14. (2x - 1)(x + 7) = 0Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15. 
To solve this equation, you first need to set it equal to 0:

Next, it can be factored:

Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16. 
First, you can simplify by dividing each side by 4:

Now, set the equation equal to 0:

Next, factor:

Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
16. You add 13 to 35 which makes 3y=48. Then to get y by itself you have to divide both sides by 3. 48/3=16.
This question is incomplete because the options are missing. Here are the options:
A. - 4 = 5x
B. -4 = x
C. -4 + x = 0
D. -4 + 5x = 0
The correct next line of the solution is A. -4 = 5x
An equation is:
- A mathematical expression that represents mathematical equality between two expressions.
- It has two expressions and is separated by the equal sign, called members.
- It has known elements and unknown or unknown data represented with letters like x
According to the above, it can be inferred that the correct answer is option A. because it expresses the correct values according to the operations that have been carried out in the previous lines.
Learn more in: brainly.com/question/10413253
4 x (3+6) = 12 + 24 ---->Distributive
3 + ( 8 + 2) = 3 + (2 + 8) ---> Commutative
6 x (7 x 3 ) = (6 x 7 ) x 3 --->Associative
Answer:
The height of the lighthouse is 
Step-by-step explanation:
Let
h -----> the height of the lighthouse
we know that
The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse
so

Solve for h
