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kifflom [539]
3 years ago
13

Which of the following is a factor of 2xy + 8y − 8x − 32?

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

We are given

2xy+8y-8x-32

We can write it as

=2y*x+2y*4-8*x-8*4

we can see that 2y is in first two terms

and -8 is in last two terms

so, we can factor it out

=2y(x+4)-8(x+4)

now, we can see that x+4 is common in both terms

so, we can factor it out

=(x+4)(2y-8)

we can see that

x+4 is one of factor of terms

so, option-B..........Answer

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(x2 + 4)(x2 - 4) please help
VikaD [51]

(x^{2} + 4)(x^{2} - 4)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x^2 + 4)(x^2 - 4)

x^2 * x^2

x^4

Outside:

(x^2 + 4)(x^2 - 4)

x^2 * -4

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Inside:

(x^2 + 4)(x^2 - 4)

4 * x^2

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Last:

(x^2 + 4)(x^2 - 4)

4 * -4

-16

Now combine all the products of the FOIL together like so...

x^4 - 4x^2 +4x^2 - 16

Combine like terms:

x^4 - 4x^2 +4x^2 - 16

- 4x^2 +4x^2 = 0

x^4 - 16 <<<This is your answer

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4 0
3 years ago
Consider circle C with radius 5 cm and a central angle measure of 60°. What fraction of the whole circle is arc RS?
skelet666 [1.2K]

Answer:

There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.

The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:

From this definition, we can multiply both sides of the equation by d to obtain

or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.

Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.

Step-by-step explanation:

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