Write the set of points from -6 to 0 but excluding -4 and 0 as a union of intervals
First we take the interval -6 to 0. In that -4 and 0 are excluded.
So we split the interval -6 to 0.
Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.
Interval becomes [-6,-4) . It says -6 included but -4 excluded.
Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets
(-4,0)
Now we take union of both intervals
[-6,-4) U (-4,0) --- Interval from -6 to 0 but excluding -4 and 0
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.
I think 1 is the only common factor of both 0.20 and 215 but I'm not 100% certain
