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Korvikt [17]
3 years ago
14

What is the center of the circle with the equation: X2 + y2 +18x + 14y + 105 = 0

Mathematics
1 answer:
professor190 [17]3 years ago
8 0

Answer:

(9, -7)

Step-by-step explanation:

x^2+y^2+18x+14y+105=0\\

Rearrange like x and y terms next to each other, then complete the square on both.

(x-9)^2-361 + (y+7)^2 - 49 + 105 = 0

The negative of the # numbers instead the brackets give you the centre of the circle.

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Solve for x<br> 3x + 6 over 3 = 6
Svetradugi [14.3K]

Answer:

X= 4

Step-by-step explanation:

3x+6/3=6

multiply each side by 3 to get rid of the fraction bar

3x+6=6*3

3x +6=18

-6 from both sides

3x= 18-6

3x=12

divide by three on both sides to solve for x

x=12/3

x=4

3 0
2 years ago
Y is inversely proportional to x and y = 24 when x = 2.
bija089 [108]

Answer:

k = 48

For x = 6, y = 8.

Step-by-step explanation:

The general equation for inverse variation is

y = k/x

We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.

24 = k/2

k = 24 * 2 = 48

Now that we know k = 48, the equation for our case is

y = 48/x

Now we plug in x = 6 and find y.

y = 48/x

y = 48/6

y = 8

6 0
3 years ago
M3L3
eduard

The area of the David's pantry = 10 square feet.

The length of the pantry = 5 feet.

<h3>Define the term area of the rectangle?</h3>
  • The territory inhabited by a rectangle inside its 4 sides or limits is known as its area.
  • The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.

For the given question.

  • David's kitchen is 60 square feet in size.
  • The kitchen is six times the size of the living room.

Thus,

Area of kitchen  = 6 x area of the pantry

60 = 6 x area of the pantry

area of the pantry = 60 / 6 = 10 square feet.

Area of the pantry = length x breadth

10 = length x 2

length = 10/2 = 5 feet.

Thus, the length of the pantry is found as the 5 feet.

To know more about the area of the rectangle, here

brainly.com/question/16239445

#SPJ4

6 0
9 months ago
1. Determine if the two expressions are equivalent and explain your reasoning.
Elena-2011 [213]
1. Yes because of the constant and coefficient if you add it. Like the answer is 5m +4.

6 0
3 years ago
What is one benefit to lifelong physical activity? healthier diet lower risk of stroke organized daily schedule lower chance of
Fiesta28 [93]
Lower risk of stroke should be the answer
5 0
3 years ago
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