MATH SOLVE

3 months ago

Q:
# Use the pythagorean theorem to find the distance between from A(5, -3) to B (6,0)A. 1.43B.2.18C. 3.16D.11.40 Please explain

Accepted Solution

A:

C. 3.16 is the right answerStep-by-step explanation:The distance formula used in coordinate geometry is derived from the Pythagorean theorem.The distance formula is give by:[tex]d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second pointHere,(x1,y1) = (5,-3)(x2,y2) = (6,0)Putting the values in the formula[tex]AB = \sqrt{(6-5)^2+(0-(-3))^2}\\=\sqrt{(1)^2+(0+3)^2}\\=\sqrt{(1)^2+(3)^2}\\=\sqrt{1+9}\\=\sqrt{10}\\=3.16\ units[/tex]The distance between two points is 3.16 units.Hence,C. 3.16 is the right answerKeywords: Coordinate geometry, Pythagorean TheoremLearn more about Pythagorean theorem at:brainly.com/question/10435816brainly.com/question/10435836#LearnwithBrainly