Answer:
A and C
Step-by-step explanation:
Hopefully this helps
Answer:
56 possible different subcommittees
Step-by-step explanation:
This is a combination problem.
In combination probability, the formula is;
nCr = n!/((n - r)! × r!)
Now, out of the 8 members on the board of directors, they now want to form a subcommittee of 3 members.
Thus, the different subcommittees possible is given by;
8C3 = 8!/((8 - 3)! × (3!)) = 56
Thus, there are 56 possible different subcommittees
Answer:
<em>x = -3 and y = 0</em>
Step-by-step explanation:
<em>It would be more direct to apply elimination in this problem, rather than substitution:</em>
2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30
+ 2(4x - 3y = -12) + 8x - 6y = -24
<em>Now let us solve for x through simply algebra:</em>
10x = -30,
<em>x = -3</em>
<em>Substitute this value of x into the first equation to get the value of y:</em>
2( -3 ) + 6y = -6,
-6 + 6y = -6,
6y = 0,
<em>y = 0</em>
Answer:

Step-by-step explanation:
- A circle's equation consist on the following expression:
, where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle. - In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
- The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
- Finally, using the previous information to replace in the equation
, where the fact that r=2 and
was used.
Answer:
problem 1 2x+5y= 0
×=-1/2-5/2y
problem 2 y=1 3/7y y=-1.428571
7y=-10
problem 3 x=-7
problem 4 x-y=20
x=-20