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dmitriy555 [2]
2 years ago
15

May I ples have a little help pless Simplify using the laws of exponents [2^4/2^ 3]^5

Mathematics
1 answer:
xxMikexx [17]2 years ago
5 0

\left[\dfrac{2^4}{2^3} \right]^5  \\\\\\=[2^{4-3}]^5\\\\=[2^1]^5\\\\=2^5\\\\=32

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Write x2 - 2x + 5 = 0 in vertex form. (Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)
Drupady [299]
To write the given quadratic equation to its vertex form, we first form a perfect square.
 
                x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
                x² - 2x = -5
Complete the square in the left side of the equation,
              x² - 2x + (-2/1(2))² = -5 + (-2/1(2))² 
Performed the operation,
                x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
               (x - 1)² = -4

Thus, the vertex form of the equation is,
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3 years ago
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ludmilkaskok [199]

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7 0
3 years ago
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Converting a fraction to decimal
r-ruslan [8.4K]

Answer:

All of them? Pls reply if so!

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7 0
3 years ago
How can a ratio's number can be changed without changing the ratio itself
eimsori [14]
<h2>Answer:</h2>

The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely a \ and \ b, so the ratio can be written as:

r=\frac{a}{b}

If we can change this number without changing the ration we need to multiply  both the numerator and the denominator by the same number. For instance, if we have the following ratio:

r=\frac{2}{3}

We can multiply both the numerator and denominator, say, by 7. Then:

r=\frac{7\times 2}{7 \times 3}=\frac{14}{21}

As you can see, the ratio's number has changed but without changing the ratio itself because:

\frac{2}{3}=\frac{14}{21}

8 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form. ​
Anettt [7]

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3 0
2 years ago
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