The reflection is written as:

And the graph can be seen below.
<h3>
How to get the graph of the reflection?</h3>
Here we have the function:

A reflection across the x-axis is given by:

Then, replacing the function f(x) by the actual equation:

The graph of the function g(x) can be seen below:
If you want to learn more about reflections:
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Answer: x =5.5
x+3=8.5
subtract “-3” from both sides
x = 5.5
Answer: A) none of the equations are identities
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Part 1
Plug in theta = 0
sin(theta+pi/2) - cos(theta+pi/6) = 2*cos(theta) - sin(theta)
sin(0+pi/2) - cos(0+pi/6) = 2*cos(0) - sin(0)
1 - sqrt(3)/2 = 2*1 - 0
0.13 = 2
which is a false equation
So we do not have an identity in equation 1.
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Part 2
Plug in theta = 0
sin(theta+pi/6) + cos(theta+pi/3) = (sqrt(2)/3)*sin(theta) + 2*cos(theta)
sin(0+pi/6) + cos(0+pi/3) = (sqrt(2)/3)*sin(0) + 2*cos(0)
1/2 + 1/2 = 0 + 2
1 = 2
which is also false
This is not an identity either.
Answer:
<em>2.35 hrs</em>
If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm
Step-by-step explanation:
distance traveled = 94 miles
cruise speed = 40 mph
time taken = ?
time taken = distance/speed = 94/40 = 2.35 hours
2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min
If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm