3 years ago

Which conic section does the equation below describe? x^2+y^2+2x-8y-13=0

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer: B) Circle

Step-by-step explanation:

First, complete the square:

x² + 2x + 1 + y² - 8y + 16 = 13 + 1 + 16

↓ ↑ ↓ ↑

(2/2) = (1)² (-8/2) = (-4)²

(x + 1)² + (y - 4)² = 30

The result is a circle whose center is (-1, 4) and radius is √30

You might be interested in

What is the result of subtracting the second equation from the first? \begin{aligned} -7x-y &= 0 \\\\ 7x+8y &= -6 \end{a

Kitty [74]

Answer:

$-14x-9y=6$

Step-by-step explanation:

We are given with two equations

first equation is $-7x-y=0$

second equation is

$7x+8y=-6$

we find the result of subtracting two equation

subtract the second equation from the first, so

first equation - second equation, multiply second equation by -1 and then add it with first equation

$-7x-y=0$

$-7x-8y=+6$

Now add both equations, we get

$-14x-9y=6$

3 0

3 years ago

In the figure below, DBE is the result of a dilation of ABC with point B as the center of dilation. Which statement best uses th

lilavasa [31]

Answer: the 4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which line segment is a radius of circle F? BE AC AB BF

AlexFokin [52]

I think the best answer is AB

8 0

3 years ago

Can someone help me please please?

erastovalidia [21]

Answer:

Step-by-step explanation:

Count the dot

6 0

3 years ago

Help me to do this please

Tanzania [10]

If x represents the mass of 1 ball in kg, then the balance shows ...

... 6x = x + 9 kg

... 5x = 9 kg

Then 6x is ...

... (6/5)·5x = (6/5)·9 kg = 10.8 kg

0.8 kg = 0.8·1000 g = 800 g

so 10.8 kg is ...

... D. 10 kg 800 g

7 0

3 years ago