Luke earns $11.00 per hour. He works 32 1/2 hours per week. What is his weekly wage
2 answers:
You might be interested in
Answer:
Everything except 21/40. That is your ratio. The denominator always
When a set of reflections that carry a shape onto itself, it means that the final position of the shape will be the same as its original location
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
First; we test the given options, until we get the true option
<u>(a) y=x, x-axis, y=x, y-axis</u>
The rule of reflection y =x is:
The rule of reflection across the x-axis is:
So, we have:
The rule of reflection y =x is:
So, we have:
Lastly, the reflection across the y-axis is:
So, we have:
So, the overall transformation is:
Notice that, the original and final coordinates are the same.
This means that:
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
Read more about reflections at:
We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7