Hey there!
Distance formula:
d = 
Plug in variables:
d = 
Simplify.
d = 
d = 
The distance between the two points is units.
Hope this helps!
Answer:
<u>Width = 7 inches</u>
<u>Length = 23 inches</u>
Step-by-step explanation:
Let :
Equating to area :
- (2x + 9)(x) = 161
- 2x² + 9x = 161
- 2x² + 9x - 161 = 0
- 2x² - 14x + 23x - 161 = 0
- 2x(x - 7) + 23(x - 7) = 0
- x - 7 = 0
- x = 7
Dimensions are :
- <u>Width = 7 inches</u>
- Length = 2(7) + 9
- <u>Length = 23 inches</u>
Answer:
Step-by-step explanation:
2^0 is less than or equal to 1!, because 1<= 1
if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since
(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0
Using the function graph given, it is found that:
When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.
- For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.
- For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.
To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009
