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3 years ago

What's an equivalent expression for 8 to the third power times 8 to the 7th power?

Mathematics

1 answer:

Nataliya [291]3 years ago

3 0

8^3 * 8^7 = 8^(3+7) = 8^10

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Prove

Dennis_Churaev [7]

$\frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\$

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$\frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } =$

$\frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } =$

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As you know :

${sin}^{2} (a) + {cos}^{2} (a) = 1$

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$\frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } =$

$\frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } =$

$\frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } =$

$\frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } =$

$\frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\$

$\frac{ \sin(a) + 1}{ \cos(a) } \\$

And we're done...

Take care ♡♡♡♡♡

6 0

2 years ago

What does 8x power of 2 equals

jolli1 [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

29/5 divided by nine and a half

trapecia [35]

29/5 is 5.8 5.8 dividen by 9 1/2 is 0.61052631578

Hope this helps! Have a great day!!!

3 0

3 years ago

Which graph represents the solution to the given system? y=5x+4; y=5x-3

Mars2501 [29]

Hello from MrBillDoesMath!

Answer:

The lines do not intersect

Discussion:

Where do the lines intersect?

5x + 4 = 5x - 3 => subtract 5x from both sides

4 = -3 => NO WAY! The lines do not intersect

Thank you,

MrB

3 0

4 years ago

Can someone help me asap !!?

denis23 [38]

C. 4
Because the rule of the graph is $1.50 per pound of apple, so you have to divide $6.00 by $1.50 and that gives you the answer.
I hope I helped
Please make me brainliest

5 0

4 years ago