Can somebody me with this. see the attachment.

48

Step-by-step explanation:

Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...

... CD +DP = (x+2) +(16-x) = 18

The radius of circle O is ..

... OC + CD = (x) + (x +2) = 2x+2

The length OP is ...

... OC + CP = (x) + (18) = x+18.

Now, the perimeter of ΔAOP is ...

... radius of circle O + radius of circle P + OP = 80

... = (2x+2) + 18 + (x+18) = 3x+38 = 80

Then x is ...

... x = (80 -38)/3 = 14

and the radius of circle O is

... 2x +2 = 2·14 +2 = 30

The desired sum is ...

... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18

... OB + BP = 48

Iimagine the answer is b.

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.