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tia_tia [17]
3 years ago
9

Which equation represents the circle described? (in picture)

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0
You are right. In circle equation we have =r² so the correct answer will be C od D.  But we have to calculate the center of a circle.

x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24

Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

And we have:

(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}

So the answer is C (the same left side of equation).
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volunteers collected non perishable food items and packed 14 items per box. If the volunteers collected a total fo 200 items, ho
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Do 200/14 and get 14.2857142857 so about 14 boxes
5 0
11 months ago
The statement​ the sum of x and 7​% of x is at least 30​"
tigry1 [53]

Answer:

  x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

__

In consideration of the above, you have ...

  x  plus  7% of x  is at least  30

  x  +  0.07x  ≥  30 . . . . . using math symbols

5 0
3 years ago
I need help and steps of how u got it
Gnom [1K]

Answer:

A)  4

Step-by-step explanation:

There are a couple of ways to get this but this is how I did it:

1.  Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation

1/4 x + 1/8 y = 2

1/4 (1/3 x + 1/2 y = 4)

1/12 x + 1/8 y = 1

2.  Subtract the first equation from the new equation

    1/12 x + 1/8 y = 1

<u>    - 1/4 x - 1/8 y = -2</u>

-1/6 x= -1

3.  Divide both sides by -1/6

  <u>-1/6</u> x= <u>-1</u>

   -1/6    -1/6

     x = 6

4. Substitute 4 in for x in the original equation:

1/4 (6) + 1/8y = 2

6/4 + 1/8y = 2

1/8y = 1/2

  y = 4

3 0
3 years ago
If your expenses are more than your income, then you have a positive net cash flow.
son4ous [18]
False because you dont have the full amount of income you need
7 0
3 years ago
Read 2 more answers
Solve. 6 Everyone at a park was either hiking or riding a bike. There were 24 more hikers than bike riders. If there were a tota
nydimaria [60]

b r = 178 + h;

b r + h = 676;

then, 178 + 2h = 676 => h = 498/2 = 249 => b r = 178 + 249 = 427

Answer:

676

Step-by-step explanation:

h=b+178=427

b=b=249

-------------

(b+178)+b=676

2b+178=676

2b=498

b=249

-------------

249+427=676

Kaneppeleqw and 2 more u

5 0
2 years ago
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