In this item, it can be seen that from an expression of,
(4 + 5i) + (-3 + 7i)
Aiko transformed the equation by factoring out the i's from the expression and wrote it as,
(4 + 5)i + (-3 + 7)i
Now this is wrong because i there is not a variable but a notation that 5 and 7 are imaginary numbers. In fact, she cannot factor out the i's because it is not present in both -3 and 4. The answer therefore to this item is the last sentence, "Aiko incorrectly used the distributive property by combining ..."
Ok so to find the sum of interior angles the formula is
s=180(n-2)
s is sum and n is the number of sides
so this is a quadrilateral cause it has 4 sides
because of that n=4
substitute
s=180(4-2)
now you can either distribute or do pemdas but its easier and more efficient to just do pemdas
s=180(2)
s=360 degrees
Y = -t ^ 2 + 300t - 16
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
y '= - 2t + 300 = 0
-2t + 300 = 0
t = 300/2 = 150
y'' = - 2
y'' (150) = - 2 (is a relative maximum)
the highest point of the trajectory is reached for t = 150s.
The height for that time is
y = - (150) ^ 2 + 300 (150) - 16 = 67484
answer
67484
t = 150s.
