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boyakko [2]
4 years ago
5

Point A(3,2) is on a circle whose center is C(−2,3). What is the equation of the circle? Graph it.

Mathematics
1 answer:
Ronch [10]4 years ago
5 0

Answer:

(x+2)² + (y-3)² = 26

The graphic is showed below

Step-by-step explanation:

The circle equation is given by the expression:

(x-a)² +(y-b)² = r²

The point (a,b) represents the center, and r is the radius. So:

(x+2)² + (y-3)² = r²

If the point A (3,2) is on the circle, then we can replace it in the equation to find r:

(3+2)² + (2-3)² = r²

r² = 5² + (-1)²

r² = 25 + 1

r² = 26

So, the circle has radius r = √26, and the equation is:

(x+2)² + (y-3)² = 26

To graph it, we must put the center C(-2,3), then the radius r = √26 and form a circle, like the figure below.

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3 years ago
Given that y=18 + 3x² (i) find the value of y when x= -2
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Answer:

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Step-by-step explanation:

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13) What is the simple interest and total amount earned on $4345 with an interest rate of
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173.80 interest, 4518.80 total

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Xavier ran four miles on his first day of training. The next day he ran eight ninths that distance. How far did he run on the se
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3 years ago
The combined volume of two identical cubes is 250 cubic centimeters. what is the measure of one cubes edge?
HACTEHA [7]

The measure of one cubes edge is 5 cm

<h3>Further explanation</h3>

To solve the above questions, we need to recall some of the formulas as follows:

Volume of Prism = Base Area × Height

Area of Square = (Side Length)²

Volume of Cube = (Side Length)³

Side Length of Cube = ∛ ( Volume of Cube )

Let us now tackle the problem !

<u>Given:</u>

The combined volume of two identical cubes is 250 cm³.

Let : Volume of The Cube = V₁ = V₂ = V

V_1 + V_2 = 250 ~ \texttt{cm}^3

V + V = 250 ~ \texttt{cm}^3

2V = 250 ~ \texttt{cm}^3

V = 250 ~ \texttt{cm}^3 \div 2

V = 125 ~ \texttt{cm}^3

(\texttt{Side Length})^3 = 125 ~ \texttt{cm}^3

(\texttt{Side Length}) = \sqrt[3]{125 ~ \texttt{cm}^3}

(\texttt{Side Length}) = \boxed {5 ~ \texttt{cm}}

<h2>Conclusion:</h2>

The measure of one cubes edge is 5 cm

<h3>Learn more</h3>
  • The perimeter of a polygon : brainly.com/question/6361596
  • The perimeter of a rectangle : brainly.com/question/7619923
  • The perimeter of a triangle : brainly.com/question/2299951
  • Wheat Grass Planters : brainly.com/question/10222529

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Three Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width , Cube , Identical , Edge

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