Use completing the square to find the equation of the following circle in standard form.

x2 + y2 - 4x + 12y - 16 = 0

Answers

Answer 1

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php


Related Questions

What is the midpoint of DC with endpoints C (6,−1) and D (−7,8)?

Answers

Answer:

Fraction form: (-1/2, 7/2) Decimal form: -.5, 3.5)

Step-by-step explanation:

use the midpoint formula of: (x1 + x2/2 , y1 + y2/2) in order to get (x,y) coordinates.

Let's call endpoint C x1 and y1. So 6=x1 and -1=y1.

This makes endpoint D x2 and y2. So -7=x2 and 8=y2.

Now plug it in and simplify!

x-coordinates: (6+-7)/2 = (6-7)/2 = -1/2 or -.5

y-coordinates: (-1+8)/2 = (8-1)/2 = 7/2 or 3.5

the midpoint of endpoints C and D is (-1/2, 7/2)

**decimal form: (-.5, 3.5)

You want to create a triangle with sides of a, b, and c. Which of the following inequalities should be true?
a+b c
a-b>c
a-b

Answers

The answer is B 100 sure thank me for for more information

Determine the area under the standard normal curve that lies to the right of (a) Z=0.24. (b) Z=0.02, (c) Z=-0.49, and (d) Z=1.89. (a) The area to the right of Z = 0 24 is (Round to four decimal places as needed.) (b) The area to the right of Z=0.02 is (Round to four decimal places as needed.) (c) The area to the right of Z=-0.49 is (Round to four decimal places as needed.) (d) The area to the right of 2 = 1.89 is (Round to four decimal places as needed) Textbook Statcrunch MACBOOK AIR esc 80 F3 888 F1 F4 0 FS 52 ! 1 $ 2 # 3 4 % 5 6 & 7

Answers

The answer to the questions is given in parts.

The standard normal distribution is a normal distribution of data that has been standardized so that it has a mean of 0 and a standard deviation of 1.

The area under the standard normal curve that lies to the right of various values of Z can be calculated using a table of standard normal probabilities, or by using a calculator or computer program. Here, we are given four values of Z and we need to determine the area under the standard normal curve that lies to the right of each value. We can use a standard normal table or a calculator to find these areas.

(a) The area to the right of Z = 0.24 is 0.4052 (rounded to four decimal places).

(b) The area to the right of Z=0.02 is 0.4901 (rounded to four decimal places).

(c) The area to the right of Z=-0.49 is 0.6879 (rounded to four decimal places).

(d) The area to the right of Z=1.89 is 0.0294 (rounded to four decimal places).

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200 PTS AND BRAINLIEST!!!!!!!!!!!!!!!!TYYYYY!!!!!!!!!!!!nEEDASAP
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on rent and utilities. Andre is looking at an apartment. The apartment costs $1450 per month, plus $250 for utilities. Will this apartment fit within Andre’s budget? Show your work and explain your reasoning.
(b) How much more money does Andre budget for savings than for groceries and utilities combined? Show your work. Write your answer as a dollar amount.

Answers

Answer:

Apartment 1 is his best option

Answer: Apartment 1

Step-by-step explanation:

Find the lateral area of this square
based pyramid.
10 in
5 in
[ ? ] in

Answers

The missing answer is 5 in as well

Answer:

100in

Step-by-step explanation:

1/2 *10*5=25

4(25)=100

please help is it 2/9?​

Answers

Answer:

7/9    

Step-by-step explanation:

7/9

Answer:

7/9

Step-by-step explanation:

Brainliest maaaybe? :)

3 feet
5 feet
4 feet

Answers

what is the question?

Answer:

Post the question along with this

1. Find
A) 35
B) 47.5
C) 67.5
D95

Answers

Answer:

find which one my guy im trying to get infinite awnseres srryyyyy

Step-by-step explanation:

Can you please help me

Answers

Answer:

7. 7.1+5.4+2.9=15.7

10.3+5.4=15.7

8. 373.4 - 152.9 = 220.5

373.4 - 153 = 220.4

220.4 - 0.1 = 220.5

9. 18.25 + 7.99 + 4.75 = 30.99

10. 1.05 + 3 + 4.28 + .95 = 9.28

11. 302.504

12 50.5


Use a special right triangle to write
tan 60° in simplest radical form.

Answers

tan 60 in radical for is square root of 3

Answer:

√3

Step-by-step explanation:

                               opposite side         (√3)/2

tan 60 degrees = ------------------------- = ------------ = √3

                                  adjacent side          1/2

3(x + 2) + 4(x - 5) = 10
solve x

3(x + 2) = 12
solve x

7(3 - x) = 8(4 - 2x)
solve x

8(x + 1) - 3(x + 4) = 7(2 - x)
solve x

7(x + 2) = 6(x + 5)
solve x

4(x + 2) = 48
siplfy
5x + 2(x - 3) = -2(x - 1)

Answers

Answer:

1. x=24/7

2. x=2

3. x= 11/9

4. x=3/2

5. x=16

6. x=10

7. x=8/9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

1. x=24/7

2. x=2

3. x= 11/9

4. x=3/2

5. x=16

6. x=10

7. x=8/9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Find the unit rate for each, then compare. Which is faster?
8 laps in 70 seconds
12 laps in 98 seconds.

