Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.
Answer:
it is not because a polynomial cannot have a negative power
Answer:
The exact value of sin A is opp/hyp = -12/13
Step-by-step explanation:
If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or
y = -√(13^2 - 25) = -√144 = 12.
The exact value of sin A is opp/hyp = -12/13
Answer:

Step-by-step explanation:
<u>The Inverse of a Function</u>
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:

* Solve the equation for x.
Multiply by 3x-1

Divide by y:

Sum 1:

Operate the right side:

Divide by 3:

* Swap the variables:

Write back into function form:

If the given radius is 5 inches, then the circumference, C is 2pi r, or 2pi(5 inches) = 10pi inches. You MUST include pi in your calculation of C.