Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
Well when she hits the water h=0 so
2t^2-t-6=0 factor
2t^2-4t+3t-6=0
2t(t-2)+3(t-2)=0
(2t+3)(t-2)=0, since t>0
t=2 seconds...
However it should be noted that h(t)=-2t^2+t+6 implies that
v(t)=dh/dt=-4t+1 and
a(t)=dv/dt=-4
Since this is a free fall equation, this would suggest that the acceleration due to gravity is -4, whether that is supposed to be -4ft/s^2 or -4m/s^2, it certainly is not on this planet! :D If it is -4ft/s^2 it could be on the Moon or if it is -4m/s^2 it could be on Mars.
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
I would say no thats my anwser
Answer:
Step-by-step explanation:
we are given surface area and the length of the square base
we want to figure out the Volume
to do so
we need to figure out slant length first
recall the formula of surface area
where B stands for Base area
and P for Base Parimeter
so
now we need our algebraic skills to figure out s
simplify parentheses:
reduce fraction:
simplify multiplication:
cancel 64 from both sides;
divide both sides by 16:
now we'll use Pythagoras theorem to figure out height
according to the theorem
substitute the value of l and s:
simplify parentheses:
simplify squares:
cancel 16 from both sides:
square root both sides:
recall the formula of a square pyramid
where A stands for Base area (l²)
substitute the value of h and l:
simplify multiplication:
reduce fraction:
hence,
