The common difference is 12
Further explanation:
It is given that the infinite sequence is an arithmetic sequence
The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The common difference is denoted by d.
Here,

The common difference is same for all proceeding terms.
So,
d = 12
Keywords: Infinite arithmetic sequence, Common difference
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Answer:
first one: <u>3</u>
second one: <u>b</u>
third one: <u>3.2</u>
Step-by-step explanation:
first one:
21 x ________ ÷ 3 = 21
rewrite equation:
21 ÷ 3 x ___ = 21
7 x ___ = 21
(21 / 7 = 3)
7 x 3 = 21
second one:
b x h ÷ h = ___
B
third one:
876 x 3.2 ÷ ______ = 876
2803.2 ÷ ___ = 876
(2803.2 / 876 = 3.2)
2803.2 x 3.2 = 876
Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k = 
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k = 
k = 3
For R = 6 and R = 18
k = 
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.
Their selling price was 2.45 times the price they bought it. If they split the profit evenly and there was two of them, multiply their profit by two and divide that number by 800 to find how much more they sold it for, so they sold it for 245% more than they bought it
Answer:
(x+3)^2 +(y-5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 +(y-5)^2 = 6^2
(x+3)^2 +(y-5)^2 = 36