Answer:
8
Step-by-step explanation:
The condition for the discriminant b² - 4ac is
If b² - 4ac > 0 then roots are real, irrational and unequal
If b² - 4ac > 0 and a perfect square, roots are real, rational and unequal.
Thus
b² - 4ac = 8
Answer:
Make use of the fact that as long as
and
:
.
.
.
Step-by-step explanation:
Assume that
and
.
Make use of the fact that
and
to rewrite the given expression as a combination of
and
.
.
Since
:
.
Substitute this equality into the expression:
.
By the Pythagorean identity,
. Rearrange this identity to obtain:
.
Substitute this equality into the expression:
.
Again, make use of the fact that
to obtain the desired result:
.
Okay, assuming that the smallest currency unit is a penny...
we will go with the bottom left statement.
Answer:
2 seconds and 38 seconds
Step-by-step explanation:
h=-16t²-vot
1,200=-16t²-640t
turn this into standard form
16t²-640t+1200=0
now plug thes numbers into the quadratice formula
a 16 b -640 c 1200
solve with quadratic formula to get ≅2 and ≅38 seconds
So 4 to the power of 5 would be 1024
and 4 to the power of 3 would be 64
1024 divided by 64 equals 16