Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10
sin ∠BOC = 0.80
tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33
The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em> - <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
<em />
Given

<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is: 
<u />
<u>The parent function</u>
We have:

First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:

So, we have:

Next, the function is shifted down by 5 units.
So, we have:


Read more about functions at:
brainly.com/question/21027387
3 i believe.because well 3 yeah
Answer:
<em>Parallel slopes</em>: two lines that has the same slopes but have different y-intercept
<em>Perpendicular slope</em>: two lines that are negative reciprocals(common) of each other
Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by
, where
is the height in feet and
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:


Then, we simplify the expression by algebraic means:

Roots of the polynomial are, respectively:

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.