In the given figure, find the value of x.

  11.  x = 8

  12.  x = 15

  13.  x = 9

Step-by-step explanation:

This statement of the applicable relation is perhaps a little different than the one(s) you may have seen: From the point where the segments meet, the product of the length of segment to one side of the circle and the length of segment to the other side of the circle is the same for both segments. When the segment is tangent to the circle, those two circle intersection points are the same point.

This rule is applicable for all of these problems. Once the relation is written, the equation can be divided by the coefficient of x to find the value of x.

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  12·4 = 6x

  x = 48/6 = 8

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  x·x = 9·(16+9)

  x = √(9·25) = 15 . . . . take the square root

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  x·16 = 8·(8+10)

  x = 144/16 = 9

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

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.