Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
Answer:
I believe you have to add 15.9 on both sides
Solve this problem using an equation of ratios:
85 pounds
-------------- = ?
1 year
I think you may have omitted some key info from this problem. You don't say how many hives are on this farm, for example.
Answer:
21
Step-by-step explanation:
Ok, so this may be confusing but I’ll explain.
Here is a very simplified diagram:
1-2, 1-3, 1-4, 1-5, 1-6, 1-7
2-3, 2-4, 2-5, 2-6, 2-7
3-4, 3-5, 3-6, 3-7
4-5, 4-6, 4-7
5-6, 5-7
6-7
*Note- I did this in about 30 seconds and on my phone so it is very simplified *
Each number, 1-7, is supposed to represent a different ingredient and they are put together to represent the two-ingredient combinations.
For example: 1-2 could represent pepperoni and sausage, and 1-5 could represent pepperoni and olives. This would mean that the 1 represents pepperoni, 2 represents sausage, and 5 represents olives.
If you count the number of combinations in each row, there are 21 combinations. This is because I made sure there are no repeats (2-3 AND 3-2) and because there wouldn’t be any doubles (1-1 or 2-2)
remove parenthesis : 2/3 - 5/6 + 9/4 - 3/5
add fractions based on lcm : 40/60 - 50/60 + 135/60 - 36/60
equal denominator so combine fractions : 40 - 50 + 135 - 36 / 60
add/subtract : 40 - 50 + 135 - 36 = 89
answer ; 89/60
