Answer:
zero slope
y-intercept at y = -4
Step-by-step explanation:
-4y = 16 (divide both sides by -4)
y = 16 / (-4)
y = -4
y = -4 represents a horizontal line that is parallel to the x-axis that crosses the y-axis at y = -4
hence the slope of a horizontal line is zero, and the y-intercept is -4
Answer:
Step-by-step explanation:
y=9x-1
8x-4y=92
substitute y=9x-1
8x-4(9x-1)=92
8x-36x+4=92
-28x+4=92
-28x=92-4=88
x=88/-28=22/-7 = -3.14
y = 9(-3.14) -1 = -28.26-1 = -29.26
Answer:
(x - 6)(x + 4)(x - 2)
Step-by-step explanation:
since x = 6 is a root then (x - 6) is a factor
x³ - 4x² - 20x + 48 ÷ (x - 6)
= (x - 6)(x² + 2x - 8)
= (x - 6)(x + 4)(x - 2) ← factors of f(x)
Answer:
The integral
is 0.
Step-by-step explanation:
A parameterization of curve C can be:
X (t) = cost 0 <= t <= pi
Y (t) = sint 0 <= t <= pi
r (t) = costi + sintj
r '(t) = -sinti + costj
![Fds = [-costsin^3t + sintcos^3t] dt](https://tex.z-dn.net/?f=Fds%20%3D%20%5B-costsin%5E3t%20%2B%20sintcos%5E3t%5D%20dt)
The integral
is given by:
![\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B%5Cpi%20%7D%5Cleft%5B-costsin%5E3t%20%2B%20sintcos%5E3t%20dt%5Cright%5Ddt)

4x^2-5x-21 is of the form ax^2+bx+c, a quadratic equation.
so b in this case is -5