Answer:
The volume of the sphere is eight times the volume of hemisphere
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> volume of the hemisphere
y-----> volume of the sphere
in this problem we have
substitute
that means------> The volume of the sphere is eight times the volume of hemisphere
Answer:
the answer is C
Step-by-step explanation:
so the answer is c
Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
The answer is = (3-2)x4 = (3-2)=1, 1x4=4
Answer:
32
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 6² - 4 = 36 - 4 = 32
