The distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.
As per the question statement, two points having coordinates (4, -4) and
(9, -2) plotted on the cartesian plane.
We are required to calculate the distance between the above mentioned two points, rounded to the nearest tenth.
To solve this question, we need to know the Distance-formula which goes as,
"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by √[(x₂ - x₁)² + (y₂ - y₁)²]"
Assuming that [(x₁, y₁) = (4, -4)] and [(x₂, y₂) = (9, -2)], and substituting these values in the above-mentioned distance formula, we get,
√[(9 - 4)² + {(-2) - (-4)}²]
= √[(9 - 4)² + {(-2) + 4}²]
= √[(9 - 4)² + (4 - 2)²]
=√[(5)² + (2)²]
=√(25 + 4)
=√29
= 5.38 units.
Therefore, rounding (5.38) to the nearest tenth, we get, 5.40.
That is, the distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.
- Distance: In Mathematics, physics or daily life, distance is a numerical or occasionally qualitative measurement of how far objects or points are from each other.
- Coordinates: In geometry, coordinates are a pair of numbers that can uniquely determine the position of points or other geometric elements on a Euclidean or Cartesian Plane.
To learn more about Distances and Coordinates, click on the link below.
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