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:
a) about 100
b) 600 phones sold total
c) i think it's the phones
Step-by-step explanation:
my bad if u get it wrong or anything
Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
- On comparing this equation to the slope intercept form y = mx + c ,
=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
- Now the line passes through (-1,2 ) . so on using point slope form , we get ,
=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
<h3>
• Hence the equation of line perpendicular to the given line is <u>5</u><u>x</u><u> </u><u>-3y </u><u>+</u><u> </u><u>1</u><u>1</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>.</u></h3>
Answer:
$7,000
Step-by-step explanation:
Let x = the part of $16,000 that was lent at 8%.
Then 16,000 - x is the part that was lent at 16%.
The interest earned at 8% is 0.08x.
The interest earned at 16% is 0.16(16,000 - x).
The total interest earned is 0.08x + 0.16(16,000 - x).
The total interest earned was $2,000, so
0.08x + 0.16(16,000 - x) = 2000
Now we solve for x to find out the amount lent at 8%.
0.08x + 0.16(16,000 - x) = 2000
0.08x + 2560 - 0.16x = 2000
-0.08x + 2560 = 2000
-0.08x = -560
x = 7000
Answer: $7,000