You divide your fraction I hope this helps
In uniform circular motion (circular motion at same speed), (tangential velocity)^2/radius = acceleration towards the center of the circle (centripetal acceleration)
<span>Also, radius is the distance to the center of the circle (track). </span>
<span>So, in your case, 15.4m/s^2 = (30.0m/s)^2/(radius) </span>
<span>radius = (900.m^2/s^2) / (15.4m/s^2) </span>
<span>radius = 58.4m</span>
Slope-intercept form is y=ax+b where a is the slope and b is the y-intercept.
Start by getting y alone on one side.
5x-7y=-45
5x+45=7y
Then divide both sides by 7 to get y alone.
y= 5/7x + 45/7
An intersection point, is a shared coordinate. If the equations share a coordinate we can say they are "equal". There are two ways (algebraically) to find this point. Substitution or linear combination. Because the coefficients are different, let's use linear combination
First stack the equations on top of each other.
2x + 3y = 5
3x + 4y = 6
Next let's manipulate one or both of the equations to get coefficients that are equal, but opposite. For this I'm going to turn the coefficient of x into 6 and -6 respectively by multiplying the first equation by 3 and the second by -2 to get
6x + 9y = 15
-6x -8y = -12
Now we can combine the equations with addition and the x's will cancel leaving a single variable (which we can solve)
y = 3
Now plug this back into either original equation to find the x coordinate.
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2.
So your intersection point is (-2,3)
Are there any parenthesis? I think you might have skipped out on them.
