Problem 2
Midpoint: Think 1/2. A midpoint cuts a line segment in 1/2 (in this question). That means that the left segment = the right segment. Remember: midpoint means 1/2.
LN is given as 14.
LM is 1/2 the distance of 14
LM = 1/2 * 14
LM = 7
Problem 3
If the midpoint = the 1/2 way point, the two halves are equal. Remember a midpoint divides the 2 parts into 2 EQUAL parts.
4a - 2 = 18 Add 2 to both sides
4a = 18 + 2
4a = 20
a = 20 /4
a = 5
Problem 4
Remember that midpoint means 1/2. That a midpoint cuts a segment into 2 equal segments
Equation
2n + 2 = 5n - 4
Solve
2n + 2 = 5n - 4 Add 4 to both sides
2n + 2 + 4 = 5n Subtract 2n from both sides.
6 = 5n - 2n
6 = 3n Divide both sides by 3
6/3 = n
n = 2
<u>Answer:</u> B
Problem 5
And again the whole line segment is divided into 2 equal parts.
<u>Equation</u>
6p - 12 = 4p Add 12 to both sides
6p = 12 + 4p Subtract 4p from both sides.
6p - 4p = 12
2p = 12 Divide by 2
p = 12/2
p = 6 <<<<< Answer
I am not sure if you wrote a repeating decimal with the line next to the 0.025 so comment if you need it. If it wasn't repeating it would be simply 1/40 if there is no repeating and you only want 0.025 is a fraction in simplest form.
G(x)=-x+0. Any equation reflected across the x axis will have the opposite x value as the original function. Hope this helps!
(f(x) in red, g(x) in blue)
Answer:
104
Step-by-step explanation:
There are two ways to do it, though we need to know how it is affected.
20+6=26
26+6=32
32+6=38
38+6=44
Thus, you are adding 6 for each term.
1. You do it manually...(yes.)
I'll number it one by one
1.20
2.26
3.32
4.38
5.44
6.50
7.56
8.62
9.68
10.74
11.80
12.86
13.92
14.98
15.104
The 15th term is 104.
2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)
You can get this formula from the facts that:
-you start off with an additional added 8
-you add 6 every time
-if we do it 6n then it would be incorrect, with an extra 6 for each
-the formula is correct; you can test it for terms 2,3,4,5 like this:
20+6=26
20+2x6=32
20+3x6=38
20+4x6=44
To find the 15th term, you can:
20+14x6=20+84=104.
