Answer:
Step-by-step explanation:
![=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\](https://tex.z-dn.net/?f=%3D5%5Cdisplaystyle%5Cint_%7B0%7D%5E%7B%5Cpi%2F6%7D%5Ctan%282x%29dx%5C%5C%3D-%5Cfrac%7B5%7D%7B2%7D%5Cln%5Ccos%282x%29%7C_%7B0%7D%5E%7B%5Cpi%2F6%7D%5C%5C%3D-%5Cfrac%7B5%7D%7B2%7D%5B%5Cln%5Ccos%28%5Cpi%2F3%29%20-%20%5Cln%5Ccos%280%29%5D%5C%5C)
Step-by-step explanation:
Answer:
1 hour
Step-by-step explanation:
Let the number of hours bowled by Isaiah and Wanda be X
Isaiah spent 16 dollars on shoe rental and 2X on bowling
Wanda spent 13 dollars on shoe rental and 5X on bowling
Since they spent the same amount, set up an equation
16+2X=13+5X
subtract 2X on either side, then subtract 13 from either side we get
3X=3
divide both sides by 3
X=1
Answer:
y=6
Step-by-step explanation:
Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
