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amid [387]
2 years ago
6

Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

Mathematics
1 answer:
Masteriza [31]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>Given equation:</u>

  • x² + y² + 8x - 4y - 7 = 0

<u>Convert this to standard form by completing the square:</u>

  • (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
  • x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
  • (x + 4)² + (y - 2)² - 27 = 0
  • (x + 4)² + (y - 2)² = 27
  • (x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27

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I thought this would be simple, as I'm familiar with algebra and not really "The constant of proportionality," but I will do my best.

So this said "Constant of proportionality," is referring to basically the answers for the equation when X equals certain numbers.

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y = 2.5x + 3
y = 2.5(1) + 3
y = 2.5 + 3
y = 5.5

Since we plugged in 1 for X and got 5.5 for Y, our input and output is (1, 5.5)

Replace X for a different value, and you will get a bunch of different numbers that will in essence be your function inputs and outputs.  Make a table of these and you have your answer.

EXAMPLE - 
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So there you have it.  I hope this helps!  If you have any further questions, don't hesitate to ask.
3 0
2 years ago
Felicia goes to a doctor's office that has a parking garage below the building. She parks her car four levels below the street l
Contact [7]

Answer:

first off here are the things you need to know:

She parked her car 4 levels below the street

so let's make that 4

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2 years ago
Please help!! ill give BRAINLIEST!!!
kenny6666 [7]

1. Isosceles, right.

2. Scalene, right.

3. Equilateral, acute.

4. Scalene, acute.

5. Isosceles, acute.

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8. Scalene, obtuse.

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3 years ago
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3 years ago
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A rhombus is quadrilateral where all 4 sides are of equal length. Thus


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x = 10/3

substituting x into either expression, yields

56/3

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3 years ago
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