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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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Answer:

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Step-by-step explanation:

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The other line parallel to this must also be horizontal and , as it passes through the point (1 , -4), must also pass through the y-axis at  ( 0, -4). The equation of this line is y = -4.

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Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest
jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

=> 0.08x+0.18y=4500

or getting rid of the decimal by multiplying by 100 on both sides.

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x = 30000-21000

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