Answer:
[tex]3\sqrt{2[/tex]
Step-by-step explanation:
To find the distance between two points in a coordinate plane, you can use the distance formula:
d=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Given the points (0,3) and (-3,0)we can plug in the coordinates into the formula:
d=[tex]\sqrt{ (-3-0)^2+(0-3)^2}\\[/tex]
d=[tex]\sqrt{(-3)^2+(-3)^2[/tex]
d=[tex]\sqrt{9+9}[/tex]
d=[tex]\sqrt{18}[/tex]
Now, you can simplify [tex]\sqrt{18}[/tex] if needed. It can be written as [tex]3\sqrt{2[/tex] So, the distance between the two points is [tex]3\sqrt{2[/tex].
