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sergey [27]
3 years ago
15

What is the polar form of the equation? x^2+(y+5)^2=25

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

x=√-y^2-10y

Step-by-step explanation:

step 1:add y^-2 to both sides

x^2+(y+5)^2=25

x^2+y^2+10y+25+-y^2=25+-y^2

x^2+10y+25=-y^2+25

Step 2:add -10y to both sides

x^2+10y+25-10y=-y^2+25+-10y

x^2+25=-y^2-10y+25

step 3:add -25 to both sides

x^2+25-25=y^2-10y+25-25

x^2=-y^2-10y

step 4:take square root

x=√−y^2−10y

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3 years ago
3(x-2) &gt;-3 <br><br> Anyone could help
yan [13]

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...multiply 3

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3 years ago
Read 2 more answers
30. What is the solution to the system of equations? (1 point)
sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

-7x-2y+z=-2\hfill (1)

6x-y-z=-18\hfill (2)

5x+4y-z=18\hfill (3)

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

-7x-2y+z=-2

6x-y-z=-18

_________________

-x-3y=-20

________________

-x-3y=-20

-(x+3y)=-20

x+3y=20\hfill (4)  (since "-" getting cancelled)

Now adding equations (1) and (3)

-7x-2y+z=-2

5x+4y-z=18

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-2x+2y=16

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-2x+2y=16

2(-x+y)=16

-x+y=8\hfill (5)

Now adding equations (4) and (5)

x+3y=20

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4y=28

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y=\frac{28}{4}

Therefore y=7

Substituting y=7 in equation (4)

x+3y=20

x+3(7)=20

x+21=20

x=20-21

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

-7x-2y+z=-2

-7(-1)-2(7)+z=-2

7-14+z=-2

z=-2+7

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

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