Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(6*(1/2)*x)=0
Step 1 :
Equation at the end of step 1 :
Ycal 1 6 X 24mm
Step 2 :
X-intercept = 0/-3 = -0.00000 Calculate the Slope: Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.000 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as 'RUN') we get a change of 6.000 - -0.000 = 6.000 in y. Lumber Dimensions. 2x4s are not actually 2 inches by 4 inches. When the board is first rough sawn from the log, it is a true 2x4, but the drying process and planing of the board reduce it to the finished 1.5x3.5 size. Contact Orgadata USA, Inc. At 1-800-746-0641 for promotional information. You can also contact Josh Rudd – josh.rudd@orgadata.com or William Downing – william.downing@orgadata.com directly; how does the training work? The training consists of a 2 day class performed by associates.
1 st approach is the one that requires both coordinates of the two points to be given. 2 nd method is the one that takes account of at least the coordinates of one point plus either the slope or the angle in incline. The algorithm of this slope calculator is based on these formulas: - Slope (M) = (y2-y1)/(x2-x1). View and Download York YCAL Series manual online. AIR-COOLED SCROLL CHILLERS WITH BRAZED PLATE HEAT EXCHANGERS STYLE E. YCAL Series chiller pdf manual download. Also for: Ycal0019ee, Ycal0022ee, Ycal0028ee, Ycal0033ee, Ycal0043ee, Ycal0046ee, Ycal0056ee, Ycal0052ee, Ycal0066ee.
Equation at the end of step 2 :
Step 3 :
Equation of a Straight Line
3.1 Solve y-3x = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ('y=mx+c' in the UK).
'y=mx+b' is the formula of a straight line drawn on Cartesian coordinate system in which 'y' is the vertical axis and 'x' the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-3x = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 0/1 so this line 'cuts' the y axis at y= 0.00000
Calculate the X-Intercept :
When y = 0 the value of x is 0/-3 Our line therefore 'cuts' the x axis at x=-0.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.000 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as 'RUN') we get a change of 6.000 - -0.000 = 6.000 in y. (The change in y is sometimes referred to as 'RISE' and the Slope is m = RISE / RUN)
Geometric figure: Straight Line
- Slope = 6.000/2.000 = 3.000
- x-intercept = 0/-3 = -0.00000
- y-intercept = 0/1 = 0.00000
sin(theta) = a / c | csc(theta) = 1 / sin(theta) = c / a |
cos(theta) = b / c | sec(theta) = 1 / cos(theta) = c / b |
tan(theta) = sin(theta) / cos(theta) = a / b | cot(theta) = 1/ tan(theta) = b / a |
csc(-x) = -csc(x)
cos(-x) = cos(x)
sec(-x) = sec(x)
tan(-x) = -tan(x)
cot(-x) = -cot(x)
sin2(x) + cos2(x) = 1 | tan2(x) + 1 = sec2(x) | cot2(x) + 1 = csc2(x) |
sin(x y) = sin x cos y cos x sin y | ||
cos(x y) = cos x cosy sin x sin y |
tan(x y) = (tan x tan y) / (1 tan x tan y)
sin(2x) = 2 sin x cos x
cos(2x) = cos2(x) - sin2(x) = 2 cos2(x) - 1 = 1 - 2 sin2(x)
Ycal 1 6 X 2
tan(2x) = 2 tan(x) / (1 - tan2(x))
sin2(x) = 1/2 - 1/2 cos(2x)
cos2(x) = 1/2 + 1/2 cos(2x)
sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 )
cos x - cos y = -2 sin( (x-y)/2 ) sin( (x + y)/2 )
angle | 0 | 30 | 45 | 60 | 90 |
---|---|---|---|---|---|
sin2(a) | 0/4 | 1/4 | 2/4 | 3/4 | 4/4 |
cos2(a) | 4/4 | 3/4 | 2/4 | 1/4 | 0/4 |
tan2(a) | 0/4 | 1/3 | 2/2 | 3/1 | 4/0 |
Ycal 1 6 X 2 2
Given Triangle abc, with angles A,B,C; a is opposite to A, b oppositite B, c opposite C:a/sin(A) = b/sin(B) = c/sin(C) (Law of Sines)
| (Law of Cosines) |
(a - b)/(a + b) = tan 1/2(A-B) / tan 1/2(A+B) (Law of Tangents)