The value of the y coordinate of any point on the x axis is always 0.
<u><em>Explanation</em></u>
Suppose, the co ordinate of any point is
.
It means, the distance of the point from x-axis is '
' and distance from y-axis is '
'.
Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of '
' will be 0.
So, the value of the y coordinate of any point on the x axis is always 0.
A 15% percent markup means that the typewriter cost was increased by 15%, or 0.15 by moving the decimal 2 places to the left. If the original price was x, and 15% of it is 0.15*x, we can add them up to get 1.15*x=129.95. Dividing both sides by 1.15, we get x=113 dollars
Alright, so you have to have heads and tails, as well as 3 spots each for each even number. Therefore, we need heads with 2 4 6 as well as tails with 2 4 6 (the third one down in the first picture)
First, Use the slope equation to find the slope of the line passing thru these two points:
m=rise/run
Here, the rise is 13-3, or 10, and the run is 7-2, or 5. Thus, the slope, m, is 10/5, or 2: m=2.
We want the slope-intercept form, so let's begin with its general form:
y=mx+b. Substitute the slope 2 for m: y=2x+b. Now choose either of the given points. Arbitrarily I am choosing (2,3). Then x=2 and y=3.
Substituting these values into y=2x+b: 3 = 2(2) + b, or b= 3 -4, or b = -1.
Then the equation of this line, in slope-intercept form, is y = 2x - 1.
Gizmo can eat 10/3 * 2 = 6 2/3 bowls in 10 minutes
Leo can eat 10/6 * 1 = 1 2/3 bowls in 10 minutes
Together they can eat 8 1/3 bowls in 10 minutes.