Answer:
Step-by-step explanation:
hello :
Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6
the vertex is : (2 , -6)
now calculate the solutions : (x-2)²-6 =0
(x-2)²= 6 means : x-2 =√6 or x-2 = -√6
x = 2+√6 or x = 2-√6
The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).
<h3>What is a polar coordinate?</h3>
A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
Next, we would determine the distance (r) and angle (θ) as follows:
r = √(3² + (-3)²)
r = √(9 + 9)
r = 3√2.
θ = tan⁻¹(-3/3)
θ = tan⁻¹(-1)
θ = 3π and 7π/4 (second and fourth quadrants).
Converting to degrees, we have:
θ = 135° and 315°.
Read more on polar coordinates here: brainly.com/question/3875211
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Complete Question:
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
Answer:
$900
Step-by-step explanation:
18 x 50 = 900
69.25 i belive for taxes
Answer:
اhello : tan θ = - 12/5
Step-by-step explanation:
tan θ = sin θ / cos θ .... (*)
(cosθ)² + (sinθ)² = 1 ... (**)
theta is in quadrant 2 : cosθ ≤ 0
Substitute sinθ = 12/13 into (**) and solve for cosθ :
(cosθ)² + (12/13)² = 1
(cosθ)² = 1 - 144/169
(cosθ)² = 25/169
cosθ = - 5 /13 because cosθ ≤ 0
by (*) : tan θ = (12/13)/ (-5/13) = (12/13) ×(-13/5)
tan θ = - 12/5
She has a 1 out of 4 chance to pick oatmeal. She must have ESP because those aren’t good odds. No, she is not correct.
