Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. If they start at the same posi
2 answers:
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The expression in radical form is
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
Given the indices
Comparing with the general formula, we will see that:
m = 3
n = 7
a =
Applying the law of indices:
Hence the expression in radical form is
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Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :
b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
Hence , this is the required solution .