What is 2 1/3 ×4 7/8 in simplest form?
1 answer:
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Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
or
Step-by-step explanation:
first use the y2-y1/x2-x1 formula then use y=mx+b after
plug in 2 for y2 and -1 for y1
plug in -5 for x2 and 5 for x1
=
2+1=3
-5-5=-10
is ur slope
_____________________
this is the y=mx+b formula *extra info ig*
i usually use the first point for this but u can use watever point u want
plug in 5 for x
plug in -1 for y
and plug -3/10 for m
-1=-3/10(5)+b
-3/10*5=-3/2
-1=-3/2+b
add -3/2 on both sides
-1+3/2=1/2
1/2=b and b is ur y-intercept
y=-3/10x+1/2
hope this helps