Answer:
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Step-by-step explanation:
Answer:
One is 89 , the other is 33.
Step-by-step explanation:
Set up a system of 2 equations:
x + y = 122
x - 2y = 23 Subtracting:
0 + 3y = 99
y = 33.
So:
x + 33 = 122
x = 122 -33 = 89.
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>
