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ddd [48]
4 years ago
5

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

Mathematics
1 answer:
sineoko [7]4 years ago
5 0

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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