Answer:
Step-by-step explanation:
121+7x-4=180
7x-4=180-121=59
7x=59+4=63
x=63/7
x=9
It will be nice if you give me brainliest. Good luck!
Answer:
= - 95n
Step-by-step explanation:
Note the difference between consecutive terms in the sequence is constant
- 190 - (- 95) = - 190 + 95 = - 95
- 285 - (- 190) = - 285 + 190 = - 95
- 380 - (- 285) = - 380 + 285 = - 95
This indicates that the terms are an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 95 and d = - 95, thus
= - 95 - 95(n - 1) = - 95 - 95n + 95 = - 95n
Answer:
y = 2 |x - 3| + 1.
Step-by-step explanation:
The vertex of the graph in the question is at (-3, 1) which is 3 units to the left of the y axis. The reflection will be at (3, 1) which is 6 units to the right so the equation
will be y = 2|x + 3 - 6| + 1
y = 2 |x - 3| + 1.
Here sin theta is positive and tan theta is negative , it means theta is in second quadrant where cos is negative too .
![sin \Theta = 2/3 , cos \theta = - \sqrt{1-sin^2 \Theta} =- \sqrt{1-4/9}=-\sqrt{5}/3](https://tex.z-dn.net/?f=%20sin%20%5CTheta%20%3D%202%2F3%20%2C%20cos%20%5Ctheta%20%3D%20-%20%5Csqrt%7B1-sin%5E2%20%5CTheta%7D%20%3D-%20%5Csqrt%7B1-4%2F9%7D%3D-%5Csqrt%7B5%7D%2F3%20)
So the correct option is the third option .
![2x+5y=-4 \\ 4x-5y=22](https://tex.z-dn.net/?f=2x%2B5y%3D-4%20%5C%5C%204x-5y%3D22)
There are many ways of solving a system of equation, a very used one is by elimination of variables, which consists in eliminating one of the variables by combining the equations.
Let's do the following combination: (eq 1) + (eq 2)
This means that we add each term vertically:
![2x+5y=-4 \\ 4x-5y=22](https://tex.z-dn.net/?f=2x%2B5y%3D-4%20%5C%5C%204x-5y%3D22%20)
⇒
![6x=18](https://tex.z-dn.net/?f=6x%3D18)
When I said "add vertically" means that you add the first term of the first equation with the first term of the second equation. The second term of the first equation with the second term of the second equations, and so on.
This allowed us to remove the "y" temporarily so we can get a linear one-variable equation we can easily solve:
![6x=18 \\ x=3](https://tex.z-dn.net/?f=6x%3D18%20%5C%5C%20x%3D3)
Now that we know the value of "x", we can plug it in any of the starting equations and get "y":
![2x+5y=-4 \\ 2(3)+5y=-4 \\ 5y=-10 \\ y=-2](https://tex.z-dn.net/?f=2x%2B5y%3D-4%20%5C%5C%202%283%29%2B5y%3D-4%20%5C%5C%205y%3D-10%20%5C%5C%20y%3D-2)
Therefore, our answer looks like this: