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kogti [31]
3 years ago
5

Morgan is trying to complete the square. What number should she put in the blank?

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

C. 81

Step-by-step explanation:

x^2-18x+81

(x-9)(x-9)

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Find irrational number between 5, 25 and 5, 26​
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Answer:

The answer is 2.5135145

Step-by-step explanation:

  • The irrational number between 5,25 and 5,26
  • 2.5135145...
  • The number is non-terminating and non-recurring. Hence, it is an irrational number.
  • A real number that cannot be expressed as a simple fraction is called an irrational number.
  • It is impossible to express in terms of a ratio.
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Please help me with these. These are so hard.<br><br>​
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\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{a^6+b^6}\implies a^{2\cdot 3}+b^{2\cdot 3}\implies (a^2)^3+(b^2)^3 \\[2em] [a^2+b^2] [(a^2)^2-a^2b^2+(b^2)^2]\implies \boxed{(a^2+b^2)(a^4-a^2b^2+b^4)}

about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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Step-by-step explanation:

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Where is the opposite of −10 located on a number line? A) to the left of 0 B) to the right of 0 C) to the right of 12 D) to the
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the opposite of -10 would be 10 and out of all the answer choices the number 10 only fits into B.

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