A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle.
The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
r² = x² + y²
If we are to simplify this for the r alone, we have,
r = sqrt (x² + y²)
Substituting the known values,
r = sqrt ((4)² + (-4)²) = 4√2
The x and y can be related through the trigonometric function, tangent.
tan θ = y/x
To solve for θ
θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°
Hence, the polar coordinate is <em>(4√2, 315°)</em>
Answer:
64y² - 81
Step-by-step explanation:
(8y +9)(8y - 9)
64y² - 72y + 72y - 81
64y² - 81
The correct answer is 45!
I did the math
Answer:
-22
Step-by-step explanation:
equantion: (n + 15).6= -42
n = -22
O+6-2O=-8
subtract 6 from both sides
the equation is then O-2O=-14
combine like terms on the left side
the equation is then -O=-14
divide by -1
final answer is O=14