V ≈206.97 cm³ is the answer to your equation.
Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
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Answer:
C: Point R
Step-by-step explanation:
Here the "centroid" corresponds to the point where the figure (the triangle) would balance. That's right in the middle, at Point R. C is the correct answer.
Answer:
The value of 
Step-by-step explanation:
Given that 
now to find
from the given functions f(x) and f'x
let 
Then put x=1 in above function we get

(from the table f(1)=3 and f(3)=6)
Therefore h(1)=6
Now to find h'(1)
Let
(since
)
put x=1 in above function we get

(From the table
and
)

Therefore 