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20 POINTS !!!

Find the distance between the points (3,-4) and (5, 4)

2 Answers

4 votes

Answer:


d=2√(17)\approx8.2462

Explanation:

To find the distance between two points, use the distance formula.

The distance formula is:


d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:


d=\sqrt{(5-3)^2+(4--4)^2

Simplify:


d=\sqrt{(2)^2+(8)^2

Square:


d=√(4+64)

Add:


d=√(68)

Simplify:


d=√(4\cdot17)=\sqrt4\cdot√(17)

Simplify:


d=2√(17)\approx8.2462

User Cheche
by
8.1k points
6 votes

Answer:


\boxed{2√(17)}

Explanation:

To find the distance between two points, we use the distance formula. The distance formula is:


\boxed{d=\sqrt{(x_(2)-x_(1))^(2)+({y_(2)-y_(1))^(2)}}}

Therefore, we can label our coordinate pairs and solve for d.

Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is
(x_(1), y_(1)) \text \: {and} \: (x_(2), y_(2)). Therefore, we can implement the distance formula and solve.


\sqrt{(5-3)^(2)+(4-(-4))^(2)}\\\\\sqrt{(2)^(2)+(8)^(2)}\\\\√(4 + 64) \\\\√(68) \\\\\boxed{2√(17) }

User Lawrence Johnson
by
7.5k points

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