All categories

3 years ago

Polar coordinates of a point are given. Find the rectangular coordinates of the point. (-5, -180°)

1 answer:

4 0

Polar coordinates : r= - 5, α= - 180⁰.
Rectangular coordinates :
x=r*cosα = (-5)*cos (-180⁰)=(-5)*(-1)=5
y=r*sinα = (-5)*sin(-180⁰)=(-5)*0=0

So, (-5, -180°) (polar coordinates) is the same as (5,0) (rectangular coordinates).

You might be interested in

Please help me ASAP it’s really important and I’m stuck

kotykmax [81]

Answer: -3

Step-by-step explanation:

They are going by three down and up

8 0

3 years ago

Solve the system 2x+2y+z=-2 -x-2y+2z=-5 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

$(2)(-1)+2y+(-2)=-2$

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

8 0

3 years ago

Distance between the point (-2, 4) and (10, -1)?

zlopas [31]

Answer:

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

d=√((x_2-x_1)²+(y_2-y_1)²)

√((10)-(-2))^2+(-1)-(4)^2)

√(144+25)

√(169)

4 0

2 years ago

Read 2 more answers

Interest rates on mortgages are lower because the home is _____.

Alchen [17]

Interest rates on mortgages are lower because the home is collateral

7 0

3 years ago

Read 2 more answers

Solve the equation for x: 2.5x = 50

maria [59]

Answer:

x = 20

Step-by-step explanation:

x = 50/2.5 = 2.5x = 50

4 0

2 years ago

Read 2 more answers