A company designs spinning toys using the family of functions y = cx 4 − x 2 , where c is a positive
constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of
y = cx 4 − x
2 , for some c. Each spinning toy is in the shape of the solid generated when such a region is
revolved about the x-axis. Both x and y are measured in inches.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet