Answer:
4
Step-by-step explanation:
C1= 2π*8= 16π
C2= 2π*2= 4π
C1/C2= 16π/4π= 4
Answer:
16, sqrt 256
Step-by-step explanation:
Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
<h3>
Answer: B. Yes, d = 3</h3>
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Explanation:
d = common difference, which is what we add on each time to get the next term
In this case, d = 3 means we add 3 each time to generate each new term
- -11+3 = -8
- -8+3 = -5
- -5+3 = -2
- -2+3 = 1
This pattern continues on forever.
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Another way to see that d = 3 is to notice this is the difference between any two adjacent terms.
- d = term2 - term1 = -8 - (-11) = -8 + 11 = 3
- d = term3 - term2 = -5 - (-8) = -5 + 8 = 3
- d = term4 - term3 = -2 - (-5) = -2+5 = 3
- d = term5 - term4 = 1 - (-2) = 1 + 2 = 3
Each gap is 3 units wide, which helps us see we have an arithmetic sequence.
A sequence like {-11,-8,-5,-2,2} is not arithmetic because the gap between the terms of -11,-8,-5,-2 is 3, but the gap from -2 to 2 is not 3. So the gap must stay the same the entire time to get an arithmetic sequence.