What is the distance from the origin to the point (14,11)?
(0 , 0) , (14 , 11).
d^2 = (14 - 0)^2 + (11 - 0)^2,
d^2 = 196 + 121 = 317,
d = 17.8.
Well, if the origin is feeling generous today, it will tell us that the distance from it to the point (14,11) is simply the square root of a^2 + b^2, where a and b are the coordinates of the point. So let's put our math hats on and calculate it. We have √(14^2 + 11^2). I'll give you a moment to carry the numbers, or you can just trust me that it's approximately 18.439. Looks like that's the distance to catch the next train departing from the origin! Hop on board!
To find the distance between two points in a two-dimensional coordinate system, you can use the distance formula. The distance between the origin (0,0) and the point (14,11) can be calculated as follows:
Step 1: Calculate the difference in the x-coordinates:
Difference in x-coordinates = 14 - 0 = 14
Step 2: Calculate the difference in the y-coordinates:
Difference in y-coordinates = 11 - 0 = 11
Step 3: Square the differences:
Squared x-coordinate difference = (14 - 0)^2 = 196
Squared y-coordinate difference = (11 - 0)^2 = 121
Step 4: Add the squared differences:
(196 + 121) = 317
Step 5: Take the square root of the sum:
Square root of 317 ≈ 17.8
Therefore, the distance from the origin to the point (14,11) is approximately 17.8 units.
To find the distance from the origin (0,0) to any point (x,y), we use the distance formula, which is derived from the Pythagorean theorem. The formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the origin is (0,0) and the point is (14,11). Plugging these values into the distance formula, we get:
distance = √((14 - 0)^2 + (11 - 0)^2)
Simplifying further:
distance = √(14^2 + 11^2)
Calculating the squares:
distance = √(196 + 121)
Adding the numbers inside the square root:
distance = √317
Finally, calculating the square root:
distance ≈ 17.80
Therefore, the distance from the origin to the point (14,11) is approximately 17.80 units.