Which of the following are limitations of range? Select all that apply.
2 answers:
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Answer:
about 32.71 feet
Step-by-step explanation:
see attached picture
Answer:
the approximate area of this circle is 200.96 inches long.
Step-by-step explanation:
To answer this problem we need to remember that the area of a circle is given by the formula:
Area = π where r is the radius.
and the perimeter is:
Perimeter = 2πr
Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.
Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.
Perimeter = 2πr
50.24=2(3.14)r
50.24= 6.28r
50.24/6.28= r
8= r
Thus, the radius of the circle is 8 inches long.
Now, we can use this value to find the area of the circle:
Area = π
Area = π
Area = 3.14 (64)
Area = 200.96
Therefore, the approximate area of this circle is 200.96 inches long.
now, if you set y to 0, so you can solve for "x", you'll notice, you'll get 7 twice, you can see it from (x-7) twice there, it has that root twice.
so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.
now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2 and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.
so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.
to find the y-intercept, simply set x = 0, let's do so
so is at 0, 24.5
the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.