<span>The
graph of y against x in inverse proportion is a rectangular hyperbola
but I don't see at all how this knowledge/observation is any help in
solving the problem.
Inverse proportion means that as x doubles y will halve and the equation
is xy = k where k is some number. A good example of inverse proportion
is speed and time taken over some fixed distance. In this case x could
represent the speed (mph) and y the time (h) and then k is the distance
in miles.
Since we know y=3 when x=2 we have xy = 6. Now it's easy to see when x=6 y=1.</span>
Answer:
763/100 is the answer to this
Answer:
8
miles or 25.133 miles
Step-by-step explanation:
your radius is 4 miles.
The area of a circle is A= 
Therefore, the area of this circle is 
, or 16
Half of this area, because what you're looking for is a semi-circle, is:
8 (exact) or 25.133 (rounded) miles.
Answer:
(2,10) or x=2 y=10
Step-by-step explanation:
<em>1. Pick one of your equations and solve for a variable. I chose the first equation and solved for x.</em>
5x-2y=-10 (Move the -2y to the other side, you need to do the opposite so you add +2y to -10)
5x=2y-10 (Divide the 5 from the x)
x=2/5y-2
<em>2. Now take what you got for x and plug it into the x variable on the other equation.</em>
3(2/5y-2)+6y=66 (Multiply 3 by 2/5y and -2)
6/5y-6=6y=66 (Move the -6 to the other side and add 6/5y to 6y)
36/5y=72 (Since the number on the y is a fraction, you must do the opposite to the other side)
y=72/1 x 5/36 (Flip your fraction and multiply it by the 72)
y=10
<em>3. Now that you have one of the variables solved for, in order to get the other we must plug in what we have to the first equation.</em>
5x-2(10)=-10 (Multiple 2 by 10)
5x-20=-10 (Move -20 to the other side, since you do the opposite add +20 to the -10)
5x=10 ( Divide 10 by 5)
x= 2
<em>4. If needed, plug in the values of x and y to check your solution.</em>
Hope this could help! :)
