The last two answers would be correct. This is because pi is an irrational number, 22/7 is a rational number, and 3.14 is a rational number.
Answer:
Part I : 2160°
Part II : 165°
Part III : 36 sides.
Part IV : 10 sides.
Step-by-step explanation:
Part I : If the polygon has 14 sides, then the sum of all the interior angles of a polygon will be = (14 - 2) × 180° = 2160°. (Answer)
Part II : If the polygon has 24 sides, then the sum of all the interior angles of a polygon will be = (24 - 2) × 180° = 3960°.
Therefore, the measurement of each interior angles will be = . (Answer)
Part III : Given that 10° is each exterior angle of a polygon. So, each interior angle is (180 - 10) = 170°.
If the number of sides is n, then,
⇒ 10n = 360
⇒ n = 36 sides. (Answer)
Part IV : Sum of the all interior angles is 1440°.
If it has n sides, then (n - 2) \times 180 = 1440
⇒ n - 2 = 8
⇒ n = 10 (Answer)
Answer:
D. Even and shifts downwards
Explanation:
When a number outside of the parentheses effect the function, it is considered the y.
So, the -4 would cause the function to shift downwards 4 units.
However, it would change the even and odd because you would have to place a negative sign in front of the x.
The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)
<h3>What is the result of the subtraction between two algebraic rational functions?</h3>
In this question we have a subtraction between two <em>rational</em> functions, which have to be simplified by <em>algebra</em> properties. The complete procedure is presented below:
32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) Given
32 · x² / [(x + 3) · (x + 5)] - 14 · x² / [(x + 3) · (x - 3)] Factorization
[x² / (x + 3)] · [32 / (x + 5) - 14 / (x - 3)] Distributive and associative properties
[x² / (x + 3)] · [32 · (x - 3) - 14 · (x + 5)] / [(x + 5) · (x - 3)] Subtraction of rational numbers with distinct denominators
[x² / (x + 3)] · [32 · x - 96 - 14 · x - 70] / [(x + 5) · (x - 3)] Distributive property / (- 1) · a = - a
[x² / (x + 3)] · (18 · x - 166) / [(x + 5) · (x - 3)] Distributive property / Definitions of addition and subtraction
[18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)] Mutiplication between rational numbers / Multiplication between powers / Distributive property
The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)
To learn more on rational functions: brainly.com/question/27914791
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