Question

Using the distance formula to find the distance, to the nearest tenthn between f(9,5) and g(-2,2)
show work

Answer 1

\[d = \sqrt{(x _{2} - x _{1})^{2} + (y _{2} - y _{1})^{2}}\]
so d = \[\sqrt{(-2 - 9)^{2} + (2 - 5)^{2}}\]
\[d = \sqrt{(-11)^{2} + (-3)^{2}}\]
\[d = \sqrt{121 + 9}\]
\[d = \sqrt{130}\]
so d = use your calculator

Answer 2

from -2 to 9 is 11 on the x axis
from 2 to 5 is 3 on the y axis. use pythagoras and get
\[d^2=11^2+3^2=121+9=130\] so
\[d=\sqrt{130}\]