Answer:
0,1
-5,2
Step-by-step explanation:
?
Answer: x= 9y - 77 its vertical intercep 0, -77
Answer:
a=4 and b = 0
Step-by-step explanation:
Given : ![\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%203%20-1%7D%7B%5Csqrt%203%2B1%7D%2B%5Cdfrac%7B%5Csqrt%203%2B1%7D%7B%5Csqrt%203-1%7D%3Da%2B%5Csqrt%203%20b)
To find, The value of a and b
Solution,
Solving LHS of the given equation,
![\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b](https://tex.z-dn.net/?f=%5Cdfrac%7B%28%5Csqrt%203-1%29%5E2%2B%28%5Csqrt3%2B1%29%5E2%7D%7B%28%5Csqrt%203%2B1%29%28%5Csqrt%203-1%29%7D%3Da%2B%5Csqrt%203%20b)
Since,
![(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2%2Bb%5E2-2ab%5C%5C%5C%5C%28a%2Bb%29%5E2%3Da%5E2%2Bb%5E2%2B2ab%5C%5C%5C%5C%28a-b%29%28a%2Bb%29%3Da%5E2%2Bb%5E2)
So,
![\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b](https://tex.z-dn.net/?f=%5Cdfrac%7B3%2B1-2%5Csqrt%203%2B3%2B1%2B2%5Csqrt%203%7D%7B3-1%7D%3Da%2B%5Csqrt%203%20b%5C%5C%5C%5C4%3Da%2B%5Csqrt%203%20b)
or
![4+0=a+\sqrt 3 b](https://tex.z-dn.net/?f=4%2B0%3Da%2B%5Csqrt%203%20b)
On comparing we get :
a = 4 and b = 0
The radius of the table top is 206 when rounded to the nearest centimeters
time * rate = distance
Downstream 4 * x = 4(x)
Upstream 6 * x - 2 = 6(x - 2)
distance downstream = distance upstream:
4(x) = 6(x - 2)
4x = 6x - 12
-2x = -12
x = 6
Distance Upstream: 4x = 4(6) = 24
Distance Upstream: 6(x - 2) = 6(6 - 2) = 6(4) = 24
Total distance traveled is Upstream + Downstream = 24 + 24 = 48
Answer: 48 miles