Answer:
the formula for a function d(x) that describes the distance is [tex]d(x)=\sqrt{101x^{2}-24x+5}[/tex]
Step-by-step explanation:
We are going to define final point [tex]P_{f}=(2,0)[/tex], and initial point [tex]P_{i}=(x,y)=(x,10x-1)[/tex], then we can use [tex]d=\sqrt{(x_{f}-x_{i})^{2}+(y_{f}-y_{i})^{2}}[/tex], so we obtain [tex]d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}[/tex], by developing it [tex]d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}\\d(x)=\sqrt{4-4x+x^{2}+(1-10x)^{2}}\\d(x)=\sqrt{4-4x+x^{2}+1-20x+100x^{2}}\\d(x)=\sqrt{101x^{2}-24x+5}\\[/tex]
This formula describes the distance between those two points and involves x
