All categories

3 years ago

Complete the square please.

Mathematics

1 answer:

Aleks04 [339]3 years ago

3 0

Answer:

(x-3)^2 + (y+2)^2 = 9^2

Step-by-step explanation:

x^2 -6x+y^2+4y-68 = 0

Complete the square

x^2 -6x+y^2+4y-68+68 = 0+68

x^2 -6x+y^2+4y = 68

Find the term to add for x

-6 /2 = -3 -3^2 = 9

Find the term to add for y

4/2 =2 2^2 = 4

Add 9 and 4

x^2 -6x+9+y^2+4y+4 = 68+9+4

(x-3)^2 + (y+2)^2 = 81

(x-3)^2 + (y+2)^2 = 9^2

The standard form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

You might be interested in

By which when 625 is divided , will make the quotient a perfect cube

Mrac [35]

Answer:

$\boxed{\bold{\huge{\boxed{5}}}}$

Step-by-step explanation:

625 when divided by 5 gives 125 which is a perfect cube.

=> $\sf \frac{625 }{5 } = 125$

$\rule[225]{225}{2}$

$\sf \ \sqrt[3]{125} = 5$

So, 5 needs to be divided by 625 to make the quotient a perfect cube!

6 0

3 years ago

A train is spotted 10 miles south and 8 miles west of an observer at 2:00 pm. At 3:00 pm the train is spotted 5 miles north and

belka [17]

This question is not a good question to ask, it is confusing, and is to complex, In brainly you are supposed to post 1 question at a time not 2 in 1 3in 1 4 in 1 e.t.c.

Sorry i couldnt help you, if you were to post separate questions i would be able to

5 0

3 years ago

Can someone PLS solve this mystery story.

nata0808 [166]

Answer:

ill start figuring it out now luv <3

Step-by-step explanation:

3 0

3 years ago

Help meee with thisss pls

Oksanka [162]

I believe the answer is 69

7 0

3 years ago

The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x?

Ahat [919]

Answer:

x = 11.4

Step-by-step explanation:

The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:

5x + 8x + (2x +9) = 180

Combine like terms: 15x + 9 = 180

Use inverse operations: 15x + 9 - 9 = 180 - 9

15x = 171 or x = 11.4

Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180

8 0

3 years ago