The polar coordinate of any point can be written as:
(r, θ) = (r, θ + 2nπ) when positive
(r, θ) = [ - r, θ + (2n + 1)π ] when negative
The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).
When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)
When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.
Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].
Answer:
domain: 2x+1 not equal to zero, then x not equal to -1/2
Set 2x+1>0
then x>-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)<=0.01^(5x-8)
(10^2)^(3-4x)<=[10^(-2)]^(5x-8)
10^[2*(3-4x)]<=10^[(-2)*(5x-8)]
10^(6-8x)<=10^(16-10x)
6-8x<=16-10x
2x<=10
x<=5
combine x>-1/2 and x<=5
then - 1/2<x<=5
Set 2x+1<0
then x<-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)>=0.01^(5x-8)
(10^2)^(3-4x)>=[10^(-2)]^(5x-8)
10^[2*(3-4x)]>=10^[(-2)*(5x-8)]
10^(6-8x)>=10^(16-10x)
6-8x>=16-10x
2x>=10
x>=5
combine x<-1/2 and x>=5
, then x does not exist while 2x+1<0
so answer is - 1/2<x<=5
Answer
let the first number be x
second number be y
5*(x)+y=-21---------->equation 1
2*(x)+y=-9------------->equation2
<h2>
eq1 * 2:</h2>
2(5x+y)=2*-21
10x+2y=-42
<h2>
eq2 * 5:</h2>
10x+5y=-45
10x+2y=-42
-(10x+5y=-45)
-----------------
0 - 3y=3
y=3/-3
<h2>
y=-1</h2><h3>
sub y=-1 in eq1;</h3><h3>
5x+y=-21</h3><h3>
5x+ -1=-21</h3><h3>
5x-1=-21</h3><h3>
5x=-21+1</h3><h3>
5x=20</h3><h3>
x=20/5</h3><h2>
x=4</h2><h2>
y=-1</h2>
Answer:
14.2 inches
Step-by-step explanation:
Given
1 inch = 14 feet
Required
Find the equivalent of 199 feet
Write out the given expression;
1 inch = 14 feet
Divide both sides by 14
Let x represent the equivalent of 199 feet in inches;
Such that:
Substitute
becomes
<em>x = 14.2 inches (Approximated)</em>