Question

Find the distance between the two points rounding to the nearest tenth (3, 1) and (5,2)

Answer 1

The distance between the two points (3, 1) and (5, 2), rounded to the nearest tenth, is approximately 2.2 units.

Step-by-step explanation:

To find the distance between two points in a coordinate plane, we can use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

In this case, the coordinates of the two points are (3, 1) and (5, 2). Let's assign these values to the variables: x₁ = 3, y₁ = 1, x₂ = 5, and y₂ = 2.

Substitute these values into the distance formula:

d = √(5 - 3)² + (2 - 1)²

Simplify each term:

d = √2² + 1²

d = √4 + 1

d = √5

To round to the nearest tenth, we can evaluate √5 to one decimal place, yielding approximately 2.2 units.

Therefore, the distance between the points (3, 1) and (5, 2) is approximately 2.2 units, rounded to the nearest tenth.

Answer 2

The distance between the points (3, 1) and (5,2) is approximately 2.2 units, calculated using the distance formula and rounding to the nearest tenth.

Step-by-step explanation:

To find the distance between two points (3, 1) and (5,2), we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is √((x2-x1)²+(y2-y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the given points into the formula gives us √((5-3)²+(2-1)²) = √(2²+1²) = √(4+1) = √5. The exact value of √5 is about 2.236. To round to the nearest tenth, we get approximately 2.2 units. Therefore, the distance between the two points is about 2.2 units.