Find the distance between the two points in simplest radical form (1,-3) and (-1,-8)

Length  =  5.3852

√29

Step-by-step explanation:

The change in x from one point to the other is 2; that in y is 5.

Use the Pythagorean Theorem to find the length of the hypotenuse (which is the desired distance):

d = √(2² + 5²) = √29

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.