<h2>
The Pythagorean Theorem</h2>
The Pythagorean Theorem: 
- <em>a</em> and <em>b</em> are the two legs in a right triangle
- <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
- <em>*keep in mind that this theorem applies only to right triangles</em>
<h2>Solving the Question</h2>
We're given:
- Legs = 9 units and 12 units
- Hypotenuse = <em>c</em>
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Plug these measurements into the Pythagorean theorem:
⇒ Combine like terms:
<h2>Answer</h2>
Answer:
the answer is x + 9
Step-by-step explanation:
3 times x equals 3x and 3 times 3 equals 9 -2X
you need to add like terms together
3x+2x=5x
and then 9 is by itself
so x+ 9 is the answer
hope this helps :-)
Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
Answer:
11.5758369028
Step-by-step explanation:
