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lana [24]
3 years ago
13

Which of the following numbers is not a perfect square? 24 25 64 100

Mathematics
2 answers:
stich3 [128]3 years ago
8 0
Hi! 

A perfect square is the product of when a whole number is multiplied by itself

Ex:

6 × 6 = 36, 36 is the perfect square. 

The number that is being multiplied is the square root. 

So to find the correct answer for this question, let's use the process of elimination. 

100 = 10 × 10 so we can cross out 100

64 = 8 × 8 so we can cross out 64

25 = 5 × 5 so we can cross out 25

Now all we have left is 24, which is not a perfect square. 

Answer: A. 24

Hope this helps :)
baherus [9]3 years ago
5 0
5x5=25 8x8=64 and 10x10=100. 24 is your answer because there is not 2 of the same numbers times themselves to eaqual 24
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4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

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3 years ago
Um........ Help? With step by step explanation ​
Elina [12.6K]

Answer:

$7.50

Step-by-step explanation:

15% of 50=7.5

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GREYUIT [131]

Answer:(-1.412,-2.124),(3.29,7.28)

Step-by-step explanation:

Given

The given equation is 2^x-2.5=2x+0.7

There are two functions i.e. y=2^x-2.5\ \text{and}\ y=2x+0.7

Their intersection gives the solution of the above function

From the graph, we can see that both the graph intersects at two different points i.e.  at

(-1.412,-2.124)\ \text{and}\ (3.29,7.28)

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Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

x+5y=-2\\x+5y=4

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so

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Is a inconsistent system

Part 2) we have

y=3x+4\\-2x+y=4

we know that

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so

The lines intersect at one point

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Is a consistent independent system

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Compare equation B and equation C

Are identical lines

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The system has infinity solutions

therefore

Is a consistent dependent system

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