Answer: 24 miles.
Step-by-step explanation:
1. You must keep on mind that, according the scale on the map, 1.5 inches represents 4 miles. Then, you can set up the following ratio:

Where x is the number of actual miles asked
2. You must solve for x, as following:

3. Therefore, 6 inches on the map represents 24 miles.
The complete equation is x^2 - 4x + (-2) = (-2)^2
<h3>How to complete the equation?</h3>
The equation is given as:
x^2 - 4x + __ = (__)^2
_____________________________
Take the coefficient of x
k = -4
Divide by 2
k/2 = -4/2
k/2 = -2
Square both sides
(k/2)^2 = (-2)^2
_____________________________
Add the result of the above computation to both sides of x^2 - 4x + __ = (__)^2
So, we have:
x^2 - 4x + (-2) = (-2)^2
Hence, the complete equation is x^2 - 4x + (-2) = (-2)^2
Read more about completing the square at:
brainly.com/question/16483306
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Answer:
(x ^ 16y ^ 22)
Step-by-step explanation:
For this case we have the following expression:
(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
Rewriting and for power properties we have:
(x ^ 18y ^ 24) / x ^ 2y ^ 2
(x ^ (18-2) y ^ (24-2))
(x ^ 16y ^ 22)