Answer:
2
Step-by-step explanation:
Answer:

Step-by-step explanation:
Cos is Adjacent over Hypotenuse, (see picture below)
x/xsqrt(2)
1/sqrt(2)
sqrt(2)/2
Answer: (a) x = -1
Step-by-step explanation:
<u>Given</u>
x - 8 = - 9
<u>Add 8 on both sides to isolate x</u>
x - 8 + 8 = - 9 + 8

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Answer:
The point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Step-by-step explanation:
Given equations:
1) 
2) 
To find the point of intersection, we need to solve the given system of equations.
In order to solve the system we will use substitution method.
We will substitute value of
from first equation in the second equation and solve for 
So, we have

Multiplying both sides by 2 to remove fraction.

Using distribution.

Subtracting both sides by


Adding 4 to both sides.


Dividing both sides by 7.


We can find value of
by plugging in
in the first equation.



So, the point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Compairing g(x) with f(x), we can write:
To get g(x) f(x) is:
1) Multiplied by -1.
This implies the f(x) is reflected over x-axis
2) Addition of 4 to x
This implies f(x) is shifted 4 units to left
3) Subtraction of 2 to function value.
This implies f(x) is shifted down by 2 units.
So, we can write g(x) as:
g(x) = -f(x+4) - 2
So, the correct answer to this question is option A.
Shift 4 units left, reflect over x axis and shift 2 units down