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
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Answer: First Option
<em>The points have the same x-coordinate value.</em>
Step-by-step explanation:
By definition, a relation is considered a function if and only if for each input value x there exists <u><em>only one </em></u>output value y.
So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.
For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.
The line will be parallel to the y axis.
Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.
There <u><em>are two output</em></u><em> </em>values (y = 8, y = 5) for the same input value x = 2.
In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.
<u>Then the correct option is:
</u>
<em>The points have the same x-coordinate value.</em>
Answer:
4/3
Step-by-step explanation:
3y=4x-12
divide by 3 to isolate y
y=4/3x-4
slope is 4/3
