Answer:
Length of rectangle = 36 yd and width of rectangle = 9 yd
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 4w (four times the width)
Perimeter of rectangle = 90 yd
We need to find length and width of rectangle.
The formula used will be: ![Perimeter \ of \ rectangle=2(l+w)](https://tex.z-dn.net/?f=Perimeter%20%5C%20of%20%5C%20rectangle%3D2%28l%2Bw%29)
Where l is length and w is width
Putting values and finding length and width of rectangle
![Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9](https://tex.z-dn.net/?f=Perimeter%20%5C%20of%20%5C%20rectangle%3D2%28l%2Bw%29%5C%5C90%3D2%284w%2Bw%29%5C%5C90%3D2%285w%29%5C%5C90%3D10w%5C%5Cw%3D%5Cfrac%7B90%7D%7B10%7D%5C%5Cw%3D9)
So,width (w) of rectangle is w= 9 yd
Finding length of rectangle = 4w = 4*9 = 36 yd
So, length of rectangle = 36 yd and width of rectangle = 9 yd
Notice that the pattern is "previous term plus 2". This is an arithmetic sequence where the difference (d) equals +2
= a₁ + d(n - 1) ; where a₁ is the first term, d is the difference, and n is the term.
f(n) = 1 + 2(n - 1)
f(n) = 1 + 2n - 2
f(n) = 2n - 1
********************************
f(10) = 2(10) - 1
f(10) = 20 - 1
f(10) = 19
0.2 would be 20% written as a decimal.
G(-2) means "evaluate the equation at -2"; it's asking you to swap out the "x" in the equation and sub in -2.
g(x) = x² + 3x - 2 ... plug in -2
g(-2) = (-2)² + 3(-2) - 2 ... simplify
g(-2) = 4 + (-6) - 2 ... add/subtract
g(-2) = -4
Answer:
0.042
Step-by-step explanation: