Answer:
d=13
Step-by-step explanation:
Calculate the distance between 2 points in 2 dimensional space.
Enter 2 sets of coordinates in the x y-plane of the 2 dimensional Cartesian coordinate system, (X1, Y1) and (X2, Y2), to get the distance formula calculation for the 2 points and calculate distance between the 2 points.
Accepts positive or negative integers and decimals. (6 and/or 6.5)
Distance Formula:
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:
d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Calculate Distance
To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:
d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√
combining terms inside parentheses we get:
d=(−12)2+(5)2−−−−−−−−−−−√
squaring both terms we get,
d=144+25−−−−−−−√
adding the 2 results,
d=169−−−√
finally,
d=13
