Answer:
Not a right triangle.
Step-by-step explanation:
If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, 
, so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: 
. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 
according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.
Answer:
Step-by-step explanation:
a) Because you are only receiving $1500 and in exchange you would have to cover for this accident damage in the next year, which could be up to hundred of thousands of dollar. Sure there's a chance the your neighbor might drive safely, but the odds are far more in his favor than yours.
b) The insurance company collect payments from hundred of thousands buyers, making their cash flow up to tens of million dollar. Sure the expected value of accidents might be high but as a company they surely have capital to cover a handful of cases, if their calculation done right.
B. The product of two irrational numbers if rational
Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational.
17) f(x) = 16/(13-x).
In order to find domain, we need to set denominator expression equal to 0 and solve for x.
And that would be excluded value of domain.
13-x =0
Adding x on both sides, we get
13-x +x = x.
13=x.
Therefore, domain is All real numbers except 13.
18).f(x) = (x-4)(x+9)/(x^2-1).
In order to find the vertical asymptote, set denominator equal to 0 and solve for x.
x^2 -1 = 0
x^2 -1^2 = 0.
Factoring out
(x-1)(x+1) =0.
x-1=0 and x+1 =0.
x=1 and x=-1.
Therefore, Vertical asymptote would be
x=1 and x=-1
19) f(x) = (7x^2-3x-9)/(2x^2-4x+5)
We have degrees of numberator and denominator are same.
Therefore, Horizontal asymptote is the fraction of leading coefficents.
That is 7/2.
20) f(x)=(x^2+3x-2)/(x-2).
The degree of numerator is 2 and degree of denominator is 1.
2>1.
Degree of numerator > degree of denominator .
Therefore, there would no any Horizontal asymptote.
Answer:
1. 4
+ 26x² + 4x - 48
2. 2 - 23x² + 60x - 32
3. 
+ 7 - 4x + 2
+ 14x² - 8
4. 2
+ 
- 28 + 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4 + 2x² -8x + 6(4x² + 2x -8)
4 + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4 + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2 - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x( + 7x² - 4) + 2( + 7x² - 4)
+ 7 - 4x + 2( + 7x² - 4)
+ 7 - 4x + 2 + 14x² - 8
No like terms to combine, so:
+ 7 - 4x + 2 + 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2 - 7 + 3) + 4(2 - 7 + 3)
2 - 7 + 3x + 4(2 - 7 + 3)
2 - 7 + 3x + 8 - 28 + 12
Combine like terms:
2 + - 28 + 3x + 12
hope this helps!
