Find the distance between point C(−7, 5) and D(8, 16). Round your answer to the nearest tenth.
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
In this case, the coordinates of C are (-7, 5) and the coordinates of D are (8, 16). Substituting these values into the distance formula, we get:
Distance = √[(8 - (-7))² + (16 - 5)²]
Distance = √[15² + 11²]
Distance = √[225 + 121]
Distance = √346
Rounding this value to the nearest tenth, we get:
Distance ≈ 18.6
Therefore, the distance between point C(-7, 5) and D(8, 16) is approximately 18.6.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's calculate the distance between C(-7, 5) and D(8, 16):
d = √((8 - (-7))^2 + (16 - 5)^2)
= √((15)^2 + (11)^2)
= √(225 + 121)
= √346
≈ 18.6 (rounded to the nearest tenth)
Therefore, the distance between C(-7, 5) and D(8, 16) is approximately 18.6 units.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The distance formula between two points (x1, y1) and (x2, y2) is given by:
distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, point C is represented by (-7, 5) and point D is represented by (8, 16).
Let's plug these values into the distance formula:
distance = √[(8 - (-7))^2 + (16 - 5)^2]
Simplifying further:
distance = √[(8 + 7)^2 + (16 - 5)^2]
distance = √[15^2 + 11^2]
distance = √[225 + 121]
distance = √346
Rounding the answer to the nearest tenth, we get:
distance ≈ 18.6
Therefore, the distance between point C(-7, 5) and D(8, 16) is approximately 18.6 units.