Respuesta :
it's called the distance formula. The square root of (-5-7)^2+(-1-(-6))^2
This simplifies to the square root of -12^2+5^2, or the square root of 144+25.
144+25=169.
the square root of 169 is 13
Answer:
Distance between the given points is 13 units.
Step-by-step explanation:
Since we know the formula of distance between two points (x, y) and (x', y') is defined by
Distance = [tex]\sqrt{(x-x')^{2} +(y-y')^{2} }[/tex]
Now we have to find the distance between (-6, 7) and (-1, -5) by using the formula given above.
Distance = [tex]\sqrt{(-1+6)^{2} +(7+5)^{2} }[/tex]
= [tex]\sqrt{(5)^{2} +(12)^{2} }[/tex]
= [tex]\sqrt{(25 + 144)}[/tex]
=[tex]\sqrt{169}[/tex]
= 13 units.
Therefore, distance between these points will be 13 units.
