3 years ago

Describe a situation that can be modeled by the integer -10.

1 answer:

6 0

Answer:

To start a cupcake stand you need ten dollars from your parents, who tell you that you must pay it back. You open up your stand with 10 dollars of debt.

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Determine and state the coordinates of the center and the length of the radius of a circle whose equation is

Tpy6a [65]

Answer: center = (-3, 2) radius = √23

<u>Step-by-step explanation:</u>

The equation of a circle is: (x - h)² + (y - k)² = r²

where center = (h, k) and radius = r

Complete the square for both x and y:

$x^2+6x+\bigg(\dfrac{6}{2}\bigg)^2+y^2-4y+\bigg(\dfrac{-4}{2}\bigg)^2 = 10 +\bigg(\dfrac{6}{2}\bigg)^2+\bigg(\dfrac{-4}{2}\bigg)^2\\\\\\(x+3)^2+(y-2)^2=23\\\\\\\rightarrow (h,k)=(-3,2)\\\\\rightarrow r^2=23\quad \rightarrow r=\sqrt{23}$