Question

find the distance between (-2,7) and (4,-1). √(-28) the victim did not stub a toe. 100 professor delta was swimming laps in the pool. √28 mrs. gamma was pruning the plants in the atrium. 10 electrocution did not injure the victim.

Explanation:

Step1: Recall the distance formula

The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).

Step2: Identify the coordinates

Here, \( x_1=-2,y_1 = 7,x_2 = 4,y_2=-1 \).

Step3: Substitute into the formula

First, calculate \( x_2 - x_1=4-(-2)=4 + 2=6 \) and \( y_2 - y_1=-1 - 7=-8 \).
Then, \( (x_2 - x_1)^2=6^2 = 36 \) and \( (y_2 - y_1)^2=(-8)^2=64 \).
Next, sum these two results: \( 36+64 = 100 \).
Finally, take the square root: \( d=\sqrt{100}=10 \).

Answer:

10