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Advocard [28]
3 years ago
6

Which statement describes how to locate the point (0, 2) from the origin on a coordinate grid

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer: count 0 units to the right and count 2 units up

Step-by-step explanation:

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(1 point) (a) The Cartesian coordinates of a point are (1,1). (i) Find polar coordinates (r,θ) of the point, where r>0 and 0≤
Gre4nikov [31]

Answer:

P(1, π/4)

P(-1, π/4)

P(4, 5π/6)

P(-4, 5π/6)

Step-by-step explanation:

Knowing the formulas

r = √(x²+y²)

θ = Arctg (y/x)

we have

a) P(1, 1)

i)  

r = √(1²+1²) = +1

r = +1

θ = Arctg (1/1) = π/4

P(1, π/4)

ii) r = √(1²+1²) = -1

r = -1

θ = Arctg (1/1) = π/4

P(-1, π/4)

b) P(2√3, -2)

i)  

r = √((2√3)²+(-2)²) = +4

r = +4

θ = Arctg (-2/2√3) = 5π/6

P(4, 5π/6)

ii)

r = √((2√3)²+(-2)²) = -4

r = -4

θ = Arctg (-2/2√3) = 5π/6

P(-4, 5π/6)

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4 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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