Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is


Therefore the area of the parallelogram is 55 square unit.
The point slope form of the line has the following form:
y – y1 = m (x – x1)
The slope m can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (3 - 0) / (0 – 4) = - ¾
So the whole equation is:
y – 0 = - ¾ (x – 4)
y = - ¾ (x – 4) or
<span>y = - 0.75 (x – 4)</span>
9514 1404 393
Answer:
5
Step-by-step explanation:
Let f represent the number of friends. Their total earnings are ...
21f = 105
f = 105/21 = 5 . . . . . divide by the coefficient of f
There are 5 friends in the group.