Problemas
Find the distance between the points. (-18,6),(6,-12) square
Roztwór
Constanza
élite · Tutor durante 8 años
4.1
(157 Votos)
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