There are 15 girls and 14 boys in an English class. The teacher is drawing names from a hat at random to set up teams of four st
2 answers:
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Answer:
(a). Assuming consumption is only dependent upon miles driven, the function is defined as :
Amount of gas left after driving x miles :
(b). The y-intercept is obviously 10. This represents the initial gas in the tank, 10 gallons.
(c). The x-intercept is the solution to
The x-intercept is 250. It represents the "distance taken by car to empty the tank".
We have the following parameters
the general equation of a circle with center (0,0) is the following,
Let's use the following tigonometric identity,
solving for cos and sin in the equations we are given,
replace,
Since we have two different numbers in the denominator, this is not a circle equation but an elipse, of the form,
where,
a is the vertex and,
b is the covertex
thus, in the x axis, the vertex is 7 and the y-axis the covertex is 5
Now, let's determine the direction by replacing
when Θ = 0 , then x = 7*cos0 = 7*1 = 7 , and y = 5*sin0 = 5*0 = 0
when Θ = 90° or π/2 , then x = 7*cos90° = 7*0 = 0 , and y = 5sin90° = 5*1 = 5
If we draw this, we can see that the direction is counterclockwise as in the bottom right image.
