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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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Answer:

The IRS considers them to be part of your employee business expenses, which fall under the category of miscellaneous deductions. Add the cost of tolls, parking, your other car expenses to your other employee business expenses and combine that amount with other miscellaneous expenses.

Step-by-step explanation:

3 0
3 years ago
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Help!!!
Artyom0805 [142]

Answer:

  C:  y+7=2/5(x+4)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:

  y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form

  y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C

5 0
3 years ago
I have no idea what im doing
omeli [17]

Answer:

  • x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

  • 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
  • x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

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8 0
2 years ago
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Harlamova29_29 [7]
WHERES THE QUESTION IT WONT SHOW UP ON MY SCREEN POST IT AGAIN
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3 years ago
Sara hina and Arslan have a total of RS 390in their wallet . Sara has Rs. 7more than Hina .Arslan has 3 times what sara has . Ho
Brums [2.3K]

Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.

Step-by-step explanation:

Step 1

Let the amount that hina has be x

the amount that sara has be represented as  7+x

and the amount that Arslan have be represented as 3(7+x)

such that the total amount in their wallet which is 390 can be expressed as

x+7+x + 3(7+x)=390

Step 2

Solving

x+7+x +21+3x=390

5x+28=390

5x==390-28

x=362/5=72.4

Hina has RS 72.4

Sara =7+x==72.4+77= RS 79.4

Arslan =3(7+x)=3 x 79.4=RS 238.2

5 0
3 years ago
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