Question

PLEASE HELP GEOMETRY

Answer 1

The distance between any two points is the so-called distance formula which is an extension of the Pythagorean Theorem:

d^2=(x2-x1)^2+(y2-y1)^2, where (x1,y1) and (x2,x1) are two points.

In this case:

d^2=(3--6)^2+(5--6)^2

d^2=9^2+11^2

d^2=81+121

d^2=202

d=√202 units

d≈14.21 units (to the nearest hundredth of a unit)

Answer 2

The distance formula is sqrt((x1-x2)^2 + (y1-y2)^2), therefore (3-(-6))^2 = 9^2 and (5 -(-6))^2 = 11^2 so 121 + 81 = sqrt(202), this converted to decimal is ~14.21, so D.