Answer:
Step-by-step explanation:
The focus lies on the x axis and the directrix is a vertical line through x = 2. The parabola, by nature, wraps around the focus, or "forms" its shape about the focus. That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type. The standard form for this type is
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one). That means that the vertex has to be equidistant from the focus and the directrix. If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0). So h = 0 and k = 0. p is the number of units from the vertex to the focus (or directrix). That means that p=2. We fill in our equation now with the info we have:
Simplify that a bit:
Solving for y^2:
Answer:
7.5 hours
Step-by-step explanation:
The key here is to find out how much can be done in the same amount ot time
the least common multiple of 5 hrs and 3 hrs is 15hrs
In 15 hours:
- At 5 hours per lawn Norton could mow 15/5 = 3 lawns
- At 3 hours per lawn together thay could mow 15/3 = 5 lawns
In 15 hours Jesse would mow 5 - 3 = 2 lawns
15 hours/ 2 lawns = 7.5 hours per lawn
7.5 hours
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Here's the math
1 lawn/5hrs + x = 1 lawn / 3hrs
1/5 + x = 1/3
Subtract 1/5 from both sides
x = 1/3 - 1/5
x = 5/15 - 3/15
x = 2/15
x = 2lawns/15 hrs
15hrs/2lawns = 7.5 hrs per lawn
7.5 hours
Answer:
The correct way to evaluate this expression is my following the order of operations PEMDAS
P=Paranthesis
E=Exponents
M/D=multiply/divide
A/S=add/subtract
The first step in 48-(29-17) is to do what's inside the paranthesis
48-12 (29-17=12)
Then you would subtract 48-12
48-12=36
Your final answer is
36
Hope this helps ;)
Answer:
2x + y = 17
-6x = 3y - 51
Step-by-step explanation:
You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.
In the above answer, if you multiply the above by -3 you get:
-6x -3y = -51
which is of course -6x = 3y - 51
So that is an example of a pair that has infinite solutions.
To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!
