Find the distance between point A(5, 3) and B(14, 17). Round your answer to the nearest tenth. the distance between point a and point b is?
To find the distance between points A(5, 3) and B(14, 17), we can use the distance formula.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the points A and B into the formula, we get:
d = sqrt((14 - 5)^2 + (17 - 3)^2)
Simplifying this equation, we have:
d = sqrt(9^2 + 14^2)
d = sqrt(81 + 196)
d = sqrt(277)
Using a calculator, we find that sqrt(277) is approximately 16.6.
Therefore, rounded to the nearest tenth, the distance between point A(5, 3) and point B(14, 17) is approximately 16.6.
To find the distance between two points, you can use the distance formula. The distance formula is as follows:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Using the coordinates of point A(5, 3) and point B(14, 17), we can calculate the distance as follows:
Distance = √[(14 - 5)^2 + (17 - 3)^2]
Distance = √[9^2 + 14^2]
Distance = √[81 + 196]
Distance = √277
Distance ≈ 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 in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance formula is as follows:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given point A(5, 3) as (x1, y1) and point B(14, 17) as (x2, y2), we can substitute the values into the distance formula:
distance = √((14 - 5)^2 + (17 - 3)^2)
Simplifying this equation:
distance = √((9)^2 + (14)^2)
distance = √(81 + 196)
distance = √277
Now, to round the answer to the nearest tenth, we can use a calculator or the decimal approximation of √277, which is approximately 16.643.
So, the distance between point A(5, 3) and point B(14, 17) is approximately 16.6 units (rounded to the nearest tenth).