Given that the formula of a sphere is <span><span>V = 4/3 π r³
</span>Your answer would be 268.083 in.</span><span>³</span>
First, we can expand the terms on the right side of the equation:
y
−
10
=
2
(
x
−
8
)
y
−
10
=
(
2
×
x
)
−
(
2
×
8
)
y
−
10
=
2
x
−
16
Next, we can add
10
and subtract
2
x
from each side of the equation:
−
2
x
+
y
−
10
+
10
=
−
2
x
+
2
x
−
16
+
10
−
2
x
+
y
−
0
=
0
−
6
−
2
x
+
y
=
−
6
Now, multiply each side of the equation by
−
1
−
1
(
−
2
x
+
y
)
=
−
1
×
−
6
(
−
1
×
−
2
x
)
+
(
−
1
×
y
)
=
6
2
x
+
(
−
y
)
=
6
or
2
x
−
y
=
6
Given that the length's of the secant's are equal, it implies that the distance of a perpendicular bisector from the secant to the center of the circle will also be the same. This implies that the value of x will be given by:
x=16
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Answer: 
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Given: 
Find: 
Solution: We know that a is greater than b and we also know that we are going to be adding c to both sides which means that both sides would increase by the same amount. Therefore a + c would still be greater than b + c giving us the expression of a + c > b + c.