Expression with parenthesis: = 2 ( l + w)
Expression without parenthesis = 2l + 2w
The property we used is known as "Distributive Property"
Let, width = w
Length = w + 70
Perimeter would be: P = 2(w+70+w)
p = 2(2w+70)
p = 4w + 140
Hope this helps!
Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = 
width = 
Area of road with pool = 

Area of road = (Area of road with pool ) -(area of pool)
![\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20112%20%3D4w%5E2%2B48w%2B135-%20135%5C%5C%5C%5C%5CRightarrow%5C%20112%3D%204w%5E2%2B48w%5C%5C%5C%5C%5CRightarrow%5C%204%20w%5E2%2B48w-112%3D0%5C%5C%5C%5C%5CRightarrow%5C%20w%5E2%2B12w-28%3D0%5C%20%5C%20%5C%20%5B%5Ctext%7BDivide%20both%20sides%20by%204%7D%5D%5C%5C%5C%5C%5CRightarrow%5C%20w%5E2%2B14w-2w-28%3D0%5C%5C%5C%5C%5CRightarrow%5C%20w%28w%2B14%29-2%28w%2B14%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%28w%2B14%29%28w-2%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%20w%3D-14%5C%20or%20%5C%20w%3D2)
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
Answer:
r = 8
Step-by-step explanation:
The common ratio r of a geometric sequence is
r =
=
= ..... = 
Then
r =
=
= 8
Answer:
<em>s= </em>-5.57 (rounded to the nearest hundredth)
Step-by-step explanation:
1. Multiply s and 2 by 7.
You'll get -7s-14. We'll come back to this later
2. Subtract 12 from 37.
You'll get 25
3. Add 14 to both sides so that you cancel out the -14.
The equation stands as -7s= 39
4. Divide both sides by -7 so that we leave <em>s </em>by itself.
s= -5.57142857
Answer:
26/10 is your answer
Step-by-step explanation:
2 6/10 = 26/10
2 is your whole and 6 is your numerator and 10 is your denominator since 6 is in the TENTHS place.