y = -2/3x -3
x=0 y=-3 point (0,-3) over 0 down 3
x=3 y=-2/3(3) -3 =-2-3 =-5 (3,-5) go to the right 3 down 5
The Law of Cosine states
cos
so plugging in the numbers gives us
cos
We now have cosJ so plug that into your calculator and find arccos (arccos(cos(J)) = J)
arccos
rounding your answer will give you 34°
Step-by-step explanation:
the point-slope form is
y - y1 = m(x - x1)
where (x1, y1) is a point on the line.
m is the slope of the line, which is always (in any form) the factor of x.
the parallel line has -2/8 as factor of x, which is therefore also the slope of our new line (after all, it has to be parallel, so it must have the same slope).
so, we have
y + 5 = -2/8 × (x - 4)
which can be simplified, of course, to
y + 5 = -1/4 × (x - 4)
Answer:
-1.
Step-by-step explanation:
First find the derivative of f(x):
f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.
-3(x^2 - 4x + 3) = 0
(x - 1)(x - 3) = 0
x = 1, 3.
To find which gives a relative maximum we find the second derivative:
f"(x) = -6x + 12
When x = 1 f"(x) = 6, positive.
when x = 3, f"(x) = -6, negative.
So x = 3 gives a maximum value of f(x).
f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).
Answer:
4.8 days
Step-by-step explanation:
12/10 = 1.2
1.2 x 4 = 4.8
