Solve the equation for y-value and choose whether it is a direct variation or inverse variation. xy=7

a) y=7/x direct variation
b) y=x/7 direct variation
c) y=x/7 inverse variation
d) y=7/x inverse variation

Given:

The equation is .

To find:

Whether the given equation is a direct variation or inverse variable.

Solution:

Direct variation: y is directly proportional to x.

Inverse variation: y is inversely proportional to x.

Where, k is the constant of proportionality.

We have,

Divide both sides by x.

It is in the form of inverse variation.

Since and it is inverse variation, therefore the correct option is (d).

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.