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timama [110]
3 years ago
12

One number is 6 more than another. the difference between their squares is 192. what is the numbers?

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0
Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192

expanding we get;

x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13

the numbers are 13 and 19.

hope this helps, God bless!
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Step-by-step explanation:

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n200080 [17]

Answer:

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3 years ago
A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up
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Solution:

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8 0
3 years ago
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n200080 [17]
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2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is <span>2 x 2 = 4
</span>
2. <span>Make the denominators the same as the LCD

</span>\frac{1 x 2}{2 x 2} -  \frac{3}{4}
<span>
3. </span><span>Simplify. Denominators are now the same.

</span>\frac{2}{4} - \frac{3}{4}

4. Join the denominators

\frac{2-3}{4}

5. <span>Simplify

</span>-\frac{1}{4}
<span>
Done! :) </span><span>Decimal Form: -0.25</span>
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3 years ago
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