Question

What is the distance between the points (0,5) and (8,0)?

Answer 1

Answer:

$\sqrt{89}$

Step-by-step explanation:

distance = $\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }$

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 = $\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }$

distance = $\sqrt{(8)^2 + (-5)^2}$

Solve for the powers next:

distance = $\sqrt{(8)^2 + (-5)^2}$

distance = $\sqrt{64 + 25}$

Simplify:

distance = $\sqrt{64 + 25}$

distance = $\sqrt{89}$

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