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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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Answer you get brainliest and we can be buddies. (i am very loney)
kolbaska11 [484]

Answer:

10017

Step-by-step explanation:

10^(4)-\sqrt(121)+3^(3)+4^(0)

So, 3^3= 27

4^0=1

10^4=10,000

-square 121= -11

So now you got:

10,000-11+27+1

=10017

4 0
2 years ago
Read 2 more answers
38. For the following exercises, sketch a line with the given features.
zhannawk [14.2K]

Answer:

see image

Step-by-step explanation:

The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)

The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)

Two points determine a line.

Draw a line through the two points given. See image.

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2 years ago
Benny has a baseball card collection he has 13,789 cards he wants to put the card in a scrapbook that holds 15 cars on a page ho
Andrews [41]

Answer:

920 pages

Step-by-step explanation:

Divide 13,789 by 15, you should get 919.27 so just round up so you can hold <em>all </em>the cards.  

3 0
2 years ago
I had fell asleep but this for the nikkas det wanted to see what i look like &lt;3
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Answer:

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Step-by-step explanation:

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3 years ago
Problem 2:
kifflom [539]

Answer:

The answers to the questions about problem 2 are:

  1. The fraction of the length after Priya stops two times is 3/4.
  2. The fraction of the length after Priya stops four times is 15/16.
  3. Priya will never reach the end of the hallway.

Step-by-step explanation:

The explanation about each answer is below:

1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:

\frac{1}{2}/2=\frac{1}{4}

If you add the two values you obtain the total distance traveled by Priya:

\frac{1}{2}+\frac{1}{4}= \frac{3}{4}

And the distance traveled in two stops is 3/4 of the total length of the hallway.

2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:

\frac{1}{4}/2=\frac{1}{8}

And in the fourth stop she will travel half of the remaining, I mean:

\frac{1}{8}/2=\frac{1}{16}

Now, we add all the values of the distances obtained:

\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}

So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.

3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.

3 0
3 years ago
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