Determine whether each point is on, inside, or
outside the circle x2 + y2 = 45. Explain your
reasoning.
(6, -3)

On the circle

Step-by-step explanation:

Centre: (0,0)

Radius = sqrt(45)

Distance of (6,-3) from the centre is

Sqrt(6² + 3²) = sqrt(45)

Since the distance is equal to the radius, it's on the circle

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

47 - 90 = 43

43 - 180 = x

x = 137