Question

question 4 of 10
which methods could you use to calculate the x-coordinate of
the midpoint of a horizontal line segment with endpoints at (0,

1. and (20, 0)?

check all that apply.

a. count by hand.

b. divide 0 by 20.

c. divide 20 by 2.

d. divide 20 by 0.

Explanation:

To find the x - coordinate of the midpoint of a horizontal line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\), the midpoint formula for the x - coordinate is \(\frac{x_1 + x_2}{2}\). Here, \(x_1 = 0\) and \(x_2=20\), so the x - coordinate of the midpoint is \(\frac{0 + 20}{2}=\frac{20}{2}\). Also, since the line segment is horizontal from \(x = 0\) to \(x = 20\) on the x - axis, we can count by hand (e.g., mark the points from 0 to 20 and find the middle). Option B: \(\frac{0}{20}=0\) which is not the midpoint x - coordinate. Option D: Dividing by 0 is undefined. So the correct methods are counting by hand and dividing 20 by 2.

Answer:

A. Count by hand, C. Divide 20 by 2