Step-by-step explanation:
Using an online calculator, I was able to find that one pattern is
. Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one
Answer:

Step-by-step explanation:
We can write them both like functions like this


Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:

we replace with the functions

we solve for x

The output that makes the out put of A 3 times teh output of B is 
Answer:
Step-by-step explanation:
For problem 10:
1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)
2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)
3. 9/x=(9+6)/10 (Substitute the given values into this equation)
4. x=6 (Use algebra to solve for x)
For problem 11:
1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)
2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)
3. 14/(14+7)=18/(18+x) (Substitute given values)
4. x=9 (Solve for x)
lmk if there are mistakes in my explanation, hope this helps :)
The answer is trapezoid because a trapezoid does not have parallel sides
Answer:
-3x²+17x-20
Step-by-step explanation:
When you apply the distributive property (which you did correctly), you simply multiply each number or variable in which you have to distribute it to (which again you wrote correctly) and then you add them all together.
(3x)(-x)=-3x²
+
(3x)(4)=12x
+
(-5)(-x)=5x
+
(-5)(4)=-20
Add those and you will get your answer. Hope this helped :)