Answer:
0.512 goals per game
Step-by-step explanation:
Given:
The number of games is represented by 'x' and number of goals is represented by 'y'.
Now, 'y' varies directly with x and at a constant rate.
A direct relationship line is given as:
Where, 'm' is the constant rate of change.
Now, for
So, a point on the line is given as (82, 42).
Plug in the given values in the above equation and solve for 'm'. This gives,
Therefore, Keith scores at a constant rate of 0.512 goals per game.
Answer: Area of Parallelogram is 28 units squared.
Step-by-step explanation:
Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by
Area= |a×b| ___ (1)
From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.
Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .
Calculations are given in picture.
