3 years ago

(01.04)

Mathematics

1 answer:

Neko [114]3 years ago

3 0

33 represents how many people that were seen on the street at the time when writing the equation

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Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

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3 years ago

A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour how many tablespoons

omeli [17]

There are 8 sets of 21 cups in 168 cups so 9 times 8 is 72

8 0

2 years ago

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Which of the following ordered pairs a solution to the equation?

dmitriy555 [2]

(-3,7)

5(-3)+2(7)=-1

-15+14=-1

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2 years ago

I need help ! For a major quiz grade. Can y’all tell me what is the answer ?

slava [35]

Answer:The answer is C

Step-by-step explanation:

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2 years ago

Need help fast!!!!!!

lianna [129]

You need to use the slop formula (y2-y1/x2-x1)

9 -3/5--3
6/5+3
6/8
3/4
The slope is 3/4

8 0

2 years ago

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