Use complete sentences to describe how you can use inverse relationships to determine points on a hyperbola.

all is appreciated (:

The set of points that form a hyperbola are inversely related.

Two variables, A and B are inversely proportional if A is equal to a constant, K, divided by B, i.e. A = K/ B. That, of course is equivalent that B = K/A, which means that if the two variables are inversely related, A in inverselty proportional to A and B is inversely proportional to A, with the same inverse proportion constat.

Then, if you have two points of the hyperpola, you can find the constant of proportion K, by using K = A*B.

Once you have the constat K, you can find all the points of the hyperbola by plugging any value of B' to determine A, by doing A' = K / B'.

If you know that the points 4 and 12 are inversely related, you find the constant k , by doing k = 4-12 = 48, and now you can generate the points of the parabola by doing>

A = 48/B or B = A/48

So, using A = 48/B, you can find all the values of A for any value of B and those points form a hyperboly.

B              A
1              48/1 = 48
2              48/2 = 24
3              48/3 = 16
4              48/4 = 12

-1                -48
-2                -24
-3                -16
-4                -12

Draw those points in a coordinate system and you will see a hyperbola.

quantities that are inversely related

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)