Answer:
Step-by-step explanation:
The area of trapezoid is given by the formula:
Where
A is the area
b_1 is base 1
b_2 is base 2, and
h is the height
Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.
The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:
Now, area of semicircle is:
Where
A is the area
r is the radius
Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:
Total area of the figure is
Answer: AB = 9
Step-by-step explanation:
Since B is the midpoint, AB and BC must be congruent (since theyre both half of the segment). The equation is:
2x + 5 = 5x - 1
This means x = 2, meaning AB is 9.
Answer: interval from -8 to 5
In interval notation, we would write [-8, 5]
The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.
The use of square brackets in interval notation says "include this endpoint as part of the interval".
Answer:
x-3y ≥ -4
Step-by-step explanation:
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