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3 years ago

A line that includes the point (-8,-3) has a slope of -1/9. What is it’s equation in point-slope form?

Mathematics

1 answer:

yulyashka [42]3 years ago

4 0

Y+3=-1/9(X+8) is the equation

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Step-by-step explanation:

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3 years ago

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bixtya [17]

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3 years ago

Si se compran tres chicles y un tamarindo y se paga $15 y se compran dos chicles y tres tamarindos y se paga $31 ¿que cuesta cad

lorasvet [3.4K]

Responder:

Explicación paso a paso:

Dejar :

Mascar chicle = x

Tamarindo = y

3x + y = 15 - - - (1)

2x + 3y = 31 - - - (2)

De 1)

y = 15 - 3x - - (3)

Por lo tanto,

2x + 3 (15 - 3x) = 31

2x + 45 - 9x = 31

-7x = 31 - 45

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x = 2

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3 0

3 years ago

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

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

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

3 years ago