Answer: THE ANSWER IS D. Everything else is negative.
Step-by-step explanation:
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(2^3)=2*2*2=8
(2^-7)=1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/128
8*1/128=1/16=.0625
Answer:
(x+3)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
Follow the standard form of a circle, (x-h)^2 + (y-k)^2 = r^2, given that (-3,7) is (h,k) and 2 is r.
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Answer:
r = 0
r = -7
Step-by-step explanation:
There is no x in the equation, hence there are no x-intercepts.
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If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.
The factors are r and (r+7).
The factor r is zero when ...
r = 0
The factor (r+7) is zero when ...
r +7 = 0 ⇒ r = -7
The "x-intercepts" are r=0 and r=-7.
The given sequence is
a₁, a₂, ...,

Because the given sequence is an arithmetic progression (AP), the equation satisfied is

where
d = the common difference.
The common difference may be determined as
d = a₂ - a₁
The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..
The sum of the first n terms is

Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100