Answer:
The formula is much faster.
Substitute in a1=1, r = 2, and n = 32 into the formula.
Step-by-step explanation:
The equation of hyperbola can vary much from simple to complex equation. Since the information given from this question is not many, the equation probably was the simple one.
Assuming that the hyperbola formula is y= x^2 +b, then the value of b where x=-2 and y=-3 would be:
y= x^2 +b
-3= (-2)^2 +b
-3= 4+b
b=-3 -4= -7
The equation would be: y= x^2 -7
To find the surface area we deconstruct the figure then add all the areas together.
The area of the rectangle on the bottom is 8*6 or 48.
The side rectangles are 5*6 or 30.
The two triangles are

or 12.
48+30+30+12+12= 132.
Hope this helps!
The original triangle had side lengths of 12. The perimeter was 36
Then if you divide each side by 4, each side would be 3 and the new triangle's perimeter would be 9. The difference of them would be 36-9 which is 27. The answer is 27. Hope that helped
Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15