Relationship is going to work out so 72728
Z= -7
So your answer is number 2, -7
For 1:
Use pythagorean theorem because of the radius tangent theorem(point of contact = 90 degrees)
12 is the hypotenuse (the right angle points at the hypotenuse)
Therefore:
(9)^2 + (x)^2 = (12)^2
81 + x^2 = 144
Subtract 81 from both sides of the equation
x^2 = 63
Square root both sides to get rid of square on x and isolate the variable
The square root of 63 = 7.93 (roughly)
Answer: 17+3(n-1)
This simplifies to 3n+14
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Explanation:
is the first term
is the common difference, or the gap between terms. Eg: the jump from 17 to 20 is +3.
This means the nth term is...

As a check, if we tried something like n = 2, then,

which matches with the second term of the sequence your teacher gave you. I'll let you check the other terms.
If you can use a calculator, enter (4/1/4)/(4/1/2) and you will get 1/2