The area:

Substitution: u = - 6 x
du = - 6 dx
dx = -1/6 du
∫ -1/6 e^(u) du = - 1/6 e^(u) = - 1/6 e^(-6x)

=
π / 3
Answer:




Step-by-step explanation:
We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:






Now,
the slope of the line BC matches with the slope of y=-3.5x-15.
the slope of the line DE matches with the slope of y=-0.5x-3.
the slope of the line HI matches with the slope of y=1.25x+4.
the slope of the line LM matches with the slope of y=5x+9.
and the slopes of the lines FG and JK do not match with any of the functions given.
Thus,




Answer:
The answer is 3.12
Step-by-step explanation:
Answer:
x=-1
y=10/3
Step-by-step explanation:
You can solve the system of equations by applying the elimination method as following:
- Add both equations, then:

- Finally, you must substitute the value of x obtained into one the original equations and then you must solve fot y:

<span>2(2r + 8) = 3r + 16
4r + 16 = 3r +16
4r - 3r = 16 - 16
r = 0</span>