Find the distance between the lines with equations 7x-2y-2=0 and y=7/2x-10?
1 answer:
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Step-by-step explanation:
So, assuming that x would be the number of miles towed, this word problem gives us two linear equations:
One for Brook's Body Shop, which is y = 3x + 25
And one for Morgan Motors, which is y = 5x
We see that these two lines intersect at the point (12.5, 62.5). Remember that the x-value stands for the number of miles. So, at 12.5 miles, both companies charge the same rate.
This means that Morgan Motors is cheaper for any number of miles less than 12.5. In contrast, Brook's Body Shop is cheaper for any number of miles more than 12.5.
In conclusion, if you had to be towed less than 12.5 miles, you should go to Morgan Motors because they are cheaper for short distances. If you had to be towed more than 12.5 miles, you should go to Brook's Body Shop because they are cheaper for longer distances.
Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore: