Complete Question:
Convert 3x-y+2=0 in rectangle form to polar form
Answer:
r ( 3cosθ - sinθ) = -2
Step-by-step explanation:
The equation so given is already in rectangular form, the task is to convert it to polar form.
3x - y + 2 = 0
To transform an equation from the rectangular to the polar coordinate:
x = r cosθ
y = r sinθ
Substitute the representations for x and y into the given equation:
3(r cosθ) - (r sinθ) + 2 = 0
3rcosθ - rsinθ = -2
The polar representation of the equation then becomes:
r ( 3cosθ - sinθ) = -2
Answer:Albert spent more on video games and 1/2>0.4
But Rosa spent more on pizza 2/5>.25
Step-by-step explanation: Rosa spent most of her allowance while Albert spent the least amount so Rosa spent more
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
Solve for <em>b</em> :
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
209 - 146 = 13 <em>b</em> - 4<em> b</em>
63 = 9 <em>b</em>
<em>b</em> = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
I honestly don’t understand