Answer:
A
120
Step-by-step explanation:
With all the parallel lines involved, the central figure is a parallelogram. These 4 sided figures have the odd property of having their opposite angles equal.
What that means, in plain English is that <NRL = <NML
Both of these angles = 120
Here's the cruncher. <NRL and <PRK are vertically opposite. They are therefore equal.
The answer to your question is 120 which is A
Vertical asymptotes are when y tends to infinity, which in other words means you need a fraction where you're dividing by zero. So to find the vertical asymptotes, solve the denominator of the fraction and the solutions are the asymptotes since that is where it will be dividing by zero.
Horizontal asymptotes are the opposite and is where x tends to infinity -- This can be done by dividing through with the xs still there, since you are effectively just looking at multiples of infinity and infinity squared and so on. When you have an x to the power you can forget about all the other x's on the same half of the fraction, since infinity squared is infinitely bigger than infinity - yes it's abstract and a bit stupid I know.
If the degree of the polynomial on the denominator is larger than the numerator, there is an asymptote at y=0 (since the bottom becomes infinitely larger than the top). If it is lower than the numerator, you have to divide through by long division and you end up with an oblique asymptote i.e. an asymptote where the dotted line would follow a linear equation e.g. y=x
For example

The vertical asymptote can be found by solving 2x^2-8=0 i.e. x=+-2 so our vertical asymptotes are at 2 and -2.
The horizontal asymptote, think of all the x's as infinity. SInce there are x^2s, we dont need to worry about the numbers or the other x's
Therefore we are left with 6x^2/2x^2, which gives us 3. Therefore our horizontal asymptote would be at y=3.
Answer:
Store Z
Step-by-step explanation:
Store X: 4 cans for $2.48, so 2.48/4= $0.62 per can
Store Y: 5 cans for $3.00, so 3.00/5= $0.60 per can
Store Z: $0.59 per can
Store Z offers the best deals since it cost less than the other
Answer:
No, she couldn't have scored only two goals because that would mean Kenny scored six and 2 + 6 does not equal 12.
Step-by-step explanation:
Let x = Number of goals Carrie scored
Let 3x = Number of goals Kenny scored (three times Carrie)
Now we set up an equation showing that they both scored a sum of 12 goals.
3x + x = 12
Combine like terms
4x = 12
Divide both sides by 4 to isolate variable x
x = 12/4
x = 3
Carrie scored 3 goals. So your answer is no.