Question

Please solve correctly full explanation please will give brainlist

Answer 1

Answer:

They subtracted the values incorrectly

Step-by-step explanation:

The formula for finding the distance between two points is this:
$\sqrt{} (x_{2} -x_{1})^{2} + (y_{2} -y_{1} )^{2}$

The person subtracted the variables incorrectly and subtracted x1 from x2 and y1 from y2 instead of the other way around.

To correctly solve it, do this:$\sqrt{((-7-(-1))^2+(-6-2)^2} = \sqrt{(-6)^{2} + (-8)^{2} } = \sqrt{36+64} = \sqrt{100} = 10$

Hope this helped!

Answer 2

Answer:

10 units

Distance between two points:

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

                                               where $\sf \bold{ (x_1, y_1) , \ (x_2, y_2) }$

Here given:

coordinates: (-1, 2), (-7, -6)

$\sf \cdot x_1 =-1$

$\sf \cdot y_1=2$

$\sf \cdot x_2 =-7$

$\sf \cdot y_2 =-6$

Solve for distance:

$\rightarrow \sf d = \sqrt{(-7 -(-1))^2 + (-6-2)^2}$

$\rightarrow \sf d = \sqrt{(-6)^2 + (-8)^2}$

$\rightarrow \sf d = \sqrt{36 + 64}$

$\rightarrow \sf d = \sqrt{100}$

$\rightarrow \sf d = 10$