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3 years ago

What are the center and radius of the circle defined by the equation x2 + y2 - 6x+By+21=0 ?

Mathematics

1 answer:

podryga [215]3 years ago

5 0

(x-3)2+(y+B2)2+By=-12+B24

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Solve this quadratic equation by completing the square.

nadya68 [22]

Answer:

$x=-3+\sqrt{27}\\ x=-3-\sqrt{27}$

Step-by-step explanation:

Let's find our C value for the quadratic equation.

$(\frac{6}{2})^{2} = 9$

That is our C. Since we added 9 to one side, we have to do the same to the other. We get:

$x^{2} +6x + 9 = 18 + 9\\x^{2} +6x + 9 = 27$

Now, lets form the left side as a binomial squared.

$(x+3)^{2} = 27$

Let's square both sides now:

$x+3 = (+/-)\sqrt{27}$

Now, we subtract 3 from both sides to isolate the variable, X:

$x= -3(+/-)\sqrt{27}$

This means that the answers are:

$x=-3+\sqrt{27}\\ x=-3-\sqrt{27}$

I do not understand your answers though. Answer A makes no sense, answer B is 221, answer C is 115, and answer D also does not make sense. If you could clarify this portion, maybe I can help you find your alphabetic answer

3 0

3 years ago

Please help and thank you

Diano4ka-milaya [45]

$\sqrt{1600 \times 4}$

40*2

= 80

Answer :C

7 0

3 years ago

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A book is in the shape of a right rectangular prism. It measures 812 inches tall, 7 inches wide, and 212 inches thick.

ki77a [65]

We know that
the Volume of a prism=a*b*c
a----> tall--------> 8 1/2 in=8.5 in
b-----> wide-----> 7 in
c-----> <span>thick-----> 2 1/2 in=2.5 in
therefore
V=8.5*7*2.5=148.75 in</span>³------------equal a 148 3/4 in³

the answer is the option <span>c 148 3/4 in³</span>

3 0

3 years ago

Describe a Real world situation that is modeled by dividing two fractions or mixed numbers?

zmey [24]

Maybe if you need to measure a piece of clothing

6 0

3 years ago

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Plz help me I am timed plz

lys-0071 [83]

Answer:

it's D

Step-by-step explanation:

step 1 : add all the numbers

80 +100+20 +40

=240

step 2: divide the total by how many numbers there are

240÷4

=60

7 0

3 years ago

Read 2 more answers