Answer:
The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Step-by-step explanation:
Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]
[tex]d=\sqrt{36+121}[/tex]
[tex]d=\sqrt{157}[/tex]
Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units
Answer: The distance between (7,1), and (-4, -5) is 12.53.
