Simplify:
The equation is already simplified =====> (6x² - x - 1)/(x - 1)
Solve:
Solution (6x² - x - 1)/(x - 1) =======> 6x + 5 + 4/x - 1
Steps:
Apply Long Division on:
(6x² - x - 1)/(x - 1)
Divide:
(6x² - x - 1)/(x - 1):
(6x² - x - 1)/(x - 1) = 6x + 5x - 1/x - 1
= 6x + 5x - 1/x - 1
Divide:
5x - 1/x - 1
5x - 1/x - 1
= 5 + 4/x - 1
Answer ======> 6x + 5 + 4/x - 1
Hope that helps!!!!! : )
To turn 
into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 
to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 
. Thus, you have 
or 
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 
.
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 
. If you divide both sides by 9, you get 
. When simplified, you get that 
.
Answer: 
.
<h3>
Answer: Ellipse</h3>
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Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
Answer:
number 9 is c.
im not really sure what 10 is
Use the Pyth. Theorem to calculate the total distance flown by the plane in 3 1/2 hours:
d = sqrt(750^2 + 750^2) = 750sqrt(2) miles
Now divide this distance by the total time (3 1/2 hours):
750sqrt(2) miles
---------------------- = 303 miles per hour average
3.5 hours
