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3 years ago

Which are perfect square trinomials?

Mathematics

2 answers:

Tom [10]3 years ago

6 0

Answer:

square trinomial if it can be factored into a binomial multiplied to itself. ... For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.

Step-by-step explanation:

rosijanka [135]3 years ago

5 0

Answer:

a² + 2ab + b²

a² - 2ab + b²

Step-by-step explanation:

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2 years ago

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(12.25 × 10^6) ×(2.45× 10^3)

monitta

<em>The answer you are looking for is: </em>
<em><u>Exact: 3.00125* $10^{10}$ </u></em>
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4 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.

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!

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3 years ago

How many distinct zeroes does the function <img src="https://tex.z-dn.net/?f=f%28x%29%3D%282x%2B1%29%28x%2B1%29%285x-4%29%282x%2

irina [24]

It has 3 zeroes which are

$\frac{-1}{2}, -1, \frac{4}{5}$

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3 years ago

Calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2

Paladinen [302]

Answer:

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

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3 years ago

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