Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Well the period of the tan(x) function is π. It means that when you add π on X axis you will get the same y axis value.
There is a little trick to find the period of functions like yours.
You just divide period of basic tan(x) function with, in your case 3.
So this mean you have
To = π/3
Function intercepts x axis when function is equal to 0.
tan(3x) = 0
3x = k * π
x = k * (π / 3)
There are only vertical asymptotes in tangent function.
You can easily see it if you look at the graph
tan(x) = ∞ , (π/2 + kπ)
tan(x) = -∞ (-π/2 + kπ).
x = π/2 + kπ
x = - π/2 + kπ
tan(3x) = ∞
3x = π/2 + kπ
x = π/6 + kπ/3
tan(3x) = -∞
3x = -π/2 + kπ
x = -π/6 + kπ/3
Answer:
1/4, or 0.25 inches
Step-by-step explanation:
You count the dots. The number of dots tell you how many of each length of string she used.
You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.
Thanks for the points, and have a blessed day. Hope this helps.
The correct answer is 126
Hello from MrBillDoesMath!
Answer:
x = 3
Discussion:
(
23 + 3x) + (8x-41) = 15 =>
23 - 41 + 3x + 8x = 15 =>
-18 + 11x = 15 =>
11x = 15 + 18 = 33 =>
x = 33/11 = 3
Thank you,
MrB
