Let x be the money he had originally.
x/3+5=x/2
5=x/6
x=30
So he had $30 originally.
Find the length of AB
AB²=20²+15²
AB²=400+225
AB²=625
AB=25
then find AD and BD
20²=AD·25
400=AD·25
AD=16
15²=BD·25
225=BD·25
BD=9
now use the geometric mean theorem (name?) to find CD
CD=√(9·16)
CD=√144
CD=12 cm
hi <3
lets call our width 'x' and our length '5x'
so lets create an equation with what we know:
5x + 5x + x + x = 60
simplify:
12x = 60
divide both sides by 12:
x = 5
5(5) = 25
therefore, the width is 5m and the length is 25m
hope this helps :)
Answer:
The graph is plotted below.
Step-by-step explanation:
Given:
Starting cart means number of nested carts is 0.
So, let the number of nested carts be represented along the x axis and height of the nested carts be represented along the y axis.
As per question,
When
, the height is 
When
, the height is 
When
, the height is 
So, the points on the graph are (0,4), (13, 23.5) and (18, 31).
Plot these points on a graph and draw a line passing through all these points starting at (0, 4) and ending at (18, 31).
The graph is shown below.
the answer is (f/g)(x) = 2(x^2 - 7) + 1
= 2x^2 - 14 + 1
= 2x^2 - 13