The matrix

has eigenvalues
such that





for all values of
, so we need to have
in order for
to be real-valued. This happens for

where
is any integer, and over the given interval we have
and
.
One it's 680, 010 it could be help to you I hope you need it
Answer:
2, -6
Step-by-step explanation:
x^2 + 4x - 12
A = 1
B = 4
C = -12
i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work
for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X
the bottom part of the x will be your B value which is 4
we have to find multiples of -12 that will also add to 4
so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work
i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula
It has to be 30,40,50
Due to Pythagoras Theron it suggests that longer sides is a*2 and b*2 and 30 and 40 square is 2500
2500 square is 50 meaning it makes this statement true
All others are wrong
Answer:
80 ft (b)
Hope it helps
Step-by-step explanation:
Circumference= π * diameter
Since the circumference is given..
250 = πd
d = 250/π
= 250/3.14
= 79.6
= 80 feet approx