Points A, B and C are collinear. Point B is between A and C. Find x if AC=20, BC=x-19 and AB=x+17.
1 answer:
You might be interested in
I added a screenshot with the complete question.
Answer:
5 hours
Explanation:
We are given that:
Revenue equation:
y = 420 + 72x
Overhead equation:
24x² + 180
We are asked to get the break-even point which is calculated by equating the revenue to the overhead cost.
This can be done as follows:
revenue = overhead cost
420 + 72x = 24x² + 180
24x² + 180 - 420 - 72x = 0
24x² - 72x -240 = 0
(x-5)(x+2) = 0
either: x-5=0 ..........> x = 5 hours (accepted value)
or: x+2=0 .......> x = -2 hours (rejected value as time cannot be negative)
Based on the above:
break-even occurs at 5 hours
Hope this helps :)
Answer:
5 hours
Explanation:
We are given that:
Revenue equation:
y = 420 + 72x
Overhead equation:
24x² + 180
We are asked to get the break-even point which is calculated by equating the revenue to the overhead cost.
This can be done as follows:
revenue = overhead cost
420 + 72x = 24x² + 180
24x² + 180 - 420 - 72x = 0
24x² - 72x -240 = 0
(x-5)(x+2) = 0
either: x-5=0 ..........> x = 5 hours (accepted value)
or: x+2=0 .......> x = -2 hours (rejected value as time cannot be negative)
Based on the above:
break-even occurs at 5 hours
Hope this helps :)
Answer:
96 units.
Step-by-step explanation:
Let a, b represent legs and c represent hypotenuse of the given right triangle.
We are told that in the given triangle all side lengths are all integer multiples of 8. Using Pythagoras theorem, we can represent this information in an equation as:
Upon dividing both sides by by 64, we will get:
We know that smallest Pythagoras triplet is such that .
Since all sides are multiple of 8, so the smallest possible perimeter would be .
Therefore, the smallest possible perimeter of such a triangle would be 96 units.