- 3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
- 10x + 20 = 180 [combine like terms]
- 10x = 160 [subtract 20 from both sides]
- x = 16 [divide both sides by 10]
Arc AB measures 3(16) = 48 degrees.
Arc BC measures 2(16) + 5 = 41 degrees.
So in 10 days the grasshopper (x) is doubled (2x)
20 days it is 2(2x) or 4x
30 days it is 2(4x) or 8x
in 35 days it is 1/2 of 10 so 1/2 times 2 times 8x=8x
it increased by a factor of 8
We have been given an equation of hyperbola 
. We are asked to find the center of hyperbola.
We know that standard equation of a vertical hyperbola is in form 
, where point (h,k) represents center of hyperbola.
Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.
To find the value of k, we need to rewrite our equation as:
Now we can see that value of k is 
. Therefore, the vertex of given hyperbola will be at point 
and option D is the correct choice.
Answer:
Start of the year: 77 End of the year: 87
Step-by-step explanation:
1 dot equals the number represented below, so I multiplied up to the answers for both! (Hope you pass ur test :D)
