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Find the Distance Between the Points. (-18,6),(6,-12) Square

Problemas

Find the distance between the points. (-18,6),(6,-12) square

Roztwór

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Respuesta

The distance between the points \((-18,6)\) and \((6,-12)\) is 30.

Explicación

## Step 1The problem involves finding the distance between two points in a two-dimensional space. The formula to find the distance between two points \((x1, y1)\) and \((x2, y2)\) is given by:### \(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)## Step 2Substitute the given points into the formula. The points given are \((-18,6)\) and \((6,-12)\). So, , , , and .## Step 3Calculate the distance using the formula:### \(\sqrt{(6 - (-18))^2 + ((-12) - 6)^2}\)## Step 4Simplify the expression inside the square root:### \(\sqrt{(24)^2 + (-18)^2}\)## Step 5Calculate the squares and add them:### ## Step 6Add the results:### ## Step 7Finally, calculate the square root of 900 to get the distance:### 30