Answer:
-12x + 4
Step-by-step explanation:
Just write the givens like this f(x) + g(x)
f(x) + g(x) = -7x + 1 + - 5x + 3
f(x) + g(x) = - 7x + 1 - 5x + 3
f(x) + g(x) = - 12x + 4
Answer:
ax+b=r
ax=r-b
x=(r-b)/a
Step-by-step explanation:
Answer:
(-2,8)
Step-by-step explanation:
To solve by substitution, first isolate a variable in one of the equations. Then, substitute the value of the variable from that equation into the other equation, giving either the x or y value of the solution. Finally, substitute that answer back into one of the two equations, finding the other missing value.
1) For both of the equations, the variable y has already been solved for. So, we can choose to substitute whatever y equals in one equation for the y in the other equation. Any choice is fine - I chose to substitute -4x for the y in y = 3x + 14.
![(-4x) = 3x + 14\\-7x = 14\\x = -2](https://tex.z-dn.net/?f=%28-4x%29%20%3D%203x%20%2B%2014%5C%5C-7x%20%3D%2014%5C%5Cx%20%3D%20-2)
2) Now that x has been solved for, substitute the value for the x in one of the equations. Any choice is fine here, too - I chose to substitute -2 in y = -4x:
![y = -4(-2) \\y = 8](https://tex.z-dn.net/?f=y%20%3D%20-4%28-2%29%20%5C%5Cy%20%3D%208)
3) Both the x and y value of the solution has been solved for. x = -2 and y = 8. Therefore, the solution is (-2,8).
The length of arc JL is
So option c is correct.
<u>Solution:</u>
Given, from the diagram, radius of the given circle is 2 units.
And, the angle between the radius JK and KL is 125 degrees.
We have to find the length of the minor arc formed by JL
The length of arc is given as:
![\text { Length of arc }=2 \pi r\left(\frac{\theta}{360}\right)](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Length%20of%20arc%20%7D%3D2%20%5Cpi%20r%5Cleft%28%5Cfrac%7B%5Ctheta%7D%7B360%7D%5Cright%29)
where
is angle between radii formed by points with centre
Now the length of arc JL is:
![=2 \pi \times 2 \times \frac{125}{360}=4 \pi \times \frac{125}{360}=\pi \times \frac{125}{90}=\frac{25}{18} \pi](https://tex.z-dn.net/?f=%3D2%20%5Cpi%20%5Ctimes%202%20%5Ctimes%20%5Cfrac%7B125%7D%7B360%7D%3D4%20%5Cpi%20%5Ctimes%20%5Cfrac%7B125%7D%7B360%7D%3D%5Cpi%20%5Ctimes%20%5Cfrac%7B125%7D%7B90%7D%3D%5Cfrac%7B25%7D%7B18%7D%20%5Cpi)
Hence, the length of are JL is
so option c is correct.