Answer:
Multiply both sides by 11 to isolate the variable.
Step-by-step explanation:
a = 55
Answer:
x+4/2=9 x=14
Step-by-step explanation:
14+4=18 and 19/2 is equal to 9. Therefore the answer is 14.
Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:

Step-by-step explanation:
<u>Given:</u>

<u>Use the Power Rule Law:</u>

<u>Use the Quotient Rule Law:</u>

<u>Use the Product Rule Law:</u>

<u>Simplify:</u>






Answer:
17, 19, 21
Step-by-step explanation:
If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.
The equation is:
x + (x + 2) = 3 * (x + 2 + 2) - 27
2x + 2 = 3x + 12 - 27
2x - 3x = 12 - 27 - 2
-x = -17
x = 17
The numbers are: 17, 19, 21
Let's check to be sure:
17 + 19 = 36
3 * 21 - 27 = 63 - 27 = 36