Answer:
-26
Step-by-step explanation:
so, the absolute value of 3 and 11 together is 14.
14-(15+3+2)2
14-(20)2
14-40
-26
Answer:
91
Step-by-step explanation:
2p+18=200
subtract 18 on both sides
2p=182
Divide 2 on each side
p=91
Answer:
1/4x -3
Step-by-step explanation:
To find the inverse of a function, exchange x and y and then solve for y
y =4x+12
Exchange x and y
x = 4y+12
Solve for y
Subtract 12 from each side
x-12 = 4y+12-12
x-12 = 4y
Divide by 4
(x-12)/4 = 4y/4
The inverse is
1/4x -3
The greatest common factor of this can be solved by looking at the individual parts and splitting it up.
First, we have 28 and 7. Well, thats an easy one. 7 goes into 28 4 times so we are now left with 4 and 1.
We can also write the rest of this like this 4(x*x*y) - 1(x*y*y*y*y*y)
Now, what values are in both equations. We have one x and one y that can be taken out of both.
We end up with 7xy(4x-7y^4)
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