X is inversely proportional to y. When x=3, y=27. Find x when y=9

Step-by-step explanation:

When something is inversely proportional it can be solved by using the equation:

y = k/x

where k is the constant.

So using this we can plug in x and y to find the value of k.

27= k/3

Next we isolate k and find that k = 81. Now we use this to find the value of x when y = 9. Plug in y and you get x = 81/9 or x = 9

x = 9

Step-by-step explanation:

Given that x is inversely proportional to y then the equation relating them is

x = ← k is the constant of variation

To find k use the given condition that x = 3 when y = 27, thus

3 = ( multiply both sides by 27 )

81 = k

x = ← equation of variation

When y = 9, then

x = = 9

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3