Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? F(x)=-2x-1
2 answers:
<h2>Answer:</h2>
The correct statement is:
- The function f(x) has a higher y-intercept.
We know that the general form of a slope intercept form of a line is given by:
where m is the slope of the line and c is the y-intercept of a line.
The function f(x) is given by:
Hence, on comparing the function to the slope-intercept form of a line we get
The y-intercept of function f(x) is: -1
Also, the table for the function g(x) is given by:
x g(x)
2 2
4 6
6 10
The function g(x) satisfies the equation:
The y-intercept of the function g(x) is: -2
Since we know that:
-1 > -2
This means that the y-intercept of the function f(x) is higher than the y-intercept of the function g(x).
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Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
Thus,
The area of the shaded sector is 69.81 sq. meters.