So the function we're dealing with is
f(x) =
![\frac{x+6}{x^{2}-9x+18 }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2B6%7D%7Bx%5E%7B2%7D-9x%2B18%20%7D%20)
Factorising we get,
![x^{2} -9x+18=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-9x%2B18%3D0)
Therefore, the vertical asymptotes are at x = 3 and x = 6
Correct answer is: actual wingspan of airplane is 6 inches.
Solution:-
We are given that wingspan is 'a' feet and tail span is 'b' feet in a scale drawing.
And we are also given that tail span is 2 inches that is b=2 inches and ![\frac{a}{b}=3](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%3D3)
Let us plugin the b value in above equation.
![\frac{a}{2}=3](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B2%7D%3D3)
Multiplying with 2 on both sides.
a=3X2=6 inches.
Hence actual wingspan of airplane is 6 inches.
9514 1404 393
Answer:
A. 7 seconds
Step-by-step explanation:
We assume your factored equation is something like ...
h(t) = -16t(t -7)(t +2)
The time it takes the ball to reach the ground is the positive value of t that makes a factor zero:
t -7 = 0 ⇒ t = 7
The ball will land on the ground in 7 seconds.
An estar escrito en la forma n / 1. Por ejemplo, 5 = 5/1 y, por tanto, 5 es un número racional. Sin embargo, números como 1/2, 45454737/2424242 y -3/7 también son racionales, ya que son fracciones cuyo numerador y denominador son números enteros.
Espero que esto te ayude
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
![5x-10=\frac{1}{2}(195-(8x+17))](https://tex.z-dn.net/?f=5x-10%3D%5Cfrac%7B1%7D%7B2%7D%28195-%288x%2B17%29%29)
which simplifies down a bit to
which simplifies down a bit more to
Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°