6 x 7 = 42
And the missing number is 8, because 7 x 8 = 56.
(20 + 12) - 8, since the question states n is EIGHT less than the sum of 20 and 12.
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable
in this polynomial is
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to
. The discriminant of this polynomial is
.
.
Similarly:
.
By the Factor Theorem, if
is a root of a polynomial, then
would be a factor of that polynomial. Note the minus sign between
and
.
- The root
corresponds to the factor
, which simplifies to
. - The root
corresponds to the factor
, which simplifies to
.
Verify that
indeed expands to the original polynomial:
.
8. Similar parts


Choice a
9. The Law of Sines says a:b:c and
are the same ratio.
The sines will go in order for acute angles, we have to convert 120 to its supplement 60 and then the order is 29,31,"60" or opposite sides JK, KL, JL
choice b
10.
DEF and FEG are supplments, FEG=180-DEF=180-114=66
DEF and HEG are opposite angles, so congruent HEG=DEF=114
chioce a