Answer:
slope is m=1. y-intercept is -1
Answer:
(A) ![\frac{\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B3%7D)
(b) ![1.768\pi](https://tex.z-dn.net/?f=1.768%5Cpi)
Step-by-step explanation:
It is given in the question that ![0\leq x\leq 2\pi](https://tex.z-dn.net/?f=0%5Cleq%20x%5Cleq%202%5Cpi)
(a) We have given equation ![2cosx-1=0](https://tex.z-dn.net/?f=2cosx-1%3D0)
![cosx=\frac{1}{2}](https://tex.z-dn.net/?f=cosx%3D%5Cfrac%7B1%7D%7B2%7D)
![x=cos^{-1}\frac{1}{2}](https://tex.z-dn.net/?f=x%3Dcos%5E%7B-1%7D%5Cfrac%7B1%7D%7B2%7D)
![x=\frac{\pi }{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Cpi%20%7D%7B3%7D)
(b) ![3sinx+2=0](https://tex.z-dn.net/?f=3sinx%2B2%3D0)
![sinx=\frac{-2}{3}](https://tex.z-dn.net/?f=sinx%3D%5Cfrac%7B-2%7D%7B3%7D)
![x=sin^{-1}(-0.666)](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%28-0.666%29)
![x=-41.75^{\circ}=360-41.75=318.25^{\circ}=1.768\pi](https://tex.z-dn.net/?f=x%3D-41.75%5E%7B%5Ccirc%7D%3D360-41.75%3D318.25%5E%7B%5Ccirc%7D%3D1.768%5Cpi)
Answer:
i think its x= 18 degrees but i dont know so i apologize if its wrong
Step-by-step explanation:
9189.15 ft (this is the answer and I have not rounded it)
Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a = ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)