Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
2.1
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
2.1
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
5
and
r
=
2.1
.
a
n
=
(
5
)
⋅
(
2.1
)
n
−
1
Remove parentheses around
2.1
.
a
n
=
5
⋅
2.1
n
−
1
Step-by-step explanation:
<h3>
Answer: choice F) 12 & 1/2 square yards.</h3>
=====================================================
We'll use this formula
a & b/c = (a*c + b)/c
to convert from a mixed number to an improper fraction.
Let's convert the first mixed number to an improper fraction
a & b/c = (a*c + b)/c
3 & 3/4 = (3*4 + 3)/4
3 & 3/4 = 15/4
Repeat the same idea for the second mixed number as well
a & b/c = (a*c + b)/c
3 & 1/3 = (3*3 + 1)/3
3 & 1/3 = 10/3
--------------------
In short we have
- 3 & 3/4 = 15/4
- 3 & 1/3 = 10/3
Doing these conversions is useful to be able to multiply the values like so:
(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2
Now use your calculator to find that 25/2 = 12.5
We can then say....
12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2
The answer is choice F) 12 & 1/2 square yards.
Answer:
slime
Step-by-step explanation:
Distance Formula: 
Point 1: (9,0)
Point 2: (5,-8)
D = sqrt[ (5 - 9)^2 + (-8 - 0)^2 ]
D = sqrt[ (-4)^2 + (-8)^2 ]
D = sqrt[ 16 + 64]
D = sqrt(80)
Hope this helps!
The answer would be x= 4,-4
