Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
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For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
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The angles depend on the size of the circle, which is not given.
You must fill in 3/4(9/12) of the rectangle with color. Leaving 1/4(3/12) not shaded in.
The property the applies only to addition and multiplication is the commutative property. It means that the numbers can be arranges in any order. so for example you will get the same answer whether you do
5+6 or 6+5
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:
In this case:
i.e.
For f(x)
Calculate f(3) and f(0)
So:
For g(x)
From the table of g(x)
So:
For h(x)
From the graph of h(x)
So:
So, the calculated rates of change are:
By comparison:
From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>
4. 1st option
5. 2nd option
