Answer:
Option (3)
Step-by-step explanation:
Area of a circle is given by the formula,
Area = πr²
Here, r = radius of the circle
Since, radius of the circular trampoline = 8 feet
Area of the cover required for the circular trampoline = π(8)²
= 64π square feet
Therefore, Option (3) will be the answer.
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
Answer:
The standard form would be -3x + y = 8
Step-by-step explanation:
To find this, start with point-slope form and then solve for the constant.
y - y1 = m(x - x1)
y - 5 = 3(x - 1)
y - 5 = 3x - 3
-3x + y - 5 = 3
-3x + y = 8
