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5.83

Step-by-step explanation:

Try using the Pythagorean theorem as an adaptation of the distance formula.  Count the boxes on the graph to create a triangle using the line segment as the hypotenuse.  

5^2 + 3^2 = d^2

25 + 9 = d^2

d = 5.83

(x, y)→(x − 8, y − 7)

step-by-step explanation:

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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.