<span>Step 1 :</span> 5x - 35y + 50
Simplify —————————————
5
<span>Step 2 :</span>Pulling out like terms :
<span> 2.1 </span> Pull out like factors :
5x - 35y + 50 = 5 • (x - 7y + 10)
Final result :<span> x - 7y + 10</span>
0 and 1 are integers, there are no other integers between them
Answer:
i) ![\frac38\pi](https://tex.z-dn.net/?f=%5Cfrac38%5Cpi)
ii) n = 33
Step-by-step explanation:
For this question you can actually focus on the sine, and forget about the e power. The x-coordinates of the extremes of the curve will be the same as for y=sin(4x)
i) equivalent to solving sin(4x) = -1, so 4x = 3/2 pi, x=3/8 pi
ii) The Tn values are at x = (n·π - π/2)/4
solving (n·π - π/2)/4 > 25 gives:
n > 1/2 + 100/π, so n > 32.331, but n must be integer, so we get n=33
The answer is a is greater than or equal to 13 :)
Answer:
6. ![\displaystyle y - 1 = 2(x + 5)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%201%20%3D%202%28x%20%2B%205%29)
5. ![\displaystyle y + 4 = -3(x - 2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%204%20%3D%20-3%28x%20-%202%29)
4. ![\displaystyle y - 5 = -2(x + 1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%205%20%3D%20-2%28x%20%2B%201%29)
3. ![\displaystyle y - 2 = 3(x - 4)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%202%20%3D%203%28x%20-%204%29)
2. ![\displaystyle y - 4 = -3(x + 2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%204%20%3D%20-3%28x%20%2B%202%29)
1. ![\displaystyle y - 5 = 2(x - 1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%205%20%3D%202%28x%20-%201%29)
Step-by-step explanation:
In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
I am joyous to assist you anytime.