Answer:
x=4.5
Step-by-step explanation:
Using sohcahtoa we know tangent is equal to (length of side opposite to the angle ) / (lenth of side adjacent to the angle)
therefore: tan (theta) = (x-3) / (x) = 1 / 3
now cross multiply
3(x-3) = x
now solve for x
3x - 9 = x
-9= -2x
x= 4.5
<span>
Over the y-axis
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<span>(x, y) → (−x, y) so ( -5, -3)</span>
Given:
The recursive formulae are:
(a)
(b)
To find:
The explicit equation.
Solution:
A recursive formula of an arithmetic sequence is
and f(1) is the first term.
Where, d is the common difference.
The explicit formula is
where, a is first term and d is common difference.
(a)
We have,
Here, first term is 8 and common difference is -2. So, the explicit formula is
Therefore, the explicit formula is .
(b)
We have,
Here, first term is 0 and common difference is 5. So, the explicit formula is
Therefore, the explicit formula is .
Answer:
the slope of line a is 3 and the slope of line b is -1. the slope of line a is greater than the slope of line b