<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>
To factor the trinomial, you can use the ac method where you multiply the first and last terms together (6 and 9) and add up to 15.
In this case ac= 54
2 numbers that multiply to 54 and add up to 15 would be 6 and 9 so place these numbers where the 15 would be:
Then group terms to simplify:
Simplify any like terms:
And group together again:
You can simplify a 3 out of the first expression one more time to get:
Which would be the factored form. I hope this helps :)
Answer:
It is not a solution
Step-by-step explanation:
Plug the point into the equations and check to see if they are true
y=3x - 3
3 = 3(6) -3
3 = 18-3
3 = 15
False
We do not need to check the other equation since this is false
Answer:
x = 4
Step-by-step explanation:
Step-by-step explanation:
A transformation(s) of a parent function is
where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is
First, we stretched this by 7
so we have
We need to shift this 12 units to the left so we have
We need to reflect this across x axis so we get
We need to shift this downwards 15 so we get
or because tan is a odd function you could say
