Cos θ = adjacent / hypothenus = 5/13
opposite = sqrt(hypothenus^2 - adjacent^2) = sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12
sec θ = 1/cos θ = 1/(adjacent / hypothenus) = hypothenus / adjacent = 13/5
cot θ = 1/tan θ = 1/(opposite/adjacent) = adjacent / opposite = 5/12
sec θ = 13/5
cot θ = 5/12
Answer:
y=4x+6
Step-by-step explanation:
Multiply the coefficients -5 and 3 which gives you -15
Then multiply variables. So x^(2+1) and it gives you x^3. Then y^(3+2) and it gives you y^5.
The final answer is -15x^3y^5
Answer:
b = 0.62
Step-by-step explanation:
Hello!
We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.
When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.
We can find the multiplier by dividing the current term by the previous term.
This number is closest to 0.62, so the approximation is 0.62.
Answer:
Step-by-step explanation:
We have the two functions: 
and 
.
We want to find 
.
So, let's use the second function to find 
first:
Divide:
Add:
Therefore, our expression is the same to 
.
Now, we can substitute 5 for f(x). This yields:
Multiply:
Subtract:
So:
And we're done!
