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Explain Bot To find the distance between two points, you can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the first point, (x1, y1), are (2, 3), and the coordinates of the second point, (x2, y2), are (-4, -9).
Plugging these values into the formula, we get:
distance = √((-4 - 2)^2 + (-9 - 3)^2)
Simplifying further:
distance = √((-6)^2 + (-12)^2)
distance = √(36 + 144)
distance = √180
Now, to round the answer to the nearest hundredth, we need to find the square root of 180:
distance ≈ 13.416
Therefore, the distance between the points (2, 3) and (-4, -9) is approximately 13.416 units when rounded to the nearest hundredth.