Since 
and 
, we can rewrite the right side of the equation as
Using the identity 
, we can subtract 
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
Answer:
If the expression is:
-3x + 12 = -3x + 12, infinite solutions
If the expression is:
-3x + 12 = -3x - 12, no solutions
Step-by-step explanation:
Step 1: Distribute
-3x + 12 = 3x = 12
If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.
If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.
Answer:
x= 11.9 (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
Option B. 9 ml.
Step-by-step explanation:
Recommended dose of a drug = 5 mg/kg body weight.
weight of the cat = 8 lb
1 lb = 0.4536 kg.
8 lb = 0.4536 × 8 = 3.6288 kg. ≈ 3.6 kg
A solution contains a concentration of 2 mg/ml
so recommended dose for 3.63 kg = 5mg × 3.6 = 18 mg
∵ 1 ml. contains a concentration = 2 mg
∴ for 18 mg concentration dose will be = 18/2 = 9 ml
9 ml of the solution should be given to a cat.
Option B. 9 ml.
5 pounds of onions 2$ each = 10$
A bag of salad greens for 4$ = 4$
10$ + 4$ = 14$
The answer is B.
