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Elis [28]
3 years ago
7

Is 22/32 equivalent to 11/16?PLEASE I NEED HELP!!!!!!!!!!!!

Mathematics
2 answers:
Leto [7]3 years ago
6 0

Answer: Yes

Step-by-step explanation: break 22/32 in half or divide by 2 and you get a simplified version which is 11/16 because 16*2 is 32 and 11*2 is 22 so 11/16 = 22/32

saveliy_v [14]3 years ago
5 0

Hello! :)

Yes they are: 11/16 = 11(2)/16(2)= 22/32

So, they are equivalent.

I hope I answered in time!

Good luck!

~ Destiny ^_^

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marissa [1.9K]

Answer:

x = \frac{11}{7}

Step-by-step explanation:

note that 64 = 2^{6} and 32 = 2^{5} , thus

(2^{6}) ^{2x-1} = (2^{5}) ^{x+1} , that is

2^{6(2x-1)} = 2^{5(x+1)}

2^{12x-6} = 2^{5x+5}

Since the bases on both sides are equal, then equate the exponents

12x - 6 = 5x + 5 ( subtract 5x from both sides )

7x - 6 = 5 ( add 6 to both sides )

7x = 11 ( divide both sides by 7 )

x = \frac{11}{7}

8 0
3 years ago
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4 0
2 years ago
What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following
skelet666 [1.2K]

For this case we have the following expression:

x ^ 2-4x + 10 = 4x + 10

We follow the steps below:

We subtract 4x on both sides of the equation:

x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10

We subtract 10 from both sides of the equation:

x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0

Now, we must complete squares.

When we have an equation of the form:

ax ^ 2 + bx + c = 0, if we want to complete squares we must subtract c on both sides of the equation obtaining:

ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c

The square is completed by adding to both sides of the equation: (\frac{b}{2})^{2}

So, we have left:

ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}

In the given expression we have:

a = 1\\b = -8\\c = 0

And to complete the square we have:

(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16

Rewriting we have:

x ^ 2-8x + 16 = 16

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

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So, we have:

(x-4) (x-4) = 16\\(x-4) ^ 2 = 16

Answer:

The intermediate step is to complete squares

(x-4) ^ 2 = 16


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3 years ago
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Step-by-step explanation:

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