15 POINT!!!!!!!!!!!!!!!!!!!! Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines
. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2. 3 one third negative one third −3
2 answers:
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Answer:
Eliminating the parameter, the equation is
Step-by-step explanation:
We are given the following parametric equations:
We want to eliminate the parameter t. From the first equation:
Replacing in the second equation:
Eliminating the parameter, the equation is
Answer:
If the sine of an angle equals to {2}/{5}, then the tangent of the angle could be:
<em>5. </em>
Step-by-step explanation:
- Imagine a triangle
- The sine of an angle is equal to the length of the opposite leg over the hypotenuse.
- <em>HINT: SOHCAHTOA</em>
<u>To find the adjacent leg (a): </u>
Using the pythagorean theorem:
- <em>a </em>and <em>b</em> are the lenght of the sides and <em>c </em>is the hypotenuse
we know one side and the hypotenuse. Therefore plugging into the formula we get:
where <em>a</em> is the adjacent leg of the triangle, solving for a we get:
<u>To find the tangent of the angle: </u>
Since tangent is opposite leg over the adjacent leg:
tan θ =