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Valentin [98]
3 years ago
8

Determine the general form of the equation for the circle (x – 1)2 + (y + 2)2 = 3.

Mathematics
1 answer:
12345 [234]3 years ago
6 0

(x-1)(x-1) + (y+2)(y+2) = 3

x2 -1x -1x + 1 + y2 +2y +2y +4=3

x2 +y2 -2x +4y + 2=0

A is the answer

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Factor each expression 8+16
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2 years ago
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-8p^4+12p^3+4p^4-8p^2+3p^2
Umnica [9.8K]

Answer:

-8p^4+12p^3+4p^4-8p^2+3p^2

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3 0
2 years ago
What is the exact distance from (-5,1) to (3,0).
Ilya [14]

Answer:

The distance between the two points is \sqrt{65} \ \text{units}.

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

\displaystyle \bullet  \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

\bullet  \ \ \ (x_1, y_1), (x_2, y_2)

This assigns a name to our points:

  • x_1 = -5
  • y_1 = 1
  • x_2 = 3
  • y_2 = 0

Therefore, we can plug these into the formula and solve:

d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}

Therefore, the distance between the two points is \sqrt{65} \ \text{units}.

5 0
2 years ago
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zaharov [31]

Answer:

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Step-by-step explanation:

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Radius r = 4 cm

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Volume of solid

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Volume of solid = (2/3)πr³ + πr²h

Volume of solid = (2/3)π(4)³ + π(4)²(12)

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5 0
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Answer:1385.44mm sq

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