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miv72 [106K]
3 years ago
15

Write the standard equation of a circle that passes through (-5 5) with center (-10 -5) brainly

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

The equation of the circle is (x + 10)² + (y + 5)² = 125 in standard form

Step-by-step explanation:

* lets study the standard form of the equation of a circle

- If the coordinates of the center of the circle are(h , k) and its radius

 is r, then the standard equation of the circle is:

 (x - h)² + (y - k)² = r²

* Now lets solve the problem

∵ The coordinates of the center of the circle are (-10 , -5)

∵ The standard form of the equation is (x - h)² + (y - k)² = r²

∵ h , k are the coordinates of the center

∴ h = -10 , k = -5

∴ The equation of the circle = (x - -10)² + (y - -5)² = r²

∴ The equation of the circle = (x + 10)² + (y + 5)² = r²

- To find the value of the radius lets use the point (-5 , 5) to

  substitute their coordinate instead of x and y in the equation

∵ The circle passes through point (-5 , 5)

∵ (x + 10)² + (y + 5)² = r²

- Use x = -5 and y = 5

∴ (-5 + 10)² + (5 + 5)² = r² ⇒ simplify

∴ (5)² + (10)² = r²

∴ 25 + 100 = r²

∴ r² = 125

* Now lets write the equation in standard form

∴ (x + 10)² + (y + 5)² = 125

* The equation of the circle is (x + 10)² + (y + 5)² = 125 in standard form

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PLEASE HELP ASAP BRAINLIEST
Pachacha [2.7K]

Hi there!

The term "difference" os the result of subtracting one number from another.

So in other terms you want to know what would be the result of subtracting -4.6 from 13.5 :

13.5 - -4.6 = Difference between the two temperatures


Two minus signs turn into a positive sign so :

13.5 - -4.6 =

13.5 + 4.6 =

18.1 = Difference between the two temperatures


Your answer is : The difference between the two temperatures is 18.1


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
What is the value of (17+8)-6x2?
Marina86 [1]
The answer is 13 for your question
8 0
3 years ago
Help with IXL please
9966 [12]

Answer:

$77.18

Step-by-step explanation:

Fill in your equation like this:

B=70(1+.05)^2 and

B=70(1.05)^2 and

B=70(1.1025) so

B = $77.18

8 0
3 years ago
What is 10+√50<br> -----------<br> 5
zubka84 [21]

Answer:

70.7

Step-by-step explanation:

I put it all together and got 70.7106781187 i cut it

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6 0
3 years ago
Y = x^2+5x-3<br> y-x=2<br><br> What is the solution of the linear-quadratic system of equations
Sunny_sXe [5.5K]

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

8 0
2 years ago
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