Find the distance between point A(5, 3) and B(14, 17). Round your answer to the nearest tenth
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Given that A(5, 3) and B(14, 17), we can substitute these values into the distance formula:
d = sqrt((14 - 5)^2 + (17 - 3)^2)
Simplifying:
d = sqrt(9^2 + 14^2)
d = sqrt(81 + 196)
d = sqrt(277)
Using a calculator, we find that the square root of 277 is approximately 16.6
Therefore, the distance between point A(5, 3) and B(14, 17) is approximately 16.6 units when rounded to the nearest tenth.
To find the distance between two points (x1, y1) and (x2, y2), we can use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Given that point A is (5, 3) and point B is (14, 17), we can substitute the coordinates into the formula:
Distance = √[(14 - 5)^2 + (17 - 3)^2]
Distance = √[(9)^2 + (14)^2]
Distance = √[81 + 196]
Distance = √[277]
Distance ≈ 16.6 (rounded to the nearest tenth)
Therefore, the distance between point A(5, 3) and B(14, 17) is approximately 16.6 units.
To find the distance between two points (x1, y1) and (x2, y2) on a Cartesian plane, you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to find the distance between point A(5, 3) and B(14, 17):
Using the formula:
Distance = √((14 - 5)^2 + (17 - 3)^2)
= √(9^2 + 14^2)
= √(81 + 196)
= √277
Now, let's round this to the nearest tenth:
Distance ≈ √277 ≈ 16.6 (rounded to the nearest tenth)
Therefore, the distance between point A(5, 3) and B(14, 17) is approximately 16.6 units.