Answer:
Surface Area is 56π cm²
Step-by-step explanation:
The area for a cylinder's surface area is
a=2πrh+2πr²
The cylinder base's radius is 4 cm
The cylinder's height is 3 cm
Putting into the equation:
a=2×π×4×3+2×π×4²
a=2π×4×3+2×π×4²
a=8π×3+2×π×4²
a=24π+2×π×4²
a=24π+2×π×16
a=24π+2π×16
a=24π+32π
a=56π
The surface area of the cylinder is 56π cm².
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
All of the expressions
Step-by-step explanation:
A rational number is one that can be written as a ratio, or a number with a terminating decimal.
All of the expressions are whole numbers, so they are all rational.
I don't understand the question, could you please re-word it and if I know it I will give u the answer
