Answer:
Step-by-step explanation:
The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0
Substituting the three points we get the following equations,
2g +14f +c=-50
14g - 2f + c =-50
16g +12f + c = -100
Solving these equations we get,
g =-4, f = -3, c = 0
Hence general equation of circle is,
x² + y² - 8x - 6y = 0
Answer:
Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by
so let
substitute
simplify addition:
simplify division:
hence,
the Midpoint of the line segment is (3,1)
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
A.
1 hour = 60 minutes ;
2 hour s= 120 minutes;
140 - 120 = 20 minutes ;
20 = 60 ÷ 3 ;
20 minutes represents ( 1 / 3 ) hour;
Then, 140 minutes represents 2 1 / 3 hours ;
2 1 / 3 = 7 / 3 = 2.(3) ;
B.
2.(3) > 2.3 ;
your friend underestimate the length of the movie ;
If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents
