Ok
first of all, for q(x)/p(x)
if the degree of q(x) is less than the degree of p(x),then the horizontal assemtote is 0
then simplify
any factors you factored out is now a hole, remember them
to find the vertical assemtotes of a function, set the SIMPLIFIED denomenator equal to 0 and solve
so
y=(x-5)/(x^2-1)
q(x)<p(x)
horizontal assemtote is y=0
no factors to simplify so no holes
set denomenator to 0 to find vertical assemtote
x^2-1=0
(x-1)(x+1)=0
x-1=0
x=1
x+1=0
x=-1
the horizontal assemtotes are x=1 and -1
Let x = # of 25-cent stamps
y = # of 2-cent stamps
{ x+ y = 88
{ 0.25x + 0.02y = 15.56
60 25-cent stamps 28 2-cent stamps
Answer:
613 meters
Step-by-step explanation:
1)
cos(50 degrees)=324/x
x*cos(50 degrees)=324
x=324/cos(50 degrees)
x=around 504.1
2)
cos(35 degrees)=324/x
x*cos(35 degrees)=324
x=324/cos(35 degrees)
x=around 395.5
now lets find the distance in between the two people:
Distance from Shively to the tower
tan(50 degrees)=x/324
x=324*tan(50 degrees)
x= around 386.1
Distance from Sparzak to the tower
tan(35 degrees)=x/324
x=324*tan(35 degrees)
x=around 226.9
total distance=386.1+226.9=613 meters
The line is going downwards
Solution: negative slope
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° = 
= 
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a = 
≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° = 
= 
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c = 
≈ 24.2 ( to the nearest tenth )
