To prove that the trignometric identity sinθ cot θ is equal to cos θ, you can use the following:
sinθ cotθ = cosθ sinθ(cosθ/sinθ) = cosθ
cancel sinθ on the numerator and denominator and you will get:
cosθ = cosθ
Answer:
Salt = 5/56 cups
Step-by-step explanation:
1/8 as much salt as sugar" means
1/8 x amount of sugar
Salt = 1/8 x 5/7
Salt = 5/56 cups
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Answer:
x=4, y=4, λ=-16
Step-by-step explanation:
We have this 3x3 system of linear equations:
λ
λ
So, let's rewrite the system in its augmented matrix form
Let´s apply row reduction process to its associated augmented matrix:
Swap R1 and R3
R3-4R1
R3+R2
Now we have a simplified system:
x+y+0=0
0+4y+λ=0
0+0+2λ=-32
Solving for λ, x, and y
λ=-16
x=4
y=4
Answer:
b = -1
Step-by-step explanation:
First plug in 4 for each x:
Then simplify by multiplying out what you can with 4:
After simplify further by combining like terms:
Then isolate b on one side by subtracting 4 from each side:
Finally isolate b further by dividing each side by 4 to get b alone and find the answer:
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