Step-by-step explanation:
perimeter of a rectangle = 2×length + 2×width = 28 ft
width = length - 2
length = width + 2
2×(width + 2) + 2×width = 28
2×width + 4 + 2×width = 28
4×width + 4 = 28
4×width = 24
width = 6 ft
and the length is width + 2 = 6+2 = 8 ft.
Answer: B. (2,1)
Step-by-step explanation:
its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.
It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.
That's the same thing for A so your answer is b.
Answer:
Option B is correct.
The expression which is equivalent to
is; 
Explanation:
Given the equation:
for all values of n.
The quadratic equation in this form; 
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have

Now, factor the first two terms and last two terms,

we see that
is common to both terms so, we have;

Therefore, the expression
is equivalent to
Check:
(n+4)(n+22) =
=
[ True]
The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

for any
, so the above is the same as

Similarly, we can write

Now it's a question of reducing the fraction as much as possible. We have
so
