The pythagorean theorem says that a² + b² = c²
You're given the b and the c so substitute the values in: a² + 12² = 15²
a² + 144 = 225; subtract 144 from both sides
a² = 81; square root each side
a = 9, or choice C
Answer:
Option d
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
then the graph is compressed vertically by a factor c.
If 
then the graph is stretched vertically by a factor c.
If 
then the graph is reflected on the x axis.
If 
the graph moves vertically upwards.
If 
the graph moves vertically down
In this problem we have the function 
and our parent function is 
therefore it is true that 
and 
Therefore the graph of 
is not stretched vertically and is not reflected. however as then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
Answer:
w=2 w = -9
Step-by-step explanation:
w^2 + 7w - 18 = 0
We can factor this equation
What 2 numbers multiply to -18 and add to 7
9*-2 = -18
9+-2 = 7
(w-2) (w+9) = 0
Using the zero product property
w-2 = 0 w+9 =0
w=2 w = -9
Answer:
I would like to say A because Diagonals of a rectangle Bisect each other at a right angle.
This seems likely
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Hope this Helps
