Simplifying
8 + 6t = 3t + t
Combine like terms: 3t + t = 4t
8 + 6t = 4t
Solving
8 + 6t = 4t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4t' to each side of the equation.
8 + 6t + -4t = 4t + -4t
Combine like terms: 6t + -4t = 2t
8 + 2t = 4t + -4t
Combine like terms: 4t + -4t = 0
8 + 2t = 0
Add '-8' to each side of the equation.
8 + -8 + 2t = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 2t = 0 + -8
2t = 0 + -8
Combine like terms: 0 + -8 = -8
2t = -8
Divide each side by '2'.
t = -4
Simplifying
t = -4
Answer:
B.
4x+9 = 2x-1
Step-by-step explanation:
Answer:
4*x^4*y^22
Step-by-step explanation:
Your goal here is to REDUCE the given expression to simplest terms.
One way in which to approach this problem would be to rewrite (2x^2y^10)^3 as: (2x^2*y^8)*y^2*(2x^2*y^10)^2.
Dividing this rewritten expression by 2x^2*y^8 results in:
y^2(2x^2*y^10)^2.
We now need to raise (2x^2*y^10) to the power 2. Doing this, we get:
4x^4*y^20.
Multiply this by y^2 (see above):
y^2*4x^4*y^20
The first factor is 4: 4y^2*x^4*y^20. This is followed by the product of y^2 and y^20: 4*y^22*x^4
Finally, this should be re-written as
4*x^4*y^22
Another way of doing this problem would involve expanding the numerator fully and then cancelling out like factors:
8*x^6*y^30 4*x^4*y^22
----------------- = ------------------ = 4*x^4*y^22
2x^2y^8 1
B is the y-intercept. in this example, b=50
Answer:
0.471
Step-by-step explanation:
The mnemoic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... sin(S) = 32/68 ≈ 0.471
