<span>Simplifying
6(x + -1) = 9(x + 2)
Reorder the terms:
6(-1 + x) = 9(x + 2)
(-1 * 6 + x * 6) = 9(x + 2)
(-6 + 6x) = 9(x + 2)
Reorder the terms:
-6 + 6x = 9(2 + x)
-6 + 6x = (2 * 9 + x * 9)
-6 + 6x = (18 + 9x)
Solving
-6 + 6x = 18 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-6 + 6x + -9x = 18 + 9x + -9x
Combine like terms: 6x + -9x = -3x
-6 + -3x = 18 + 9x + -9x
Combine like terms: 9x + -9x = 0
-6 + -3x = 18 + 0
-6 + -3x = 18
Add '6' to each side of the equation.
-6 + 6 + -3x = 18 + 6
Combine like terms: -6 + 6 = 0
0 + -3x = 18 + 6
-3x = 18 + 6
Combine like terms: 18 + 6 = 24
-3x = 24
Divide each side by '-3'.
x = -8
Simplifying
x = -8</span>
Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)
Answer:
Remaining credit = $11.36 [11 dollars and 36 cents]
area = pi times radius squared
area = pi times 5 squared
area = pi times 25
area = 78.54
answer : 78.54 square feet
<span>Answer:
The cylinder has equation y^2 + z^2 = 1 (with x in [0, 2]).
So, we can write the volume â«â«â« 1 dV as
â«(x = 0 to 2) â«(z = -1 to 1) â«(y = -âš(1 - z^2) to âš(1 - z^2)) 1 dy dz dx.</span>
