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svet-max [94.6K]
3 years ago
6

Thích of the following is a COMPLETE list of all possible Rat f(x) = 2x3 + 5x2 - 9x + 5

Mathematics
1 answer:
Korvikt [17]3 years ago
3 0

Answer:

1.  Reduce  3x2-6x-240   to    x^2 - 2x - 80

2.  Use " ^ " to indicate exponentiation

3.  Factor  x^2 - 2x - 80 using completing the

    x^2 - 2x + 1^2 - 1^2 - 80

        (x+1)^2 - 1  - 80

         (x+1)^2 - 81

         (x+1)^2 - 9^2  = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown:      3(x-8)(x+10)

Step-by-step explanation:

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<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>

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  • A polygon with 10 sides ( Decagon )

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<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

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<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

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\qquad \diamond \:  \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \:  \star

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Putting the given values, we get,

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\sf \dashrightarrow Exterior ~angle =  \dfrac{360  ^\circ}{10} \:  \:   \\  \\  \\ \sf \dashrightarrow Exterior ~angle =  \frac{36 \cancel{0}^\circ}{ \cancel{10}} \:  \:   \\  \\  \\ \sf \dashrightarrow Exterior ~angle =  \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\  \\

Thus, the value of the exterior angles of a Decagon is 36°.

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\underline{ \rule{227pt}{2pt}} \\  \\

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The correct answer is option B which is the volume of the prism is 216 km³.

<h3>What is the volume of the prism?</h3>

A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.

The volume of the prism will be calculated by using the formula below:-

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Therefore the correct answer is option B which is the volume of the prism is 216 km³.

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