If the scale factor between two circles is 7a/9b what is the ratio of their areas?

a. 49a/81b
b. 49a2/81b2
c. 81b2/49a2
d. 81b/49a

 The correct option is (B)

Step-by-step explanation:  Given that the scale factor between two circles is .

We are to find the ratio of the areas of the two circles.

Let r and R be the radii of the two circles and A and B be the corresponding areas.

We know that the scale factor is the ratio of the radii of the two circles.

So, we have

Thus, the required ratio of the areas of the two circles is

Option (B) is CORRECT.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be