Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
Answer: 0.5 inch
Step-by-step explanation:
Given
On hammering nail advances
each time
Annalee hammered 4 times
So, total advancement of nail= ![4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch](https://tex.z-dn.net/?f=4%5Ctimes%20%5Cdfrac%7B1%7D%7B8%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%20inch)
Arc length = r θ =(3.9/2)*6.7 = 13.065 m.
Note: This arc angle is over 2 π , meaning that it will more than wrap around the circle.
Step-by-step explanation:
Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:
![a_{n}=a_{n-1}+2, a_{1}=12](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7Bn-1%7D%2B2%2C%20a_%7B1%7D%3D12)
This is an arithmetic sequence, so the explicit formula is:
![a_{n}=12+2(n-1)\\a_{n}=10+2n](https://tex.z-dn.net/?f=a_%7Bn%7D%3D12%2B2%28n-1%29%5C%5Ca_%7Bn%7D%3D10%2B2n)
The next three terms are 20, 22, 24.