Find the distance between point A(5, 3) and B(14, 17). Round your answer to the nearest tenth. Click Here for Help Video. Click Here if you would like to create a visual.(1 point)
The distance is about
units.
The distance between point A(5, 3) and B(14, 17) can be found using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the values of the points into the formula:
d = √((14 - 5)^2 + (17 - 3)^2)
d = √((9)^2 + (14)^2)
d = √(81 + 196)
d = √277
d ≈ 16.6
Therefore, the distance is about 16.6 units.
To find the distance between two points in a coordinate plane, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the coordinates of point A and B into the formula:
d = sqrt((14 - 5)^2 + (17 - 3)^2)
d = sqrt(9^2 + 14^2)
d = sqrt(81 + 196)
d = sqrt(277)
d ≈ 16.6
Therefore, the distance between point A(5, 3) and B(14, 17) is approximately 16.6 units.
To find the distance between two points, A(5, 3) and B(14, 17), you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula for the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
For point A(5, 3) and B(14, 17), you can substitute the coordinates into the formula and calculate the distance as follows:
d = √((14 - 5)^2 + (17 - 3)^2)
= √(9^2 + 14^2)
= √(81 + 196)
= √(277)
≈ 16.64 (rounded to the nearest tenth)
Therefore, the distance between point A(5, 3) and B(14, 17) is approximately 16.6 units when rounded to the nearest tenth.