All categories

3 years ago

Certain circle can be represented by the following equation.

Mathematics

2 answers:

kirill115 [55]3 years ago

8 0

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

ikadub [295]3 years ago

5 0

Answer:

(-4.8)

7 unit

i just did the test

Step-by-step explanation:

You might be interested in

Solve: 7/9 = x/3 0.33 2.33 23.3 33

Novosadov [1.4K]

Step-by-step explanation:

$\frac{7}{9} = \frac{x}{3} \\ \\ x = \frac{7 \times 3}{9} \\ \\ x = \frac{7}{3} \\ \\ \huge \red{ \boxed{x = 2. 33}}$

4 0

3 years ago

Read 2 more answers

THE FIRST AND BEST ANSWER GETS BRAINLIEST

wolverine [178]

If it’s 5 points no one is gonna answer

4 0

2 years ago

A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.

Tcecarenko [31]

Probability that gear 1 will fail = 5/100 (upto 10 years)
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

8 0

2 years ago

Picky Polls asked 1600 third-year college students if they still had their original major. According to the colleges, 50% of all

Reptile [31]

Answer:

The probability that less than 800 students who said they still had their original major is 0.50 or 50%.

Step-by-step explanation:

Let the random variable X be described as the number of third-year college students if they still had their original major.

The probability of the random variable X is, P (X) = p = 0.50.

The sample selected consisted of n = 1600 third-year college students.

The random variable X thus follows Binomial distribution with parameters n = 1600 and p = 0.50.

$X\sim Bin(1600, 0.50)$

As the sample size is large, i.e.n > 30, and the probability of success is closer to 0.50, Normal approximation can be used to approximate the binomial distribution.

The mean of X is:

$\mu_{x}=np=1600\times0.50=800\\$

The standard deviation of X is:

$\sigma_{x}=\sqrt{np(1-p}=\sqrt{1600\times0.50(1-0.50)}=20$

It is provided that Picky Polls got less than 800 students who said they still had their original major.

Then the probability of this event is:

$P(X$

**Use the z-table for the probability.

Thus, the probability that less than 800 students who said they still had their original major is 0.50.

7 0

2 years ago

Billy is ordering 7 identical sandwiches and a drink. The drink costs $2.5 and the entire order costs $140.5. Write an equation

Finger [1]

Answer: $17.92/sandwich

Step-by-step explanation:

Let S be the price of a sandwich ($/sandwich).

7S is the total cost of the sandwiches. Add a drink for $2.50 to find the total cost, which we are told comes to $140.50

7S + $2.50 = $140.50

7S = $138

S = $19.7143

It is odd that this includes a fraction of a single penny (0.43 cents). Something is incorrect in the data given, since this should equal a whole number. For now, I'll round up to $19.72. The additional 7*($0.0043) = 4 cents will be treated as a tip.

6 0

2 years ago