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serious [3.7K]
3 years ago
7

Identify the factors of 4x2 + 20x + 25.

Mathematics
2 answers:
creativ13 [48]3 years ago
7 0
The answer is C. (2x+5)(2x+5)
son4ous [18]3 years ago
6 0

Answer:

Option (c) is correct

The factors of  the given equation  4x^2+20x+25 are =\left(2x+5\right)(2x+5)

Step-by-step explanation:

 Given equation 4x^2+20x+25

We have to find the factors of given equation and chosoe the correct option.

Consider the given equation  4x^2+20x+25

Rewrite 4 as 2²

and 25 as 5²

We have,

=2^2x^2+20x+5^2

Apply exponent rule, a^mb^m=\left(ab\right)^m

we have,

=\left(2x\right)^2+20x+5^2

rewrite 20 x as \mathrm{\:as\:}2\cdot \:2x\cdot \:5

we have,

=\left(2x\right)^2+2\cdot \:2x\cdot \:5+5^2

Apply algebraic identity \left(a+b\right)^2=a^2+2ab+b^2

We have,

=\left(2x+5\right)^2

Thus, The factors of  the given equation  4x^2+20x+25 are =\left(2x+5\right)(2x+5)

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3 years ago
Does anyone know how to solve this?
erik [133]

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

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y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

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and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

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Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

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So another representation could be something like:

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Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

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