Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
We're going to use the distance formula to find the distance between two points. The formula is:
d = [tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Our two points are (x1, y1) and (x2- y2)
Let's make the point (0, 0) be our (x1, y1), and the point (4, 7) be our (x2, y2).
Substitute the points into the formula.
d = [tex]\sqrt{(4-0)^{2}+ (7-0)^{2} }[/tex]
d = [tex]\sqrt{4^{2}+ 7^{2} }[/tex]
d = [tex]\sqrt{16 + 49}[/tex]
d = [tex]\sqrt{65}[/tex]
I don't know if the question is asking for the exact value or the decimal value, but the exact value is [tex]\sqrt{65}[/tex]. You can put that value into a calculator to find the decimal value.
