find the distance between two points (3 -9) (-2 3)
Answers
Step-by-step explanation:
You know that the distance AB between two points in a plane with Cartesian coordinates A(x1,y1) and B(x2,y2) is given by the following formula:
AB=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
In three-dimensional Cartesian space, points have three coordinates each. To find the distance between A(x1,y1,z1) and B(x2,y2,z2) , use the formula:
AB=(x2−x1)2+(y2−y1)2+(z2−z1)2−−−−−−−−−−−−−−−−−−−−−−−−−−−−√
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Step-by-step explanation:
using distance formula:-
distance=√{(x2-x1)^2+(y2-y1)^2}
=√{(-2-3)^2+(3-(-9))^2}
=√{(-5)^2+(3+9)^2}
=√{25+(12)^2}
=√{25+144}
=√169
=13 units.