Answer:
using cos=adjacent/hypotenuse
Step-by-step explanation:
in this case cos(60)=x/4√3
x=cos(60)*4√3
x=3.46
Answer:
41/6
Step-by-step explanation:
-12+81=-1+6(2a-2)
first distribute:
-12+81=-1+12a-12
combine like terms:
<u>-12+81</u>= <u>-1</u>+12a<u>-12</u>
69=-13+12a
add -13 with 69:
82=12a
divide 82 and 12:
82/12= 41/6
Answer:
y=-1/2x+2
the y-intercept is at 2 and the slope is -1/2
meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction
Answer:
5
Step-by-step explanation:
First figure out the equation:
We know this is a linear equation because it appears to have a constant slope
Its y-intercept is where it passes in the y-axis, so it's -8
Furthermore, you should also figure out the slope. Notice that the y value increments by 3 every 1 x-value. Rise/Run is 3/1 = 3. Thus, the slope is 3
So your equation is g(x) = 3x - 8
Now we find our inverse function, which is just swapping the x-y values.
Thus, inverse of g(x) ==> y = 3x - 8 ==> x = 3y - 8 ==> x+8 = 3y ==> 
Plug in 7 for x and you get 5