Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
Answer:
see below
Step-by-step explanation:
Part 1: 5(2x - 4) = 30.
Distribute
10x -20 = 30
Add 20 to each side
10x-20+20 =30+20
10x = 50
Divide by 10
10x/10 = 50/10
x =5
Part 2: 5x + 3 - x + 2 = 41
Combine like terms
4x +5 = 41
Subtract 5 from each side
4x+5-5 = 41-5
4x = 36
Divide by 4
4x/4 = 36/4
x = 9
Answer: 1.1 Nm
Step-by-step explanation:
The formula for torque is T = r · F · sin θ
where θ = π/6, r = 20 cm = 0.2 m, F = 11 N
formula for converting radians to degrees is 1 rad × 180/π = 57.296°
θ = π/6 · 180/π = 30°
Substituting r into the formula for torque, we have
T = 0.2 x 11 x sin 30° = 0.2 x 11 x 0.5
T = 1.1 Nm
The correct answer is C. 65
Explanation:
The serving size of the soft drink is 8oz, besides this, the amount of sugar for this serving size according to the label is 26 grames. Now, to calculate the amount of sugar in 20oz, one of the simplest methods is to use a rule of three, because three values are known, and one is missing. The process is shown below:
1. Write the known values and use x to represent the unknown values
8 oz = 26 grames of sugar
20 oz = x
2. Use cross multiplication (this means multiply 8 x 6) and divide it into the remaining value
or x = 26 x 20 / 8
3. Solve the equation
or x = 520 / 8
The only number equal to zero is zero.
Answer: a = 0
