Surface Area of the cylinder is 6x² + 83x - 58 cm²
Step-by-step explanation:
- Step 1: Given surface area of the cylinder, A = 23r + 2rh. Here, r = (3x - 2) and h = (x + 3)
⇒ A = 23(3x - 2) + 2(3x - 2)(x + 3)
⇒ A = 69x - 46 + (6x² + 18x - 4x - 12)
⇒ A = 6x² + 83x - 58 cm²
For a triangle, there is a proven inequality<span> that states that</span><span>, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side
21 + 37 >= 15
58 >= 15
21 + 15 >= 37
36 >= 37
37 + 15 >= 21
52 >= 21
We can see that the second inequality doesn't comply, thus there is not such triangle.</span>
The correct answer when you plug in x and y values is -32 however that answer is not there . Perhaps they only wanted it before combining all like terms ? So again it really should be -32 , but if force yo pick
an answer from the choices I would pick -16
Answer:
option c
x + 4 = 64
and
option e
x = 60
Step-by-step explanation:
Given in the question an expression
3∛x+4 = 12
∛x + 4 = 12/3
∛x + 4 = 4
Take cube on both sides of the equation
∛(x + 4)³ = 4³
x + 4 = 64
x = 64 - 4
x = 60
Answer:
The vertex is (0, 0).
Step-by-step explanation:
Check out the parent function: y = x^2. The graph is a parabola whose vertex is (0, 0) and which opens upward.
Then y = -x^2 is the same but opens downward. The vertex is (0, 0).