Answer:
One example is the equation:
2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Step-by-step explanation:
Answer:
Angle between the two vectors is 20.7718°.
Step-by-step explanation:
The given two vectors are x = (1,2,3,4) and y = (4,2,4,5)
Now the dot product between two vector is defined as
x.y = ║x║║y║cosθ
Now, x.y( dot product of x and y) = 1×4 + 2×2 + 3×4 + 4×5 = 40
║x║=
= 
║y║=
'
Thus, we get
40 =
×
×Cos θ
Thus, Cos θ = 
Cos θ = 0.935
θ = 
θ = 20.7718°
At start: PE only
At end: KE and energy lost to friction
PE = KE + E
E = PE - KE
= mgh - (1/2)mv^2
= (40)(9.8)(12) - (.5)(40)(10)^2
= 2704J
6+9x=456
Subtract 6 from both sides
6-6+9x = 456-6
9x = 450
Divide each side by 9
X = 50
Plug it in 6+9(50) = 456
6+450 = 456