What is the distance between (-1,4) and (2,0)
1 answer:
Answer: 5
The Distance between the coordinates of two points is measured by distance formula.
Step-by-step explanation:
The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by
Distance PQ= (x2-x1)²+(y2-y1)²
So, the distance between (-1,4 ) and (2,0) can be calculated by
Distance= (2-(-1))²+(0-4)²
= (3)²+(-4)²
=9+16 =
25 as
25 = 5
Distance = 5
So the distance between the two coordinates is 5.
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To determine what kind of extremum occurs at this point, we check the Hessian of
:
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with partial derivatives (set equal to 0) of
As
From this, we find a single critical point:
At this point, we have a value of
To determine what kind of extremum occurs at this point, we check the Hessian of
We observe that