Answer:
The possible coordinates of point A are 
and 
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that 
, 
, 
and 
, then the possible coordinates of point A is:
There are two possible solutions:
1) 
2) 
The possible coordinates of point A are and , respectively.
Answer:
False (I assume it's a true/false question)
Step-by-step explanation:
Standard deviation measures how spread out the data is. If you add 8 to all the data values, the distribution of data moves to the right (on a graph) 8 units. The shifted data are no more and no less spread out than before. The standard deviation does not change.
F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
