Answer:
1. C) 3
2. D) -1
3. D) 7^2 - 8*2 - 16
4. B) 75
5. B) 6^2 + (2 - 8)*sqrt(81)
Step-by-step explanation:
1. (10 - (6-4)^2)/2
= (10 - 2^2)/2
= (10 - 4)/2
= 6/2
= 3
2. PEMDAS states that Multiplication is before Subtraction
8 - (5^2-7)/2
= 8 - (25-7)/2
= 8 - 18/2
= 8 - 9
= -1
3. D) 7^2 - (8*2) - 16
= 49 - 16 - 16
= 49 - 32
= 17
4. 3(2 + 3)^2
= 3(5)^2
= 3(25)
= 75
5. 6^2 + (2 - 8)*sqrt(81)
= 36 + (-6*9)
= 36 - 54
= -18
For a segment AB, the coordinates of the middle point C are:
xc=(xa+xb)/2,
yc=(ya+yb)/2.
Now, you know points A and C. Thus we get:
xb=2×xc-xa
yb=2×yc-ya
With numerical values:
xb=2×2-(-1)=4+1=5
yb=2×3-(-5)=6+5=11
Answer: B(5, 11)
$462
3/5 of 35 gallons = 21 gallons
21 gallons x $22 = $462
Answer:
Option B 
Step-by-step explanation:
we have

<u><em>Verify each recursive formula</em></u>
case A) we have

For 
Find the value of 



therefore
The recursive formula A not represent the sequence shown
case B) we have

For 
Find the value of 

---> is ok
For 
Find the value of 

---> is ok
For 
Find the value of 

---> is ok
For 
Find the value of 

---> is ok
therefore
The recursive formula B represent the sequence shown
case C) we have

For 
Find the value of 

---> is ok
For 
Find the value of 



therefore
The recursive formula C not represent the sequence shown
case D) we have

For 
Find the value of 



therefore
The recursive formula D not represent the sequence shown
case E) we have

For 
Find the value of 



therefore
The recursive formula D not represent the sequence shown