All categories

3 years ago

X2 + y2 + 6x – 2y+3 = 0? What is the radius of a circle with the equation

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer:

Step-by-step explanation:

hello : write this expression

X² + y² + 6x – 2y+3 = 0 in the standard form

(x²+6x) +(y²-2y) +3 = 0

(x²+6x+9 -9) +(y²-2y+1 - 1) +3 = 0

(x²+6x+9) -9 +(y²-2y+1) - 1 +3 = 0

(x+3)²+(y-1)² = 7(the standard form)

but : 7 = (√7)²

<h2>the radius is : √7</h2>

You might be interested in

What is the area of this figure?

nalin [4]

Answer:

290.5 square miles

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$

Solution; 290.5 square miles

4 0

3 years ago

A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.

Nikitich [7]

Given:

A line contains the points R(-1, 8), S(1, 4) and T(6, y).

To find:

The value of y.

Solution:

Three points are collinear if:

$x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0$

A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.

$-1(4-y)+1(y-8)+6(8-4)=0$

$-4+y+y-8+48-24=0$

$2y+12=0$

Subtract 12 from both sides.

$2y=-12$

Divide both sides by 2.

$y=\dfrac{-12}{2}$

$y=-6$

Therefore, the value of y is -6.

3 0

3 years ago

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

antoniya [11.8K]

10 cents, cause the {ball +$1.00=$1.10} subtract $1 from both sides the ball=$0.10

8 0

3 years ago

Read 2 more answers

How many different license plates are possible if a license plate consists of 2 capital letters followed by 5 digits?

Alina [70]

The first letter can be any one of 26 letters. For each one . . .
The second letter can be any one of 26 letters. For each one . . .

The first digit can be any one of 10 digits. For each one . . .
The second digit can be any one of 10 digits. For each one . . .
The third digit can be any one of 10 digits. For each one . . .
The fourth digit can be any one of 10 digits. For each one . . .
The fifth digit can be any one of 10 digits.

The total number of possibilities is

(26 x 26 x 10 x 10 x 10 x 10 x 10) =

( 26² x 10⁵) = (676 x 100,000) = 67,600,000 .

6 0

4 years ago

Read 2 more answers

5(y+2)= -3 Whats the answer TvT

Iteru [2.4K]

Answer:

The answer is given below

Step-by-step explanation:

$(5y + 10) = - 3$