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Alex73 [517]
3 years ago
14

1

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

gcjhgfjhg

Step-by-step explanation:

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Complete the square please.
Aleks04 [339]

Answer:

(x-3)^2 + (y+2)^2 = 9^2

Step-by-step explanation:

x^2 -6x+y^2+4y-68 = 0

Complete the square

x^2 -6x+y^2+4y-68+68 = 0+68

x^2 -6x+y^2+4y = 68

Find the term to add for x

-6 /2 = -3  -3^2 = 9

Find the term to add for y

4/2 =2  2^2 = 4

Add 9 and 4

x^2 -6x+9+y^2+4y+4 = 68+9+4

(x-3)^2 + (y+2)^2 = 81

(x-3)^2 + (y+2)^2 = 9^2

The standard form is

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

3 0
3 years ago
Suppose that circles R and S have a central angle measuring 80°. Additionally, the measure of the sector for circle R is
riadik2000 [5.3K]
The correct answer is B) 9 m.

The measure of the sector of circle R is 32π/9 m.  The measure of the central angle is 80°.  This means that the sector is 80/360 = 2/9 of the circle.  The area of a circle is given by A=πr², so the area of the sector is A=2/9πr².  To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.

Using this same formula for circle S, we will work backward to find the radius:

18π = 2/9πr²

Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²

Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²

Take the square root of both sides:
√81 = √r² 
9 = r

6 0
3 years ago
Read 2 more answers
How does the concept of inequality help you describe situations?
kati45 [8]
Try using the back of the book.
3 0
3 years ago
the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work
olga2289 [7]

Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = \frac{kn}{w} ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = \frac{30k}{6} ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = \frac{2n}{w} ← equation of variation

When w = 5 and n = 40 , then

t = \frac{2(40)}{5} = \frac{80}{5} = 16 hours

3 0
2 years ago
By 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar’s total sales were $8,821. On average, how much mon
Margaret [11]

Answer:

$1391.25 per hour

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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