Find the distance between the coordinate points A(2, 14) and B(10, 3). Round your answer to the nearest tenth.
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we want to find the distance between A(2, 14) and B(10, 3).
x1 = 2, y1 = 14
x2 = 10, y2 = 3
Plugging these values into the distance formula:
d = sqrt((10 - 2)^2 + (3 - 14)^2)
= sqrt(8^2 + (-11)^2)
= sqrt(64 + 121)
= sqrt(185)
≈ 13.6
Therefore, the distance between A(2, 14) and B(10, 3) is approximately 13.6 units.
To find the distance between two points in a coordinate plane, we can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is:
d = sqrt((x₂ - x₁)² + (y₂ - y₁)²)
Let's label the given points as:
A(x₁, y₁) = A(2, 14)
B(x₂, y₂) = B(10, 3)
Substituting the values into the distance formula:
d = sqrt((10 - 2)² + (3 - 14)²)
Simplifying:
d = sqrt(8² + (-11)²)
d = sqrt(64 + 121)
d = sqrt(185)
To round the answer to the nearest tenth, we can use a calculator or a math tool. The square root of 185 is approximately 13.6.
Therefore, the distance between the points A(2, 14) and B(10, 3) is approximately 13.6 units.
To find the distance between two coordinate points, A(2, 14) and B(10, 3), we can use the distance formula.
The distance formula is given by:
Distance = √[(x2 - x1)² + (y2 - y1)²]
In this case, x1 = 2, y1 = 14, x2 = 10, and y2 = 3.
Plugging in the values, we get:
Distance = √[(10 - 2)² + (3 - 14)²]
= √[8² + (-11)²]
= √(64 + 121)
= √185
≈ 13.6
Therefore, the distance between the two points A(2, 14) and B(10, 3) is approximately 13.6 units when rounded to the nearest tenth.