Answer: C
Step-by-step explanation:
Answer:
28.26 inches
Step-by-step explanation:
The circumference of a circle is
, where d = diameter. In this case, we use pi as 3.14 and the diameter as 9.
Therefore, the answer is 28.26.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
k = 8
Step-by-step explanation:
Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.
By the roots of an equation, ax² + bx + c , where its roots are x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.
Comparing both equations, a = 3 b = 2 and c = k.
So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3
x₁ + x₂ = -2/3 and x₁x₂ = k/3
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
3x₁ + (-2x₁) = -2 and x₁(3x₂) = k
3x₁ - 2x₁ = -2 and x₁(3x₂) = k
x₁ = -2 and x₁(-2x₁) = k
x₁ = -2 and -2x₁² = k
Substituting x₁ = -2 into -2x₁² = k, we have
-2x₁² = k
-2(-2)² = k
2(4) = k
8 = k
So, k = 8
For prisms: V = Bh where B is the area of the Base of the prism and h is the height of the prism.
B = 12(20)
B = 240
Now let's substitute into:
V = Bh
4800 = 240h divide both sides by 240
20 = h
So the height of the prism is 20 cm
Answer:
A y(y+10)
Step-by-step explanation:
