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2 years ago

Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

the answer is B (5 square root 2, 315°), (-5 square root 2, 135°)

Step-by-step explanation:

1) Let A be the point (x, y) = (5, - 5)

=> x = 5 and y = - 5

r = √(x² + y²) = √(25 + 25) = √50 = ± 5√2

tan Θ = - 5/5 = - 1

=> Θ = (i) 315º or - 45º ; (ii) 135º or - 225

Hence, the Polar Coordinates of A are (i) (5√2, 315º) (ii) (- 5√2, 135º)

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3 years ago

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3 years ago

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2 years ago

A line in the xy-plane that passes through the coordinate points (3, -6) and (–7, –4) will never intersecta line that is represe

anyanavicka [17]

Answer:

option A

Step-by-step explanation:

given coordinate (3, -6) and (–7, –4)

to find the equation of line

slope of the line passing through both the point will be

$m = \dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{-4+6}{-7-3}$

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$y + 6= -\dfrac{2}{10}(x - 3)$

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line which will not intersect will be parallel to it so option A has same slope as our line equation i.e. -1/5

hence, correct answer is option A

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3 years ago