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

iragen [17]

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.
If N is irrational, it is not equal to p/q, where p and q are integers and q is not equal to 0.
Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.

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2 years ago

Please help me with these. These are so hard.<br><br>

LuckyWell [14K]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{a^6+b^6}\implies a^{2\cdot 3}+b^{2\cdot 3}\implies (a^2)^3+(b^2)^3 \\[2em] [a^2+b^2] [(a^2)^2-a^2b^2+(b^2)^2]\implies \boxed{(a^2+b^2)(a^4-a^2b^2+b^4)}$

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.

4 0

3 years ago

What does it mean if y values is the same

solong [7]

If their equal(Same amount)