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Ronch [10]
3 years ago
7

Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

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A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the container has 3 gallons
Anna007 [38]
5 - 10 x = 3
10 x = 5 - 3
10 x = 2
x = 10 : 5
x = 0.2
The rate is : 0.2 gallons / minute
5 - t * 0.2 = 0
t * 0.2 = 5
t = 5 : 0.2
t = 25 min
Answer: After 25 minutes the container will be empty.
5 0
3 years ago
Lynn is a single mother with two children's . She qualifies to file as head of household her total income was $27267 last year h
storchak [24]

Answer:

$3,078.04

Step-by-step explanation:

-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.

-Her tax is then calculated as;

#10% bracket;

Tax=Taxable \ Income \times Tax \ Rate\\\\=9700\times 10\%\\\\\\=\$970.00

#12% Tax bracket:

Tax=Taxable \ Income \times Tax \ Rate\\\\=(27267-9700)\times 12\%\\\\\\=\$2108.04

The total tax=970+2108.04=$3,078.04

Hence, Lynn owes $3,078.04 in taxes.

7 0
3 years ago
If minecraft has a stack of wood how much wood is in the stack?
Olin [163]

Answer:

64

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
27
katrin2010 [14]

Answer:

A  ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB²  = 45 = r²

Then area of quarter circle is

A = \frac{1}{4} × πr² = \frac{1}{4} × π × 45 ≈ 35.3

6 0
3 years ago
Find the distance between P1(1, -91°) and P2(3, 335°) on the polar plane.
Dmitrij [34]

Answer:

2.749

Step-by-step explanation:

Use the polar distance formula:

\sqrt{r_{1}^{2}+{r_{2}^{2}-2 r_{1} r_{2}cos(theta_{1} -theta_{2})

\sqrt{10^{2}+{3^{2}-2(1) (3)cos(225-(-91))

2.749

5 0
3 years ago
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