Find the distance between point C(−7, 5) and D(8, 16). Round your answer to the nearest tenth. Click Here for Help Video. Click Here if you would like to create a visual.(1 point)
The distance is about
units
Using the distance formula, the distance between point C(-7, 5) and D(8, 16) is:
Distance = √((8 - (-7))^2 + (16 - 5)^2)
= √((15)^2 + (11)^2)
= √(225 + 121)
= √346
≈ 18.6
Therefore, the distance is about 18.6 units.
To find the distance between two points in a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, point C has coordinates (-7, 5) and point D has coordinates (8, 16).
Plugging the values into the distance formula, we get:
d = sqrt((8 - (-7))^2 + (16 - 5)^2)
= sqrt(15^2 + 11^2)
= sqrt(225 + 121)
= sqrt(346)
≈ 18.6 units
Therefore, the distance between point C and D is approximately 18.6 units, rounded to the nearest tenth.
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the coordinates of point C (-7, 5) as (x1, y1) and the coordinates of point D (8, 16) as (x2, y2) into the formula:
d = √((8 - (-7))^2 + (16 - 5)^2)
= √((8 + 7)^2 + (16 - 5)^2)
= √((15)^2 + (11)^2)
= √(225 + 121)
= √346
≈ 18.6
Therefore, the distance between point C(−7, 5) and D(8, 16) is about 18.6 units (rounded to the nearest tenth).