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jekas [21]
3 years ago
8

Step by step explanation pls (30 points!)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

40t^4

Step-by-step explanation:

I'm guessing you have to simplify the expression so...

first, on the top of the fraction there is a 5^2 which is just 25. 25*25 = 625, so the top of the fraction bar changes to 625 * t^8

The denominator is 10^3 = 1000. this changes it to 1000 * t^4

The hard part now is to simplify this. t^8 is just t*t*t*t*t*t*t*t. similarly t^4 is just t*t*t*t

Since there are 4 t's in both the numerator and denominator, this cancels it out and changes this to

\frac{625  \cdot t^4}{1000} which simplifies to \frac{5 \cdot t^4}{8}.

To get rid of the denominator, we multiply 8/8 to the fraction to get:

8(5 \cdot t^4), which if we distribute the 8 we get: 40t^4. Which is our answer!

Hope this helps!

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Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon?
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puteri [66]

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Remember that a perfect square trinomial can be factored into the form (a+b)^2

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(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

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