Answer: y=-12-2/1x
Step-by-step explanation:
just plot the points and do rise over run for the slope for the y-inter just draw a line
Answer:
(4,-1), (2,-5), and (5,-5).
Step-by-step explanation:
There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)
I never heard of a clockwise one before.
Maybe you can use this to help you find the formula for the clockwise rotation.
They cancel out so the final answer is just "b"
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Answer:
Step-by-step explanation:
n=8 f(x) = x² - 4x
convert [0,2] into 8 subintervals
width of each interval is
![\delta x =\frac{2-0}{8}=0.25](https://tex.z-dn.net/?f=%5Cdelta%20x%20%3D%5Cfrac%7B2-0%7D%7B8%7D%3D0.25)
All subintervals are:
[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]
Let,
be the right end point of each interval i=1,..8
![x_1=0.25, x_2=0.5, x_3=0.75, x_4=1, x_5=1.25, x_6=1.5, x_7=1.75, x_8=2](https://tex.z-dn.net/?f=x_1%3D0.25%2C%20x_2%3D0.5%2C%20x_3%3D0.75%2C%20x_4%3D1%2C%20x_5%3D1.25%2C%20x_6%3D1.5%2C%20x_7%3D1.75%2C%20x_8%3D2)
Reiman sum is
![R_8=\delta x[f(x_1)+f(x_2)+...f(8)]\\\\0.25[f(0.25)+f(0.5)+...+f(2)]\\\\0.25\times[-23.25]\\=-5.8125](https://tex.z-dn.net/?f=R_8%3D%5Cdelta%20x%5Bf%28x_1%29%2Bf%28x_2%29%2B...f%288%29%5D%5C%5C%5C%5C0.25%5Bf%280.25%29%2Bf%280.5%29%2B...%2Bf%282%29%5D%5C%5C%5C%5C0.25%5Ctimes%5B-23.25%5D%5C%5C%3D-5.8125)