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lawyer [7]
4 years ago
13

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the

length of the radius?
A(-7, -1), 36 units
B(7, 1), 36 units
C(7, 1), 6 units
D(-7, -1), 6 units
Mathematics
1 answer:
TiliK225 [7]4 years ago
7 0
Hello : 
<span>x² + y² + 14x + 2y + 14 = 0
</span>(x²  + 14x) + (y²+ 2y) + 14 = 0
(x²  + 14x+49-49) + (y²+ 2y+1-1) + 14 = 0
(x²  + 14x+49)-49 + (y²+ 2y+1)-1 + 14 = 0
(x+7)² + (y+1)² =6²...(answer : <span>D(-7, -1), 6 units )</span>

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assume that the class has 80 students and that the examination period is 95 minutes in length. How many students do you expect w
Kazeer [188]

Answer:

Number of students successful= 75

Number of students not able to complete the exam in the allotted time= 5

Step-by-step explanation:

In this question the main part is missing .The given statement is the sub part of the problem .

Suppose the main part is

<u><em>The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. </em></u>

<u><em></em></u>

If the main part was given like this only then we could do the following calculations.

So from above the

Population mean = μ= 80

Population Standard deviation =σ= 10 mins

Sample mean = x`= 95

Sample size= n= 80

Now first we calculate the z= score

z= x`-μ/σ

z= 95-80/10= 1.5

From the z- table we find the P (z< 1.5)= 0.9332

Now we have to find the number of students who need to complete the exam in the allotted time

Number of students successful= np= 80 * 0.9332= 74.656= 75

Number of students not able to complete the exam in the allotted time= 80-75= 5

<u><em>These answers are based on the main part supposed to be as added just to explain how it will be calculated.</em></u>

<u><em>There may be any discrepancy with the original question.</em></u>

5 0
3 years ago
Can you help me please? Show how you work it out
Soloha48 [4]
The answer is 13.8 because if she paid 20 dollars and it is 1.45 per gallon then you divide 20 and 1.45 to equal how much per gallon so it's 13.7931034 or 13.8 if you round
8 0
4 years ago
Helppppppppppppppppppppppp please
baherus [9]

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

<u>Triangles</u>

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

<u>Rectangle</u>

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

8 0
3 years ago
At this market,6 batteries cost 10.38 how much do 8 batteries cost
3241004551 [841]
To find the cost of one, divide 10.38 by 6, so
10.38/6 = 1.73
1.73 = price per battery
To find the price of 8, multiply the cost of price per battery with however many items you need, in this case 8 so,
1.73 x 8 = 13.84
7 0
3 years ago
A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?
ArbitrLikvidat [17]
Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D
7 0
3 years ago
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