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Serhud [2]
3 years ago
7

Find the center and the radius of the circle with the equation: x2+6x+y2+4y+12=0

Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

centre = (- 3, - 2) , radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

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Step-by-step explanation:

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A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange. They also need $7.30 for
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Answer:

A fruit stand has to decide what to charge for their produce.

They need $ 5.30 for 1 apple and 1 orange.

They also need $ 7.30 for 1 apple and 2 oranges.

TO DETERMINE

To put this information into a system of linear equations.

TO find a unique price for an apple and an orange

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Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get

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Equation (2) - Equation (1) we get

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No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

<h3>How to form a linear equation</h3>

Let the time taken to play basketball be "x"

Let the time taken to play volleyball be "y"

According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;

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The pair of linear equations that represents the statement are:

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The time it takes Eric to play volleyball every day is expressed as:

y = 95 - x

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Step-by-step explanation:

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