Question

find the distance between a and b
a. √82 units
b. 9 units
c. √10 units
d. 4√5 units

Explanation:

Step1: Determine coordinates

Assume the coordinates of point \(A\) is \((x_1,y_1)=(-0.5,4)\) and of point \(B\) is \((x_2,y_2)=(0,-5)\) (estimated from the grid).

Step2: Use distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Substitute \(x_1=-0.5,y_1 = 4,x_2=0,y_2=-5\) into the formula:

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Answer:

A. \(\sqrt{82}\) units