Answer:
12x^5+27x^4-24x^3+12x^2:
Step-by-step explanation:
hope it helps
Answer:
![(-\frac{1}{4}, \frac{5}{8} )](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B4%7D%2C%20%20%5Cfrac%7B5%7D%7B8%7D%20%29)
Step-by-step explanation:
If you label the points on the axes, it will show that point K is actually on
not ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Answer:
I did this for points just saying:
I think the answer is 25.0?
Step-by-step explanation:
I'm not sure but I did this:
m∠TOU + m∠UOR + m∠ROS = m∠TOS We have:
m∠TOU = (3x - 14)°
m∠UOR = (3x - 14)°
m∠ROS = (2x + 8)°
m∠TOS = 180°
Substitute:
(3x - 14) + (3x - 14) + (2x + 8) = 180 combine like terms
(3x + 3x + 2x) + (-14 - 14 + 8) = 180
8x - 20 = 180 add 20 to both sides
8x - 20 + 20 = 180 + 20
8x = 200 divide both sides by 8
8x/8 = 200/8
x = 25
Firstly, put Derek and Paul's collection together:
1950, 1952, 1908, 1902, 1955, 1954, 1901, 1910, 1929, 1935, 1928, 1930, 1925, 1932, 1933, 1920
1950+1952+1908+1902+1955+1954+ 1901+1910+1929+1935+1928+1930+ 1925+ 1932+1933+1920
=30864
=30864÷16
=1929
∴the mean is 1929.
Median:
1901, 1902, 1908, 1910, 1920, 1925, 1928, 1929, 1930, 1932, 1933, 1935,
1950, 1952, 1954, 1955
1930÷1929
=1.0005184
= Median
Range:
1955-1901
=54
∴the range is 54.
Answer:
1) ![\bar A + \bar B = -2.34 i + 5.66 j](https://tex.z-dn.net/?f=%5Cbar%20A%20%2B%20%5Cbar%20B%20%3D%20-2.34%20i%20%2B%205.66%20j)
2) ![\bar A - \bar B = 13.66 i + 5.66 j](https://tex.z-dn.net/?f=%5Cbar%20A%20-%20%5Cbar%20B%20%3D%2013.66%20i%20%2B%205.66%20j)
Step-by-step explanation:
Given:
IAI = 8.00 units directed at angle of 45.0 degrees with +x - axis
IBI = 8.00 units directed along -x - axis.
Components of vector along x and y directions:
![A_x = (8.00) (cos(45.0^0)) = 5.66\\A_y = (8.00)(sin(45.0^0)) = 5.66](https://tex.z-dn.net/?f=A_x%20%3D%20%288.00%29%20%28cos%2845.0%5E0%29%29%20%3D%205.66%5C%5CA_y%20%3D%20%288.00%29%28sin%2845.0%5E0%29%29%20%3D%205.66)
![B_x = (8.00)(cos(180^0)) = -8.00\\B_y = (8.00)(sin(180^0)) = 0](https://tex.z-dn.net/?f=B_x%20%3D%20%288.00%29%28cos%28180%5E0%29%29%20%3D%20-8.00%5C%5CB_y%20%3D%20%288.00%29%28sin%28180%5E0%29%29%20%3D%200)
![\bar A = (A_x) i + (A_y) j = 5.66 i + 5.66 j\\\bar B = (B_x) i + (B_y) j = -8.00 i + 0 j](https://tex.z-dn.net/?f=%5Cbar%20A%20%3D%20%28A_x%29%20i%20%2B%20%28A_y%29%20j%20%3D%205.66%20i%20%2B%205.66%20j%5C%5C%5Cbar%20B%20%3D%20%28B_x%29%20i%20%2B%20%28B_y%29%20j%20%3D%20-8.00%20i%20%2B%200%20j)
1) To find Vector sum ![( \bar A + \bar B)](https://tex.z-dn.net/?f=%28%20%5Cbar%20A%20%2B%20%5Cbar%20B%29)
![(\bar A + \bar B) = (5.66-8) i + ( 5.66+0) j = -2.34 i + 5.66 j](https://tex.z-dn.net/?f=%28%5Cbar%20A%20%2B%20%5Cbar%20B%29%20%3D%20%285.66-8%29%20i%20%2B%20%28%205.66%2B0%29%20j%20%3D%20-2.34%20i%20%2B%205.66%20j)
2) To find Vector sum ![(\bar A - \bar B)](https://tex.z-dn.net/?f=%28%5Cbar%20A%20-%20%5Cbar%20B%29)
![(\bar A - \bar B) = (5.66-(-8)) i + ( 5.66-0) j = -13.66 i + 5.66 j](https://tex.z-dn.net/?f=%28%5Cbar%20A%20-%20%5Cbar%20B%29%20%3D%20%285.66-%28-8%29%29%20i%20%2B%20%28%205.66-0%29%20j%20%3D%20-13.66%20i%20%2B%205.66%20j)