Find the distance between (2,3) and (-4,-9) round your answer to the nearest hundredth if necessary.
Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates (2,3) for (x1, y1) and (-4,-9) for (x2, y2), we have:
d = sqrt((-4 - 2)^2 + (-9 - 3)^2)
= sqrt((-6)^2 + (-12)^2)
= sqrt(36 + 144)
= sqrt(180)
Rounding to the nearest hundredth, we have:
d ≈ sqrt(180) ≈ 13.42
Therefore, the distance between (2,3) and (-4,-9) is approximately 13.42.
To find the distance between two points in a coordinate plane, you can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Let's plug in the coordinates (2,3) and (-4,-9) into the formula:
d = √((-4 - 2)² + (-9 - 3)²)
= √((-6)² + (-12)²)
= √(36 + 144)
= √180
≈ 13.42
Rounding to the nearest hundredth, the distance between (2,3) and (-4,-9) is approximately 13.42 units.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula is as follows:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where:
- (x1, y1) represents the coordinates of the first point
- (x2, y2) represents the coordinates of the second point
- d represents the distance between the two points.
Let's apply this formula to find the distance between the points (2,3) and (-4,-9).
x1 = 2, y1 = 3 (from the point (2,3))
x2 = -4, y2 = -9 (from the point (-4,-9))
Now, substitute these coordinates into the distance formula:
d = √((-4 - 2)^2 + (-9 - 3)^2)
= √((-6)^2 + (-12)^2)
= √(36 + 144)
= √180
Now, to round the answer to the nearest hundredth, we can use a calculator or simplify the square root.
The square root of 180 is approximately 13.42.
Therefore, the distance between the points (2,3) and (-4,-9) rounded to the nearest hundredth is 13.42 units.
Hey bot,
Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point)