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mr_godi [17]
2 years ago
14

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
Leto [7]2 years ago
7 0
<h3>Answer:  2\sqrt{5}</h3>

======================================================

Explanation:

Both legs are the same length, as indicated by the tickmark.

  • a = \sqrt{10}
  • b = \sqrt{10}
  • c = x

Use the pythagorean theorem to solve for x

a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\

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Can someone please help me with this!!!
Volgvan

Step-by-step explanation:

I am not fully sure what your teacher is aiming for. it friends very much on what you were just discussing in class (which I don't know).

but the first thing coming to mind is a minus sign ("-"). squaring a negative number removed the minus and makes the result equal to squaring the same positive number.

just for the undoing the 1/2 :

that is, because a fraction as exponent specifies in its denominator the root to be calculated for the basic value or expression.

so, 1/2 means square root. and yes, square is the inverse function of a square root, and it "undoes" the square root.

in exponent calculation it just means that for exponent 1 to the power of exponent 2 we simply multiply both exponents. and so, 1/2 × 2 = 1

FYI - the numerator still represents an original "to the power of" operation.

so, e.g. 3/2 would mean put the basis to the power of 3 and then do the square root of that result. or the other way around. these operations are commutative (the sequence does not matter).

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3 years ago
The sum of the measures of the two angles of a linear pair must be...?
Rina8888 [55]

The answer is 180 degrees

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3 years ago
HELPP! <br> P(2, - 2); y = 7x+4<br> Write an equation for the line in point-slope form.
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Answer:

Step-by-step explanation:

y + 2 = 7(x - 2)

y + 2 = 7x + 14

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Give an example question ( use words and numbers)
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A 2 - - 7 = 9
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