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ahrayia [7]
3 years ago
5

What is the length of a line segment on the coordinate plane with end point (3,5) and (6,8) to the nearest tenth

Mathematics
2 answers:
sineoko [7]3 years ago
8 0

Answer:

4.24 units

Step-by-step explanation:

We can use the distance formula to solve this.

Distance formula: <em>d = √((x₁ - x₂)² + (y₁ - y₂)²)</em>, where (x₁, y₁) and (x₂, y₂) are the two coordinates.

Plug in: <em>d = √((3 - 6)² + (5 - 8)²)</em>

Subtract: d = √((-3)² + (-3)²))

Square: d = √(9 + 9)

Add: d = √18

Square root: d = 4.24264... ≈ 4.24 units

yan [13]3 years ago
4 0

Answer:

Step-by-step explanation:

Use the distance formula for coordinate geoemetry and the fact that x1 = 3, y1 = 5, x2 = 6 and y2 = 8 to fill in the formula:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

fills in accordingly:

d=\sqrt{(6-3)^2+(8-5)^2}

which simplifies a bit to

d=\sqrt{(3)^2+(3)^2}

which is

d=\sqrt{18}

The square root of 18 simplifies down to 3\sqrt{2}, which is 4.2426 in decimal form

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