It is convenient to start with the 2-point form of the equation for a line.
... y - y1 = (y2 - y1)/(x2 - x1)×(x - x1)
Either point can be (x1, y1), and the other can be (x2, y2). If we take them in order, we get
... y - 4 = (16 - 4)/(5 - 3)×(x - 3) . . . . . fill in the two points
... y = 12/2(x -3) +4 . . . . . . . . . . . . . . add 4, simpliffy a bit
... y = 6x -18 +4 . . . . . . . . . . . . . . . . . eliminate parentheses
... y = 6x -14 . . . . . . . . . . . . . . . . . . . . put in slope-intercept form
Y = mx + b
m = slope of the line
b= y-intercept
Since you are given the point (4,1/3), the y-value is 1/3.
So plug in the numbers and solve for b:
(1/3)= (3/4)*(4) + b
After you solve the equation for b, you should get -2 2/3 or -8/3
No rewrite the equation with the y-intercept, b.
y = (3/4 x) - (8/3)
0.225, 23%, 1/4
Step my step
23% = 0.23
1/4 = 0.25
Answer:
3/5th
Step-by-step explanation:
look at the clock and you see half the clock so when you look at it you would know it is 3/5 because it has one arm and it is in the middle straight up so right on there is 3 and 5 where the dot is.
<h2>
Hello!</h2>
The answer is:
Nicole has to run 6 laps when Marta has run 8 laps.
<h2>Why?</h2>
In order to calculate how many laps will Nicole have to run when Marta has run 8 laps, we need to use two equations.
We must consider that since both Marta's and Nicole's speed are constant all the time, Marta wil always run more laps than Nicole, meaning that there is not possibility for Nicole to run the same number of laps that Marta.
We know that they started at different time at the same constant speed, and when Marta has run 5 laps, Nicole has run 3 laps, there is a difference of 2 laps, and it will be always like that.
So, we can conclude that Marta will always be 2 laps ahead of Nicole.
For Marta we have:
For Nicole we have:
Now, if we want to calculate how many laps will Nicole has to run when Marta has run 8 laps, we need to use the second equation (Nicole's equation) and substitute the number of laps (Marta's lap), so, substituting and calculating we have:
Hence, we have that Nicole has to run 6 laps when Marta has run 8 laps.
Have a nice day!
