When rolling a standard number cube, each number 1-6 has an equally likely chance of being rolled (1/6).
They also have an equally likely chance of NOT being rolled (5/6).
P(number is not a 3) = 5/6
LETTER D
X0, y0 is the constraints of the system. Hope this helps! ;)
Forms for the equation of a straight line
Suppose that we have the graph of a straight line and that we wish to find its equation. (We will assume that the graph has x and y axes and a linear scale.) The equation can be expressed in several possible forms. To find the equation of the straight line in any form we must be given either:
two points, (x1, y1) and (x2, y2), on the line; or
one point, (x1, y1), on the line and the slope, m; or
the y intercept, b, and the slope, m.
In the first case where we are given two points, we can find m by using the formula:
Once we have one form we can easily get any of the other forms from it using simple algebraic manipulations. Here are the forms:
1. The slope-intercept form:
y = m x + b.
The constant b is simply the y intercept of the line, found by inspection. The constant m is the slope, found by picking any two points (x1, y1) and (x2, y2) on the line and using the formula:
2. The point-slope form:
y − y1 = m (x − x1).
(x1, y1) is a point on the line. The slope m can be found from a second point, (x2, y2), and using the formula:
3. The general form:
a x + b y + c = 0.
a, b and c are constants. This form is usually gotten by manipulating one of the previous two forms. Note that any one of the constants can be made equal to 1 by dividing the equation through by that constant.
4. The parametric form:
The equations are:
1. 2.35y = 4.70
2. k/3 = 17
3. 4 = 10w
4. 55x = 111
5. 8 = a/5
Answer:
the equations that apply are:
1. 2.35y = 4.70
3. 4 = 10w
4. 55x = 111
Step-by-step explanation:
We want to determine which if the equation we can use the division property of equality to solve.
1. 2.35y = 4.70
We can divide both sides by 2.35, so that
2.35y/2.35 = 4.70/2.35
y = 4.70/2.35
THIS WORKS
2. k/3 = 17
THIA DOESN'T WORK
3. 4 = 10w
dividing both sides by 10
4/10 = 10w/10
w = 4/10
THIS WORKS
4. 55x = 111
Divide both sides by 55
55x/55 = 111/55
x = 111/55
THIS WORKS
5. 8 = a/5
THIS DOESNT WORK
