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4 years ago

What kind of decimal is 1/9 ?

Mathematics

2 answers:

andrew11 [14]4 years ago

7 0

The decimal version of 1/9 is 0.111 hope this helps :) have a nice day

olga2289 [7]4 years ago

6 0

Answer:

1/9 as a decimal is 0.111111111

Step-by-step explanation:

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Using the following equation, find the center and radius: x2 −2x + y2 − 6y = 26 (5 points)

Lisa [10]

Answer:

Center: (1,3)

Radius: 6

Step-by-step explanation:

Hi there!

$x^2-2x + y^2 - 6y = 26$

Typically, the equation of a circle would be in the form $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius.

To get the given equation $x^2-2x + y^2 - 6y = 26$ into this form, we must complete the square for both x and y.

1) Complete the square for x

Let's take a look at this part of the equation:

$x^2-2x$

To complete the square, we must add to the expression the square of half of 2. That would be 1² = 1:

$x^2-2x+1$

Great! Now, let's add this to our original equation:

$x^2-2x+1+y^2-6y = 26$

We cannot randomly add a 1 to just one side, so we must do the same to the right side of the equation:

$x^2-2x+1+y^2-6y = 26+1\\x^2-2x+1+y^2-6y = 27$

Complete the square:

$(x-1)^2+y^2-6y = 27$

2) Complete the square for y

Let's take a look at this part of the equation $(x-1)^2+y^2-6y = 27$ :

$y^2-6y$

To complete the square, we must add to the expression the square of half of 6. That would be 3² = 9:

$y^2-6y+9$

Great! Now, back to our original equation:

$(x-1)^2+y^2-6y+9= 27$

Remember to add 9 on the other side as well:

$(x-1)^2+y^2-6y+9= 27+9\\(x-1)^2+y^2-6y+9= 36$

Complete the square:

$(x-1)^2+(y-3)^2= 36$

3) Determine the center and the radius

$(x-1)^2+(y-3)^2= 36$

$(x-h)^2+(y-k)^2=r^2$

Now, we can see that (1,3) is in the place of (h,k). 36 is also in the place of r², making 6 the radius.

I hope this helps!

3 0

3 years ago

Read 2 more answers

Fill in the book value at the end of year 1 under each depreciation method when residual value is $36,000 and useful life is 4 y

3241004551 [841]

Answer:

Depreciation method:

Straight-line

$335,250

Units-of-Output

Double-declining

$217,50

Using Straight Line method:

Book Value= $335,250

6 0

4 years ago

A tree farming company is testing how many items customers purchase during their visits. Based on many results, the (partial) pr

kkurt [141]

Answer:

X probability = 0.02

Cumulative frequency at x ( 6 ) = 1

Step-by-step explanation:

X P ( X ) Cf ( X )

1 0.58 0.58

2 0.18 0.58 + 0.18 = 0.76

3 0.10 0.76 + 0.10 = 0.86

4 0.07 0.86 + 0.07 = 0.93

5 0.05 0.93 + 0.05 = 0.98

6 0.02 0.98 + 0.02 = 1

4 0

3 years ago

You invest $2,800 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance of your account

Fiesta28 [93]

Step-by-step explanation:

I=PRT/100

I=2800x6.5x12/100

I=218400/100

I=$2184

4 0

3 years ago

Solve f(x)=2x^2+6, fund the value if f(x+3)

zavuch27 [327]

Answer:

F=2x^2+24

Step-by-step explanation:

F (x+3)=2x^2+6

F=2(x+3)^2+6

F=2(X^2+9)+6

F=2x^2+18+6

F=2x^2+24

6 0

3 years ago