Who was the Hellenistic (Greek) mathematician who invented the compound pulley and is known for his work with the laws governing
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Answer:
Step-by-step explanation:
The equation of a circle:
<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:
Substitute the coordinates of the given points (-8, 2) and (-2, 6):
The radius:
The formula of a midpoint:
Substitute:
Finally:
Answer: If they worked together, it would take 31.5 minutes
Step-by-step explanation:
There's a certain formula for equations like this:
t1= the time it took for the first person to complete the task.
t2= the time it took for the second person to complete the task.
tb= the time it took for both of them to complete the task.
We have the values for both t1 and t2, but not for tb.
t1= 45
t2= 105
tb= x
Now it's simple algebra, and all we need to do is solve for x
The LCM for both fractions is 315, so now we multiply BOTH sides of the equation by 315.
This will simplify nicely, so now we just need to get x on the other side.