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lana66690 [7]
3 years ago
13

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and

calculations to receive credit.
x2 + 2x + y2 + 4y = 20
Mathematics
1 answer:
Sliva [168]3 years ago
4 0

Answer:

( x+1)^2  + (y+2)^2 = 25

The center is (-1, -2) and the radius is 5

Step-by-step explanation:

x^2 + 2x + y^2 + 4y = 20

Complete the square

2/2 =1  1^2 =1  so add 1 for x     4/2 =2  2^2 = 4 so add 4 for y

x^2 +2x +1   +y^2 +4y+4 = 20 +1 +4

( x+1)^2  + (y+2)^2 = 25

(x+1) ^2 + (y+2)^2 = 5^2

(x - -1) ^2 + (y -  -2)^2 = 5^2

This is in (x-h)^2 + (y-k)^2 = r^2 form where (h,k) is the center and r is the radius

The center is (-1, -2) and the radius is 5

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OK im confused for real: ok so what does 20X80X100X70X40+4=
8_murik_8 [283]

Answer:

448000004.

Hope that helps. x

4 0
2 years ago
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Jenny's frog made one jump of 2.34 meters. Christina's frog made jumps of 1.22 meters and 0.89 meters.
Angelina_Jolie [31]

Lets go through the steps

1) 1.22 + .89 = 2.11

2) 2.34 - 2.11 = .23

Jenny's frog jumped .23 meters further than Christina's frog.

I hope this helped!

Have a fantastic day!

6 0
4 years ago
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11. A work day is 8 hours. You earn $48 for one work day What is the hourly pay rate? b. At that rate how much would you earn in
Sergio [31]

Answer:

You divide 48 and 8  to get 6 meaning you get $6 an hour.

6 x 5 = $30, soin 5 hours you get $30

Step-by-step explanation:

6 0
3 years ago
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Evaluate the formula for B = 15 in.2 and h = 28 in.
Alex17521 [72]

Answer:

5,040

Step-by-step explanation:

If you're looking for area of a triangle, the area formula is a = 12bh. So, just multiply 15 x 28 x 12 (5,040), and you have the area of your triangle.

I hope this helps!

7 0
3 years ago
Help please, also provide work
Andreas93 [3]

Answer:

9) 128
10) 78
11) 31
12) 148

Step-by-step explanation:


9) we know that the segment across from the angle 48° is double the angle.

48 · 2 = 96

The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.

136 + 96 = 232

360 - 232 = 128

The answer for 9 is 128.

10)

61 + 80 = 141

180 - 141 = 39

39 * 2 = 78

The answer for question 10 is 78.

11)

236 + 62 = 298

360 - 298 = 62

62 ÷ 2 = 31

The answer for question 11 is 31.

12)

50 · 2 = 100

100 + 112 = 212

360 - 212 = 148

The answer for question 12 is 148.

8 0
2 years ago
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