Just pick any two points on the line graph
Let's call them ( x1, y1) and (x2, y2)
The slope = [ y2 - y1 ] / [ x2 - x1]
Example .....points ( 3, 2) and (6, 4) are on a graph
The slope is [ 4 - 2 ] / [ 6 - 3 ] = 2 / 3
Probably for the same reason that clocks don't add and subtract......
OK, NSS.......good to see that you're catching on to some of this stuff......
2 x 2.29 + 1.19 x s = 12.52
We need to find the radius
Circumference = 2 pi * r
37.68 = 2pi *r divide both sides by 2pi
37.68/ (2pi) = r
The surface area = 4 pi r^2......sub "r" into this and we get
4pi [ 37.68 / (2pi) ] ^2 ≈ 451.9 km^2
y=x^2+5x-6
The x intercepts occur where y = 0 ....so....
0 = x^2 + 5x - 6 factor
0 = ( x -1) ( x + 6)
Set both factors to 0.....solve for x
x - 1 = 0 x + 6 = 0
add 1 to both sides subtract 6 from both sides
x = 1 x = -6
And those are the two x intercepts
A(-4, 4), B (-2, -3), C (4, 7), D (6, 0)
Look at the figure below
Opposite angles are equal
Adjacent angles are supplementary.....thus.....we have a parallelogram
Let's see, NSS
482.8 = 4pi r^2
482.8 / ( 4 pi ) = r^2
√ [ 482.8 / (4 pi) ] = r ≈ 6.2
So.....the volune is
(4/3) pi ( 6.2)^3 ≈ 998.3
Yep.....close enough...... ≈ 998
Good job !!!!
1. The diameter of the sphere = 10m
Vsphere = (4/3) pi ( diameter / 2 ) ^3 = (4/3) pi (10 / 2)^3 =
(4/3) pi (5)^3 ≈ 523.59 m^3 =
524 m^3
2. The diameter of the sphere = 15 yd
SAsphere = 4 pi (diameter / 2 ) ^2 = 4 pi (15/ 2)^2 =
4 pi ( 7.5) ^2 ≈ 706.86 yd^2 =
707 yd^2
Assuming degrees we have
cos^4 (30) - (sin^4 30) factor
[ oos^2 ( 30) + sin^2 (30) ] [ cos^2 (30) - sin^2 (30) ]
[ 1 ] [ (√3 / 2 ) ^2 - ( 1 / 2) ^2 ]
3 / 4 - 1 / 4
2 / 4 = 1 / 2
