This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
Answer:
10π
Step-by-step explanation:
RULE: The angle measure of the central angle is congruent to the measure of the intercepted arc.
RULE: Central Angle = Arc length
Given:
Arc length (20 π) = central angle (180)
we know 180 degrees is a straight line, thus a semi-circle is created. This would be the diameter.
1/2 diameter is the radius. 20π/2 is the radius.
10π
Answer: -6 -2
Step-by-step explanation:
D.
Renewable resources can be replaced in a reasonable amount of time, but nonrenewable resources cannot.
Step-by-step explanation:
Nonrenewable resources can be depleted within a human lifespan while renewable resources cannot. An examp0le of a non-renewable resource is crude oil. With continuous mining of crude oil, the natural reserves will continue to decrease until it gets even harder and more expensive to find.
Renewable resources, however, are cannot be depleted since they are ever self-renewing. An example is a wind and the sun whose energy can be harnessed to provide energy to power homes and businesses.
