Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x+2)
Option A is correct.
Answer:
-4 = 5
Step-by-step explanation:
9-4=5
1-5=-4
-4:5
The rule for the sequence is S(n) = 2S(n-1) - S(n-2)
Alternative form: S(n) = S(n-1) + 3
Step-by-step explanation:
In this problem, we know the first two terms of the sequence:
S(1) = 2
S(2) = 5
We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:
S(n) the current term
S(n-1) the previous term
S(n-2) the term before the previous term
This statement translates into the following sequence:
S(n) = 2S(n-1) - S(n-2)
Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).
We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):



We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as
S(n) = S(n-1) + 3
Learn more about sequences:
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Answer:
x = 3.162
Step-by-step explanation:
Your first step is to get x by itself by subtracting 3 from both sides.
3-
= -7
-
= -10
Now multiply by both sidex by -1 to make x positive.
= 10
now take the square root of both sides.
= 
x = 
x = 3.162
The ratio is width over length.
Make a fraction with the width on top and the length on the bottom:
44/70
Both numbers are even and can be divided by 2,
so the simplified fraction becomes 22/35