So your total is $6584
tution costs $704 more than room and board
you know nothing about how much the room and board cost so thats your "naked variable" so chose a variable to go in place of that. im going to coose r.
tuition($704 more than room and board): r +704
room and board(you know nothing about it): r
so add it all together you get r+704+r=your total.
sole the equation
2r +704= 6584
-704 on both sides
you get 5880 so it would come to 2r= 5880
divide by 2 on both sides
so r= 2940
r is the room and board so put 2940 in place of r in the equation you get from your variables which are r and r+704
so the final equation is 2940 +704 and your final answer is 3644
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Just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.
If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
Given:
Point P is the incenter of triangle HKM.
To find:
The measure of JP.
Solution:
In triangle MNP, using Pythagoras theorem, we get
Taking square root on both sides, we get
Side cannot be negative. So,
Point P is the incenter of triangle HKM.
[Incenter is equidistant from each side of triangle]
Therefore, the value of JP is 7 units.