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jonny [76]
3 years ago
11

Prove that the square of an odd number is always 1 more than a multiple of 4

Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

{3}^{2}  = 9

8 is a multiple of 4, and 9 is more than 8.

{11}^{2}  = 121

120 is a multiple of 4 and 121 is one more than it.

{25}^{2}  = 625

624 is a multiple of 4 and 625 is one more than it.

{37}^{2}  = 1369

1368 is a multiple of 4 and 1369 is one more than 1368.

{131}^{2}  = 17161

17160 is a multiple of 4.

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monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star
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Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

\text{One gallon is equivalent to 3785 } cm^3

Therefore: \text{10 gallon= 3785X 10 =37850 } cm^3

Therefore, Volume of the lemonade Monica Started with is \text{37850 } cm^3

The diameter of the cup =8cm

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Height of the Cup =11cm

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3 years ago
What is the slope of the equation: x = -2
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-7(y-1)= 21<br><br> Show how you answered the question step by step.
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Step-by-step explanation:

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