P⁴ - 81
p⁴ + 9p² - 9p² - 81
p²(p²) + p²(9) - 9(p²) - 9(9)
p²(p² + 9) - 9(p² + 9)
(p² - 9)(p² + 9)
(p² + 3p - 3p - 9)(p² + 9)
(p(p) + p(3) - 3(p) - 3(3))(p² + 9)
(p(p + 3) - 3(p + 3))(p² + 9)
(p - 3)(p + 3)(p² + 9)
The answer is (3).
Expression
(5+3)+(5x2)=p
Solution
18
(Step-by-Step)
In this expression we simply have to use basic PEMDAS (Parenthesis Equation Multiplication Division Addition Subtraction) Order.
We start by working out the parenthesis
5 + 3 and 5 x 2
First let's work out our metal and wood paperweights
5+3=8
Simple enough, we have 8 metal AND wood paperweights
Now we have to work out our glass paperweights.
We have twice as many glass as we do metal PW's meaning we need to multiply the 5 metal paperweights by 2
5x2=10
This simplifies and boils our equation down to
8+10
simply solve and add the two and you have your answer
18
The answer is 5 . because if you count the # it will go to 28
Answer:
a)
b)
Step-by-step explanation:
a) We have the following sentence:
There is a person in your class who was not born in California.
Let ,,x'' is person.
Let P(x) be ,,x is in your class''.
Let Q(x) be ,,x is born in California''.
we get:
b) We have the following sentence:
A student in your class has been in a movie.
Let ,,x'' is student.
Let P(x) be ,,x is in your class''.
Let R(x) be ,,x has been in a movie''.
we get:
Answer:
Step-by-step explanation:
The Law of Sines is given by and works for every triangle.
Substituting given values, we have the following equation:
*Note that because , when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.