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snow_tiger [21]
2 years ago
7

Write 75 as a product of prime factors​

Mathematics
2 answers:
ruslelena [56]2 years ago
8 0
75 as a product of prime factors

75= 3x5^2
Inga [223]2 years ago
3 0

<em>75 = 3 x 5 x 5  or it can be written like this: 75 = 3 x 5 squared</em>

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The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to
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We have to solve this quadratic equation n^{2}+n=56 for n to get <em>which figure has 56 blocks</em>.

n^{2}+n=56\\n^{2}+n-56=0

For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>

<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>

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<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>

Our answer is 7.


ANSWER: The 7th figure has 56 blocks.


3 0
3 years ago
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