Direct variation is y = kx
Inverse variation is y = k/y
if z varies directly with x, then the equation would be z = kx
if z varies inversely with y^2 then the equation would be z = k/y^2. Combining, these two, we have z = kx/y^2
We use the first set of values to find the constant k:
x = 2, y = 5, z = 8:
8 = 2x/25, k = 100. Now we use the second set of values to find z:
x = 4, y = 9, k = 100 and z is unknown:
z = (4X100)/9^2
z = 400/81--> this is your final final answer.
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You would need to make them eliminate so I would multiply the entire first one by 2.5 to make the X's cancel out. So you would end up with -5X+7.5Y=17.5. The X's would cancel and you would be left with 15.5Y=15.5. So Y=1. Then replace Y into one of the equations. I'm going to use the top again. -2X+3(1)=7. Subtract 3 from both sides to get -2x=4. Divide both sides by negative 2 to get X=-2. So the solution would be (-2,1)
Answer:
38
Step-by-step explanation:
38
Remark
When talking about straight lines, D is never true. Never.
C is possible, but in this case not true. Read on.
B. Might be true but in this case it is not. The lines (to be parallel) have to have the same number in front of the x. These two lines do when you divide through by 5. But the y intercept has to be different. That is not so in this case. So B is incorrect.
A is your answer. If you divide through by 5 on the second one, you get the first one. They are identical.