

=
`√(25)`

= 5

Answer 2

The distance between the points (-5, -5) and (-9, -2) is found using the distance formula, and the calculation reveals that the distance is 5 units, so the correct answer is option A.

Step-by-step explanation:

The question asks about the distance between two points in a coordinate plane, which is a Mathematics problem commonly encountered in High School geometry or algebra courses.

To find the distance between the points (-5, -5) and (-9, -2), you can use the distance formula, which is derived from the Pythagorean theorem.

The distance formula is √((x2-x1)² + (y2-y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.

So for the points (-5, -5) and (-9, -2), the calculation will be:

Distance = √((-9 - (-5))² + (-2 - (-5))²)
√((4)² + (3)²)
√(16 + 9)
√(25)
5

The distance between the points is 5, so the correct answer is A.