What is the distance (-7/2 , 1/2),(-9/2 ,-1/2) ?

The distance (-7/2 , 1/2),(-9/2 ,-1/2) is square root of 2

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distance (-7/2 , 1/2),(-9/2 ,-1/2)

distance

2

Decimal

1.41421 \dots

Solution steps

The distance between

(x_{1}, y_{1}), (x_{2}, y_{2})

is:

(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

The distance between

(- \frac{7}{2}, \frac{1}{2})

and

(- \frac{9}{2}, - \frac{1}{2})

= (- \frac{9}{2} - (- \frac{7}{2}))^{2} + (- \frac{1}{2} - \frac{1}{2})^{2}

Simplify

= 2

What is the distance (-7/2 , 1/2),(-9/2 ,-1/2) ?
The distance (-7/2 , 1/2),(-9/2 ,-1/2) is square root of 2