Hi!
When you add a negative number, you really just subtract it. So let's solve this.
Convert the mixed numbers into improper fractions.
Solve
434 - 351 = 83
The sign of this fraction is positive
Hope this helps! :)
-Peredhel
Determine whether the lines are parallel, perpendicular, or neither. x = 3 and y = 4
1 answer:
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Answer:
A) 0.2g
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8 = (2
)³ ⇒ a = 2
27 = (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2
× 3y²) + (3y²)²)
= (4 + 6
y² + 9
)
Hence the factored form of the expression is C
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.