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3 years ago

La desigualdad para comparar los numeros 11 y ‐9

Mathematics

1 answer:

BaLLatris [955]3 years ago

8 0

Answer:

dont speek that language

Step-by-step explanation:

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

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2 years ago

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Choose the number sentence that shows the identity property of addition. A. 45 = 0 + 45 B. 90 = 45 + 45 C. 46 = 1 + 45

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Answer:

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Step-by-step explanation:

The identity property of addition simply states that when you add zero to any number, it equals the number itself.

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3 years ago

2025bellikar avatar

Novosadov [1.4K]

Answer:

sweet

Step-by-step explanation:

This took 80 minutes

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2 years ago

La desigualdad para comparar los numeros 11 y ‐9​

La desigualdad para comparar los numeros 11 y ‐9