21. 5.65 > 5.1
22. 6.2 < 6.5
23. 4.1 < 4.5
24. 7 < 7.1
25. 9.9 > 9.3
26. 4.1 < 4.5
27. 8.6 >8.1
28. 3.4 < 4.5
29. 4 > 3.9
30. 1.4 < 1.75
31. 7.1 < 7.5
32. 3 < 3.01
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and
: True : True
This point lies in the solution region.
Checking for (1,5)
and
: False : False
This point does not lie in the solution region.
Checking for (5,1)
and
: False : True
This point does not lie in the solution region.
Checking for (-1,5)
and
: True : False
This point does not lie in the solution region.
Answer:
7. F=24N
8. P=16N
Step-by-step explanation:
the sum of all forces will equals 0
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.