Answers

Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds

Round off 793.545 to one decimal​

Answers

Answer:

793.6

Step-by-step explanation:

793.545=793.55=793.6

793.5 is The Answer.

.16 with the 6 repeating to a fraction

Answers

The answer is


1/6









1/6

write the number thirty three in figures

Answers

Answer:

3x10 15x2 5x6

Step-by-step explanation:

Which expression is equivalent to the expression shown below? --8x – 2(5 + 4x)​

Answers

-8x-2(5+4x)

Step-by-step explanation:

-8x-10-8x -8x-8x-10 -16x-10

Coffee is ordered weekly in bulk, and you must specify the number of pounds to order. You
must also choose coffee quality: good quality, high quality, or organic. Small cups use 1 shot of
espresso, medium use 2 shots, and large cups use 3 shots. It is estimated that each shot of
espresso requires approximately 7 grams of coffee, or about 1/64 of a pound—but you may
want to allow a bit extra in case your servers spill some. Thus, a large size would use
approximately 3/64 of a pound of coffee. Fresh coffee grounds are discarded immediately after
use. Any coffee left at the end of the week is discarded for quality and freshness reasons. If you
run short, local purchases are made at a higher cost than when ordering in bulk.

Given estimated sales of 2,000 cups of coffee per week, how many pounds of coffee should you buy? Explain in detail.

Answers

Based on estimated sales of 2,000 cups of coffee per week and the amount of coffee required for each cup size, it is recommended to purchase approximately 46.875 pounds of coffee.

To determine the amount of coffee needed for 2,000 cups of coffee per week, we need to consider the size of each cup and the amount of coffee required for each size.

According to the information provided, small cups use 1 shot of espresso, medium cups use 2 shots, and large cups use 3 shots.

Since each shot requires approximately 7 grams of coffee (or about 1/64 of a pound), a small cup would require approximately 1/64 of a pound, a medium cup would require approximately 2/64 (or 1/32) of a pound, and a large cup would require approximately 3/64 of a pound.

Let's calculate the total amount of coffee required for 2,000 cups based on these proportions. Assuming a certain distribution of cup sizes, we can estimate the average number of shots per cup.

Let's assume that 40% of the cups are small, 40% are medium, and 20% are large.

With these proportions, we can calculate the total amount of coffee required.

(0.4 * 2,000 * 1/64) + (0.4 * 2,000 * 2/64) + (0.2 * 2,000 * 3/64) = 62.5 + 125 + 46.875 = 234.375

Therefore, to meet the estimated sales of 2,000 cups of coffee per week, it is recommended to purchase approximately 46.875 pounds of coffee.

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If the ratio of boys to girls is 1:4 and there are 20 girls in your class, how many boys are there?

Answers

Answer:

Step-by-step explanation:

5 boys

Answer:

me

Step-by-step explanation:

beceaus im the best Guy

The least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation D=85.2 +10.3x. What is the predicted number of visitors when the temperature is 78°? 10.3 visitors 85.2 visitors 95.5 visitors 888.6 visitors 6,655.9 visitors

Answers

The predicted number of visitors when the temperature is 78° is 888.6 visitors.

The least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation,

D = 85.2 + 10.3x

We need to find the predicted number of visitors when the temperature is 78°.

Substitute x = 78 in the given equation of regression line:

D = 85.2 + 10.3x= 85.2 + 10.3(78)= 85.2 + 803.4

D = 888.6

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Given that the least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation D=85.2+10.3x.

We need to find the predicted number of visitors when the temperature is 78°.

Option D (fourth) is correct.

To find out this we just need to substitute the given value of x = 78 into the equation of the regression line. So, we get the predicted number of visitors when the temperature is 78° as below:

[tex]D = 85.2 + 10.3 \times 78[/tex]

[tex]D = 85.2 + 803.4[/tex]

D = 888.6

Therefore, the predicted number of visitors when the temperature is 78° is 888.6 visitors.

Hence, option D is correct.

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How many solutions does the system have? 4x-2y=8 2x+y=2

Answers

Answer:0

Step-by-step explanation:

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use Scenario 3 above to answer the following question. The critical value is _______therefore we can______ the Null at the 40% level of significance

0.845, reject
2.33, not reject
0.255, reject
1.96, not reject

Answers

The critical value for the 40% level of significance is 1.96. Therefore, we can reject the Null hypothesis at the 40% level of significance.

In hypothesis testing, the critical value is used to determine the threshold for rejecting or not rejecting the Null hypothesis. The critical value depends on the desired level of significance and the distribution being used. In this scenario, we are conducting a one-sample t-test with a known population standard deviation.

To determine the critical value, we need to consider the level of significance. In this case, the level of significance is 40%, which corresponds to an alpha value of 0.40. Since the test is a one-tailed test (we want to test whether the mean waiting time is significantly more than 3 minutes), we divide the alpha value by 2, resulting in 0.20.

Using a t-distribution table or a statistical calculator, we find that the critical value for an alpha of 0.20 with degrees of freedom equal to the sample size minus 1 (99) is approximately 1.96.

