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Deffense [45]
3 years ago
10

Add: (x2 + 5x + 2) + (x2 - 2x + 7).

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0
The answer is c. Hope this helps!
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What is the second term in the binomial expansion of (2r-3s)12?
Reptile [31]
(a+b)^n=\displaystyle\sum_{k=0}^n\binom nka^{n-k}b^k

where \dbinom nk=\dfrac{n!}{k!(n-k)!}. The second term of the expansion occurs when k=1.

So the second term of the expansion of (2r-3s)^{12} is

\dbinom{12}1(2r)^{12-1}(-3s)^1=12(2r)^{11}(-3s)=-73728r^{11}s
5 0
3 years ago
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What does equivalent mean in math
nirvana33 [79]
Same is the answerso it means equal to
6 0
3 years ago
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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.

<h2>Why?</h2>

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

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
What is the simplified form of the quantity 12 z–squared minus 7z minus 12 over the quantity 3 z–squared plus 2z minus 8
ELEN [110]
12z^2 - 7z -12/ 3z^2 + 2z - 8

= (4z+3) (3z -4)/ (z+2)(3z -4)

= (4z + 3)  / (x+2)

Hope this helps

3 0
3 years ago
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Mika read a 405- page book in 6 hours, how many pages per minute did she read?
barxatty [35]
Divide 405 by 6 which is 67.5
So 67.5 per hour but it wants minutes
So divide 67.5 by 60 (minutes in an hour) and you’ll get 1.125 pages per minute
6 0
3 years ago
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