Find the distance between point C (-7,5) and D (8,16) round to the nearest tenth.
To find the distance between two points in a coordinate plane, we can use the distance formula:
√((x2 - x1)² + (y2 - y1)²)
Let's label the coordinates:
C(x1, y1) = (-7,5)
D(x2, y2) = (8,16)
Plugging in the values, we get:
√((8 - (-7))² + (16 - 5)²)
= √((8 + 7)² + (16 - 5)²)
= √(15² + 11²)
= √(225 + 121)
= √346
≈ 18.6
Therefore, the distance between point C (-7,5) and D (8,16) rounded to the nearest tenth is approximately 18.6.
To find the distance between two points, you can use the distance formula:
√((x2 - x1)² + (y2 - y1)²)
Let's label point C as (x1, y1) and point D as (x2, y2).
x1 = -7
y1 = 5
x2 = 8
y2 = 16
Now we can substitute these values into the formula:
√((8 - (-7))² + (16 - 5)²)
Simplifying:
√((8 + 7)² + (16 - 5)²)
√(15² + 11²)
√(225 + 121)
√346
The distance between point C (-7, 5) and D (8, 16) is approximately 18.6 units when rounded to the nearest tenth.
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.
The formula is given as:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points, and d represents the distance between them.
Let's plug in the values for points C (-7,5) and D (8,16):
d = sqrt((8 - (-7))^2 + (16 - 5)^2)
= sqrt((8 + 7)^2 + (16 - 5)^2)
= sqrt(15^2 + 11^2)
= sqrt(225 + 121)
= sqrt(346)
Now, let's round the answer to the nearest tenth:
d ≈ 18.6
Therefore, the distance between point C (-7,5) and D (8,16) rounded to the nearest tenth is approximately 18.6 units.