Multiply............

Mathematics

2 answers:

ZanzabumX [31]4 years ago

8 0

Hey there!

In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer.

(2x² – 5x)(4x² – 12x + 10)

2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²

–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x

Write all of these terms together. You can rearrange the similar ones to be next to each other.

8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x

Just add or subtract the terms to simplify, if they can be.

8x⁴ – 44x³ + 80x² – 50x

(8x⁴ – 44x³ + 80x² – 50x) will be your final answer.

Hope this helped you out! :-)

Firlakuza [10]4 years ago

7 0

Well, I would simplify the expression because you don't know x. Combine all your like terms first
2x^2-4x^2-5x-12x+10
Then add the like terms together
6x^2-(-7x)+10
That would be your final answer! I don't know if it is correct or not, depending the other answers you get. You can also google it if it doesn't help‍♀️

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There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to

Kitty [74]

<h2>Hello!</h2>

The answer is:

The height of the lightning rod is 27.4 feet.

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

Now, isolating we have:

$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

Also, we have that:

$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$