Choose the ratios for sin X and cos X.
2 answers:
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Answer:
Step-by-step explanation:
This car follows a line, hence its motion can be modeled by the Line equation.
In fact, we already have two points of the line, if we call the time in hours and
the traveled distance in miles:
Point 1:
Since we are told the car's initial position is 300 miles in the time 0 h
Point 2:
Since we are told the car's final position is 180 miles after 3h
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<u>Let's find the Slope :
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This is the slope of the line
Now, the equation of the line is:
We already know the slope, now we have to find the intersection point with the y-axis () with any of the given points. Let's choose Point 1:
Isolating :
Then, the equation of the line is:
We have been given graph of a downward opening parabola with vertex at point . We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is .
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is , where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:
Divide both sides by
So our equation in vertex form would be .
Let us convert it in standard from.
Therefore, the equation of function is standard form would be .