It often works well to separate the constant term from the others, then complete the square by adding the square of half the linear term coefficient.
w² + 6w = 11
w² + 6w + 3² = 11 + 3² . . . . add the square of half of 6
(w +3)² = 20 . . . . . . . . . . . . simplify
w + 3 = ±√20 . . . . . . . . . . . take the square root
w = -3 ± 2√5 . . . . . . . . . . . .subtract 3, simplify
Answer:
4
Step-by-step explanation:
Mean is another way to say the average of a set of numbers. To find the average you need to add all the numbers in the set together, and then divide by the amount of numbers that where given.
In this case:
6 + 8 + 2 + 0 + 4 + 5 + 3 = 28
there are 7 numbers given in the set, so you divide 28 by 7 to get your mean.
28 / 7 = 4
Answer:
25.59
Step-by-step explanation:
The first thing that you will do is solve parenthesis (remember PEMDAS).
(32.45-4.8) - 2.06
(27.65) - 2.06
Then do the subtraction.
(27.65) - 2.06=
25.59
Hope this helps!
We know that
We can write an Arithmetic Sequence as a rule:
<span>an = a1 + d(n−1)</span>
where
<span>a1 = the first term
<span>d =the "common difference" between terms
in this problem
a1=15 a2=7 a3=-1 a4=-9 ..... an=-225
d=a2-a1
d=7-15-----> d=-8
</span></span>an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31
the answer is31
Answer:
<h2>80 cm²</h2><h2 />
Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm²
A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²