Answer:
D. The graph of g(x) is the graph of fix) translated to the left 7 units and up 9 units
Step-by-step explanation:
The transformation of f(x) to g(x) ...
g(x) = a·f(b·x -c) +d
involves ...
- vertical expansion by a factor of "a"
- horizontal compression by a factor of "b"
- translation to the right by "c" units
- translation up by "d" units
Here, you have a=b=1, c=-7, d=9, so the graph of f is translated left 7 units and up 9 units to make the graph of g.
Answer:
6 in.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The correct option is: 53.9°
<em><u>Explanation</u></em>
According to the below diagram,
is acute triangle, in which
and 
If we <u>apply cosine rule</u> here, then we will get.....

Now, plugging the given values, we will get....

So, the measure of
is 53.9°
Answer:
x=11.2
Step-by-step explanation:
So, to solve for x you have to use pythag Theorem. X is the hypotenuse
If you separate this shape into two parts, splitting the slant portion and the rectangle part. You will have a right triangle, and then you would find all the legs of the triangle.
The shorter leg, which is on the left side. Since the left side including the slanted part is 13 and we had to split the shape the shorter leg would equal 5
13-8=5.
And since the longer leg has the same length as the rectangle, which is 10. You would take both these numbers.
then, Square them and add them. So, 5x5=25
and 10x10=100
100+25=125 afterwards you find the square root.