A number line is a line on which the positions of all numbers can be shown. The required answers are:
1. Coordinate of point B = [tex]\frac{17}{4}[/tex]
2. Coordinate of point C = 14[tex]\frac{7}{8}[/tex]
3. Coordinate of point D = 7[tex]\frac{7}{16}[/tex]
4. Coordinate of point X = 12[tex]\frac{3}{4}[/tex].
5. Coordinate of point X = 2[tex]\frac{5}{6}[/tex]
6. Coordinate of point X = 8[tex]\frac{1}{2}[/tex]
A number line is a type of line that can be used to show the positions of all numbers. It has two ends which start with -∞, and stops at +∞.
A directed number is a number that is either negative or positive. Thus all directed numbers can be located on the number line.
To solve the given question; we have:
MJ = 17 units, so that'
1. Coordinate point B = [tex]\frac{1}{4}[/tex] * MJ
= [tex]\frac{1}{4}[/tex] * 17
= [tex]\frac{17}{4}[/tex]
2. Coordinate point C = [tex]\frac{7}{8}[/tex]* MJ
= [tex]\frac{7}{8}[/tex]* 17
= 14[tex]\frac{7}{8}[/tex]
3. Coordinate point D = [tex]\frac{7}{16}[/tex] * MJ
= [tex]\frac{7}{16}[/tex] * 17
= 7[tex]\frac{7}{16}[/tex]
4. To determine the coordinate of point X, we have
[tex]\frac{MX}{XJ}[/tex] = [tex]\frac{3}{1}[/tex]
So that,
MX = 3XJ
Thus,
[tex]\frac{17}{4}[/tex] = 4[tex]\frac{1}{4}[/tex]
So that,
MX = 3*4[tex]\frac{1}{4}[/tex]
= 12[tex]\frac{3}{4}[/tex]
The coordinate of point X is 12[tex]\frac{3}{4}[/tex].
5. To determine the coordinate of point X, we have;
[tex]\frac{MX}{XJ}[/tex] = [tex]\frac{2}{3}[/tex]
So that,
3MX = 2XJ
Thus,
[tex]\frac{17}{5}[/tex] = 3[tex]\frac{2}{5}[/tex]
Then, the coordinate of X is 2[tex]\frac{5}{6}[/tex].
6. To determine the coordinate of point X, we have;
[tex]\frac{MX}{XJ}[/tex] = [tex]\frac{1}{1}[/tex]
Such that,
MX = XJ
Thus,
[tex]\frac{17}{2}[/tex] = 8[tex]\frac{1}{2}[/tex]
Then, the coordinate of X is 8[tex]\frac{1}{2}[/tex].
For more clarifications on coordinate of a given point, visit: https://brainly.com/question/24762275
#SPJ1
