Answer:
The answer is -9
Step-by-step explanation:
First we have to find the value for g(8) so that we can plug its solution into f(x).
So...
(8) + 5
1 + 5
6
So now we plug in 6 into f(x) since 6 was our solution to g(x)
3 - 2(6)
3 - 12
-9
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
![\huge\boxed{y=-\frac{4}{3}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7By%3D-%5Cfrac%7B4%7D%7B3%7D%7D)
To find the equation for a line in slope-intercept form, we need to find the slope and the y-intercept.
The y-intercept is easy to find. It's just the value of
when
. In this case, the y-intercept is
since the line goes through the origin.
To find the slope, we use the slope formula, where
and
are two known points. In this case, we'll use the only two points we have:
and ![(-3, 4)](https://tex.z-dn.net/?f=%28-3%2C%204%29)
![\begin{aligned}m&=\frac{y_2-y_1}{x_2-x_1}\\&=\frac{4-0}{-3-0}\\&=\frac{4}{-3}\\&=-\frac{4}{3}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dm%26%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%26%3D%5Cfrac%7B4-0%7D%7B-3-0%7D%5C%5C%26%3D%5Cfrac%7B4%7D%7B-3%7D%5C%5C%26%3D-%5Cfrac%7B4%7D%7B3%7D%5Cend%7Baligned%7D)
Finally, we put it all together in slope-intercept form, where
is the slope and
is the y-intercept.
![y=mx+b\\y=-\dfrac{4}{3}x+0\\\boxed{y=-\frac{4}{3}}](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D-%5Cdfrac%7B4%7D%7B3%7Dx%2B0%5C%5C%5Cboxed%7By%3D-%5Cfrac%7B4%7D%7B3%7D%7D)