Answer:
Step 1. Read the problem. Make sure you understand all the words and ideas.
Step 2. Identify what you are looking for.
Step 3. Name what you are looking for.
Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.
Step 5. Solve the equation using good algebra techniques.
Step 6. Check.
Step 7. Answer the question.
Step-by-step explanation:
Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
Answer: 
Step-by-step explanation:
You need to use the SAS area formula. This is:

Given the triangle ABC, you know that:

Therefore, substituting these values into the formula, you get that the area of the triangle ABC is:

Answer:$58.50
Step-by-step explanation:
The price was 130
With 40% off
Which reads out in this format
40/100*130= 52 dollars off the real price
130-52=78 dollars
Then later reduce by 25 percent
Now the price is 78 dollars
25/100*78= 19.5 dollar off the new price
So the real price will be
78-19.5=$58.5