To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band

[recall



or 20(x+5) if you wish.
Answer:
7.9
Step-by-step explanation:
area of circle equals π× 5 = 15.7
area of half of the circle equals 15.7÷2
=7.85
now round it of and it's 7.9
5) The slope is: 6
6) Answer: y=-1/2x+3
7) Answer: The slope is: -8, the y intercept is: 6
8) Answer: y=8x+30
Have a good day and a hug :D づ◡﹏◡)づ
Answer:
1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator
there are 2 roots:

For the polynomial that appears in the denominator there is 1 root:

Note that
does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when
Observe the attached image
Note that:
when
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)