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SOVA2 [1]
3 years ago
10

Please answer and explain your reasoning thanks!

Mathematics
2 answers:
Alla [95]3 years ago
7 0
The first one is the correct answer.
When you multiply, you end up with 49x^16+28xy^40-28x^40 -16y^64
The two middle terms cancel out so you end up with 49x^16-16^64.
Ksju [112]3 years ago
5 0
a^2-b^2=(a-b)(a+b)

This formula will be useful in helping us factor this.

49x^{16}-16y^{64}

This is the equation that we are going to factor.
Let's first change this equation to have the form a^2-b^2

In order to do that, here are two important exponent rules that was used.
(a^b)^c=a^{bc}
(ab)^c=a^c b^c

With those rules, we can change the equation into the following:
(7x^8)^2-(4y^{32})^2

Refer back to the formula I showed in the beginning of this answer.
a^2-b^2=(a-b)(a+b)

(7x^8)^2-(4y^{32})^2=(7x^8-4y^{32})(7x^8-4y^{32})

Thus, your answer is the first choice. Hope this helps! :)
You might be interested in
How do you solve x 1/2 power + 2
nirvana33 [79]
It probably is 2 1/4 because 1/2 to the second power is 1/4 then added to 2 will be 2 1/4. Hope this helps! Good Luck with your homework!!!
8 0
3 years ago
What is the solution to the proportion?  8/4=11/M Answers: A. M=3 B. M=5.5 C. M=7 D. M=22
leonid [27]
Find their lcm  which is 4m then multiply
8m=44
m=44/8 or 5.5

3 0
3 years ago
The angular velocity of a fan blade is 6.2 radians per second.
MA_775_DIABLO [31]

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

Angular velocity(rad/s)

× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

8 0
3 years ago
Whats the absolute value of 2x-8
quester [9]
The answer to this equation would be x=4. Is that what u were asking?
6 0
3 years ago
I need this for sis!:D I will give thanks!
Rzqust [24]
I do believe that it is the second one I’m not 100% sure but I’m pretty sure it is
7 0
3 years ago
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