Special cases of the sum and difference formulas for sine and cosine yields what is known as the double‐angle identities and the half‐angle identities.
First, figure out what you do and don't know....
You do know that 3 times the sum of a number and 4 is 18 more than the number....you don't know the number so you make it the variable x
now take 3 times the sum of a number and 4 and make that an expression 3x+4 this expression is the same or equal to the sum of x and 18 x+18
3x+4=x+18
2x+4=18
2x=14
x=7
hope this helped :)
Answer:
Step-by-step explanation:
<u>Here are the Options verified:</u>
- A. Incorrect. Kites can't be parallelograms.
- B. Correct. Kites are quads. Quads have 4 sides. A kite has 4 sides.
- C. Incorrect. They don't have opposite sides that are congruent.
<u>Correct choice is B.</u>
Domain = Set of all real numbers, which is choice B
Range = Choice C)

The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.
The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex.
The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore

where y is a real number
Step-by-step explanation:
Given that,
Directrix, d= -5, and eccentricity, e = 2.
The polar equation of the conic is given by :

Put all the values,

As e>1, it is a hyperbola. Hence, this is the required solution.