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3 years ago

The general form of the equation of a circle is x2+y2−4x−8y−5=0.

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Answer:

centre = (2, 4)

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

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = $\sqrt{25}$ = 5

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Company XYZ has 34 employees in the Finance Department, 45 technicians, and 32 in the Engineering Department. The HR Department

Crank

Answer:

66.7%

Step-by-step explanation:

The total number of complaints were:

5 + 3 + 7 = 15

The percent that came from either technicians or the Finance Department is:

(5 + 3) / 15 × 100% = 66.7%

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2 years ago

In AKLM, m = 1.2 cm, k = 5.1 cm and

Elodia [21]

Answer:

4.2 cm

Step-by-step explanation:

The law of cosines is applicable.

l² = k² +m² -2km·cos(L)

l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236

l ≈ √17.4236

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3 years ago

Given a data set consisting of 33 unique whole number observations, its five-number summary is:

Lemur [1.5K]

Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is

L p=(n+1).p/100

For example, in the data set [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

3 0

3 years ago

Perform the following operations and prove closure. Show your work.<br><br> (x/x+3) + (x+2/x+5)

Westkost [7]

Answer:

$\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}$

Step-by-step explanation:

We need to sum the following two expressions:

$\frac{x}{x+3} + \frac{x+2}{x+5}$

$\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}$

expanding the polynomial in the numerator:

$\frac{2x^{2} + 10x + 6}{(x+3)(x+5)}$

$\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}$

This is the most simplified form we can get:

$\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}$

8 0

3 years ago

Read 2 more answers

Jack wants to know how many families in his small neighborhood of 60 homes would help organize a neighborhood fund-raising party

seraphim [82]

hello,

Jack wants to know how many families in his small neighborhood of 60 homes would help organize a neighborhood fund-raising party. He put all the addresses in a bag and drew a random sample of 30 addresses. He then asked those families if they would help organize the fund-raising party. He found that 12% of the families would help organize the party. He claims that 12% of the neighborhood families would be expected to help organize the party. Is this a valid inference?

Yes, this is a valid inference because the 30 families speak for the whole neighborhood

it's the correct one because if he ask 30 families so they talk to their neighborhood so its will be 60 ;) so its correct,

hope this help

7 0

3 years ago