<span>2t-7-5t=11
Start by combing like terms:
2-5t=-3t
Now we have:
-3t-7=11
Add 7 to both sides
-3t=18
To isolate t we divide both sides by -3
Final answer:
t=-6 </span>
Answer:
Third option: x=0 and x=16
Step-by-step explanation:

Isolating √(2x+4): Addind √x both sides of the equation:

Squaring both sides of the equation:

Simplifying on the left side, and applying on the right side the formula:


Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

Squaring both sides of the equation:

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

Factoring: Common factor x:
x (x-16)=0
Two solutions:
1) x=0
2) x-16=0
Solving for x: Adding 16 both sides of the equation:
x-16+16=0+16
x=16
Let's prove the solutions in the orignal equation:
1) x=0:

x=0 is a solution
2) x=16

x=16 is a solution
Then the solutions are x=0 and x=16
Answer:
Tan(O) = 4/3
Step-by-step explanation:
According to SOH CAH TOA
cos theta = adj/hyp
cosO = 3/4
adj = 3
hyp = 5
Get the opposite
Using pythagoras theorem
opp^2 = hyp^2-adj^2
opp^2 = 5^2 - 3^2
opp^2 = 25-9
opp^2 = 16
opp = 4
Tan (O) = opp/adj
Tan(O) = 4/3
Hence Tan(O) = 4/3