Answer:
m=25/12
Step-by-step explanation:
multiply the reciprocal of 2/5 on both sides
9514 1404 393
Answer:
d. 14 -3x
Step-by-step explanation:
If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.
3x +y = 14 . . . . . . first equation
y = 14 -3x . . . . . . subtract 3x from both sides
This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.
y = 14 -3x . . . . matches D
We have the equation

Let's complete the square, to do it let's add and subtract 25 on the right side

Now we can have y in function of x

Now we can already identify the vertex because it's in the vertex form:

Where the vertex is

As we can see, h = 5 and k = -2, then the vertex is

Now we can continue and find the focus, the focus is

We have a = 1/20, therefore

The focus is

And the last one, the directrix, it's

Then

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
6/4 = 1 1/2 gallons
2 - 1 1/2 = 1/2 gallon
She has 1/2 a gallon left over
2nd graph (straight line)