find the distance between (2,3) and (-4, -9)
To find the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (2,3) and (-4, -9), we can substitute the values into the formula:
Distance = √((-4 - 2)^2 + (-9 - 3)^2)
= √((-6)^2 + (-12)^2)
= √(36 + 144)
= √180
≈ 13.416
Therefore, the distance between (2,3) and (-4, -9) is approximately 13.416.
find the distance between (-8,-3) and (-5, -2)
To find the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (-8, -3) and (-5, -2), we can substitute the values into the formula:
Distance = √((-5 - (-8))^2 + (-2 - (-3))^2)
= √((3)^2 + (1)^2)
= √(9 + 1)
= √10
≈ 3.162
Therefore, the distance between (-8, -3) and (-5, -2) is approximately 3.162.
find the distance between (-8,-3) and (-2, -5)
Using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given points (-8, -3) and (-2, -5):
Distance = √((-2 - (-8))^2 + (-5 - (-3))^2)
= √((6)^2 + (-2)^2)
= √(36 + 4)
= √40
≈ 6.325
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.325.
To find the distance between two points in a Cartesian coordinate system, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula to find the distance between two points, (x₁, y₁) and (x₂, y₂), is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's calculate the distance between (2, 3) and (-4, -9) using this formula:
First, substitute the coordinates into the formula:
d = √((-4 - 2)² + (-9 - 3)²)
Simplify the expression inside the square root:
d = √((-6)² + (-12)²)
d = √(36 + 144)
d = √(180)
Since 180 does not have a perfect square root, we can simplify it further by breaking it down into perfect squares:
d = √(36 * 5)
d = √36 * √5
d = 6√5
Therefore, the distance between (2, 3) and (-4, -9) is 6√5 units.