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3 years ago

A polynomial g(x) has a factor of (x-a). What is the value of g(a)?

Mathematics

1 answer:

alexdok [17]3 years ago

8 0

This is your answer (x-a).g(a)

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State the line of reflection. A B 2 C D'o Chri А" B Reflection across (type with no spaces) Espacio en Blanco 1:

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Step-by-step explanation:

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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.

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3 years ago

State the gradients and the y intercepts of y=2x+6

LekaFEV [45]

Answer:

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.

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3 years ago