Step-by-step explanation:
The distance between 2 points is calculated with this formula:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
• in the first exercise:
- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1
- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2
then apply the formula:
[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]
[tex] \sqrt{81 + 1} [/tex]
[tex] \sqrt{82 } =9.05[/tex]
you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)
• in the second exercise:
- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1
- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2
then apply the formula:
[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]
[tex] \sqrt{(0) {}^{2} + (36) } [/tex]
[tex] \sqrt{36} = 6[/tex]