Therefore, if the test statistic falls beyond the critical value of 1.96, we can reject the Null hypothesis at the 40% level of significance.

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Suppose that A and B are mutually exclusive events Select the correct answer below, O A. Since A and B are mutually exclusive events, then the probability that A or Boccur is 1. That is, P(A)*P(B)-1 OB. Since A and B are mutually exclusive events, then the probability that both A and B occur is O. That is, PA}{B} = 0, OC. Since A and B are mutually exclusive events, then the probability that A or B occur is 1. That is, PIA & B)=1, OD. Since A and B are mutually exclusive events, then the probability that both A and B occur is O. That is, P(A&B)=0

Answers

The correct answer is option D. Since A and B are mutually exclusive events, the probability that both A and B occur is 0. In other words, P(A&B) = 0.

When two events, A and B, are mutually exclusive, it means that they cannot occur simultaneously. If one event happens, the other event cannot happen at the same time. In this scenario, the correct answer is option D, which states that the probability of both events A and B occurring together is 0, i.e., P(A&B) = 0.

To understand this concept, consider a simple example. Let's say event A represents flipping a coin and getting heads, while event B represents flipping a coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, it is impossible for both events A and B to occur simultaneously. Therefore, the probability of both A and B occurring together is 0. In summary, when events A and B are mutually exclusive, the correct answer is option D, which states that the probability of both A and B occurring together is 0, i.e., P(A&B) = 0.

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Solve the below equations put the answer in radical form.

Answers

use the app Socratic instead ! it will help with math equations !!

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

d=18 feet

Step-by-step explanation:

The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],

[tex]972\pi =\frac{4}{3}\pi r[/tex]³

Divide [tex]\pi[/tex] from each side,

[tex]972=\frac{4}{3} r[/tex]³

Multiply each side by 3/4 to get rid of the fraction,

[tex]r[/tex]³[tex]=729[/tex]

Using the cube root, we find that 729 is actually a perfect cube.

[tex]r=9[/tex]

Now, the diameter is 2 times the radius, so

9×2=18

So, the measure of the diameter is 18 feet.

what is the answer to
-6x+4(-2+8y)- 2y+ 4

Answers

Answer:

− 6 + 3 0 − 4

Answer:

do you mean simplify the expression?

-6x+4(-2+8y)- 2y+ 4

-6x - 8 + 32y - 2y + 4

-6x + 30y + 4 - 8

-6x + 30y - 4

find the remainder when f(x) = 2x3 − 12x2 11x 2 is divided by x − 5. (2 points) 7 −3 3 −7

Answers

The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.

The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).

To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.

Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

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Someone please help me please

Answers

Answer:

Step-by-step explanation:

12 boxes of hay

Answer:48 bunches of hay

Step-by-step explanation:4 hunches for $9, therefore 108/9=12 and 4x12=48 bunches of hay

3 is 6 1/2 of what number?

2. What number is 30% of 9?

3. What number is 42% of 30?

4. 54 is 4 1/2 of what number?

5. A drug label recommends 0.8 mg of a certain antibiotic per 2 mL of solution. At this rate, how many milligram of antibiotic should be added to 4.8 mL of solution?

Answers

Therefore, 3 is 6 1/2 of 19.5. Therefore, 30% of 9 is 2.7.  Therefore, 42% of 30 is 12.6. Therefore, 54 is 4 1/2 of 243. Therefore, 1.92 milligrams of antibiotic should be added to 4.8 mL of solution at this rate.

To find the number that is 6 1/2 times 3, we can set up the equation: x = 6 1/2 * 3. Multiplying 6 by 3 gives us 18, and 1/2 of 3 is 1.5. Adding these results, we get x = 19.5. Therefore, 3 is 6 1/2 of 19.5.

To find 30% of 9, we multiply 9 by 0.30 (or 30% written as a decimal). The calculation is 9 * 0.30 = 2.7. Therefore, 30% of 9 is 2.7.

To find 42% of 30, we multiply 30 by 0.42 (or 42% written as a decimal). The calculation is 30 * 0.42 = 12.6. Therefore, 42% of 30 is 12.6.

To find the number that is 4 1/2 times 54, we can set up the equation: x = 4 1/2 * 54. Multiplying 4 by 54 gives us 216, and 1/2 of 54 is 27. Adding these results, we get x = 243. Therefore, 54 is 4 1/2 of 243.

If the recommended rate is 0.8 mg per 2 mL of solution, we can set up a proportion to find the amount of antibiotic for 4.8 mL: (0.8 mg / 2 mL) = (x mg / 4.8 mL). Cross-multiplying and solving for x gives us x = (0.8 mg / 2 mL) * 4.8 mL = 1.92 mg. Therefore, 1.92 milligrams of antibiotic should be added to 4.8 mL of solution at this rate.

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Find the area of the shaded region.

Answers

Answer:嘿,我不知道答案,但這段文字很酷

1/(x+6)+(×+1)/x=13/(x+6)

Answers

Answer:

x = 3, 2

Step-by-step explanation:

Answer: x = 3, 2

Step-by-step explanation:

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