Answer:
[tex]\sqrt{89}[/tex]
Step-by-step explanation:
distance = [tex]\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }[/tex]
Let:
(x₁ , y₁) = (0 , 5)
(x₂ , y₂) = (8 , 0)
Plug in the corresponding numbers to the corresponding variables:
Remember to follow PEMDAS. Solve the parenthesis first:
distance = [tex]\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }[/tex]
distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]
Solve for the powers next:
distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]
distance = [tex]\sqrt{64 + 25}[/tex]
Simplify:
distance = [tex]\sqrt{64 + 25}[/tex]
distance = [tex]\sqrt{89}[/tex]
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