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lana [24]
3 years ago
14

Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$.

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Complete the squares to get

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

\implies(x^2-2x+1)+(y^2+6y+9)=16

\implies(x-1)^2+(y+3)^2=4^2

which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.

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Question 4
polet [3.4K]

Answer:

12/7 hours

Step-by-step explanation:

First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.

Adding them together, 1/3+1/4= 7/12.  

This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that

7/12 * time = 1 job done

time = 12/7 hours.

7 0
2 years ago
Please help asap :( This is my "Final grade" My Teacher wants a full explanation included ! on how i got the answer. )
Mrac [35]

If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

3 0
3 years ago
This question is not that hard but I’m getting rushed
Vsevolod [243]
14:21 one is the right answer
4 0
2 years ago
The cost to repair Linda's car is $500, including parts and labor. The cost of parts is $140. If the cost of labor is $40 per ho
Yakvenalex [24]
It took 9 hours of labor. 500 - 140 = 360...... 360 / 40 = 9.
Answer: 9.
3 0
3 years ago
Two different formulations of an oxygenated motor fuel are being tested to study their road octanenumbers. The variance of road
Lyrx [107]

Answer:chomai

Step-by-step explanation:chomai

3 0
3 years ago
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