This is a parabola which opens upwards and the directrix will be of the form
y = k
the general form is
4p(y - k) = (x - h)^2 we have:-
1/4(y + 3) = (x - 2)^2
so the vertex is at (2, -3)
4p = 1/4 so p = 1/16
so the focus will be at (2 , -2 15/16)
and directrix is y = -3 1/16
Answer:
So, exists 5527200 different leadership structures.
Step-by-step explanation:
We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
Since the order of the people is important to us, we have the following:
50·49·48·47=5527200
So, exists 5527200 different leadership structures.
Answer:
5k
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
substitute the x in 2x - y = 7 by x = 3y - 4 and then solve
2(3y - 4) - y = 7
<em>Distribute the 2 into the parenthesis</em>
6y - 8 -y = 7
<em>combine like terms</em>
5y - 8 = 7
<em>add 8 on both sides</em>
5y = 15
<em>divide by 5 on both sides to isolate the y-value</em>
y = 3
Answer:
7/15 for dime
6/15 for pennies
Step-by-step explanation:
7/15 because 7+2+6=15 and there are 7 dimes so 7/15.
6/15 because there are 15 coins and there are 6 pennies so 6/15.
15 is the total so 7 and 6 have to go over it.
