Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Answer:
B
Step-by-step explanation:
So for the first square we Have ab*a
When you multiply variables then you add up their powers so b^1a^1+a^1= (a^2)(b^1)
Second box is -3 * a which is equal to -3a
third box is 2b * ab = 2ab^2
fourth box is -3 *2b = -6b
Answer:
The goal of solving two-step equations is to isolate the variable (get it by itself) and solve for the value using the following steps:
1. Add or subtract the constant term from both sides of the equation.
2. Multiply or divide the coefficient from both sides of the equation.
Step-by-step explanation:
Solving equations means using inverse (opposite) operations.
subtraction - addition
multiplication - division
In order to get the variable by itself, you need to first get rid of the constant (the number by itself) by adding or subtracting from both sides of the equal sign. Then, you multiply or divide by the coefficient of the variable to solve for the variable.
*See included picture.
Answer:
The surface area is approx. 1017.9 in^2.
Step-by-step explanation:
Total surface area of cone = πrl + πr^2. Since the radius is 12 in. and the slant height is 15 in, substitute 12 for r and 15 for l.
A = π(12)(15) + π(12)^2
= 180π + 144π
= 324π in^2
≈ 1017.9 in^2
Hope this helps!
