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liubo4ka [24]
3 years ago
11

Convert (1, 1) to polar form. A. (2,459 B. (1,459) C.(2, 2259) D.(72,459)

Mathematics
2 answers:
timama [110]3 years ago
5 0

Polar form: (r,θ)

Using these formulas:

x²+y²=r²

tan(θ)=y/x

We have the point (1,1) in cartesian coordinates. We need to find r and θ to get it in polar form.

r²=1²+1²

r²=2

r=±√2

tan(θ)=1/1

tan(θ)=1

θ=π/4 radians or 45 degrees

Polar coordinates: (√2,π/4)

Those answer choices look strange. Are you sure these are the right answer choices?

erma4kov [3.2K]3 years ago
4 0

Answer:

Step-by-step explanation:

The way I see it, (1, 1) corresponds to a point which is √2 units from the origin and has an angle of 45° (or π/4 radians).

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Solve the system below using substitution write your final answer as a coordinate point
Mademuasel [1]

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

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y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

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x = 3

We evaluate y by substitution x with 3 in one of the equation;

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(3, -2)

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3 years ago
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