Answer:
4
Step-by-step explanation:
the third angle of the inner triangle is defined by using the rule that the sum of all angles in a triangle must be 180 degrees. let's call this angle a
180 = 48 + 16x + a
132 - 16x = a
and then we know that both angles, 28x and a together must also be 180, as they are complementing each other to cover the whole top of the base line.
so,
28x + 132 - 16x = 180
12x = 48
x = 4
First, the need to determine if the statements are true or false.
1) January is the first month of the year. (This statement is true)
2) December is the last month of the year. (This statement is also true)
With this in mind we can determine that what will illustrate the truth value would be:
T T -> T
In other words, since the first statement is true and the second statement is also true then conjunction of both statements would be true.
Answer:
c) -x^3 + x^2 - 1
Step-by-step explanation:
Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2
(u/v)(x) = u(x)/v(x)
Now plug in the given functions in the above formula, we get
= (x^5 - x^4 + x^2) / -x^2
We can factorize the numerator.
In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.
= x^2 (x^3 - x^2 + 1) / - x^2
Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.
(u/v)(x) = (x^3 - x^2 + 1) / -1
When we dividing the numerator by -1, we get
(u/v)(x) = -x^3 + x^2 - 1
Answer: c) -x^3 + x^2 - 1
Hope you will understand the concept.
Thank you.
