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Inga [223]
3 years ago
10

(X-6) squared + (y+2) squared =

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

x^2 + y^2 - 12x + 4y + 40

Step-by-step explanation:

Open the parentheses:

(x - 6)^2 = x^2 - 12x + 36

(y + 2)^2 = y^2 + 4y + 4

Simplify:

x^2 + y^2 - 12x + 4y + 40

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What number must you add to complete the square x^2+4x=15
Andrew [12]
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.

(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²

Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2

Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
6 0
3 years ago
6 people sharing 40 lbs of gold evenly. How many do they get? Then subtract 1 2/3 from the result of the problem above & sim
r-ruslan [8.4K]

Answer: 6

Step-by-step explanation:

Given Data:

Number of people = 6

Amount of Gold to be shared = 40lbs

Subtract 2/3 from your answer.

Therefore

If six people are to share 40lbs of gold evenly

= 40lbs / 6

Divide through by 2

= 20lbs / 3

= 20lbs / 3 - 2/3

= 18/3

= 6

Each person would get approximately 6lbs of gold

7 0
3 years ago
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How do you slove 2/3 (9x -6) = 14
Ivanshal [37]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2

3

(9x−6)=14

(

2

3

)(9x)+(

2

3

)(−6)=14(Distribute)

6x+−4=14

6x−4=14

Step 2: Add 4 to both sides.

6x−4+4=14+4

6x=18

Step 3: Divide both sides by 6.

6x

6

=

18

6

x = 3

5 0
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ms.white is making book marks for her first grade class each bookmark has a gold tassel.8 book marks are in one package and she
ioda
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I am Lyosha [343]

Answer:

the last one

Step-by-step explanation:

uv

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