Use the given information to write the standard form equation of a circle:

a) x²+y²+10x+14y+70=0 translated 1 unit to the right and 2 units down. ​

Answers

Answer 1

Answer:

The formula for the equation of a circle is (x – h) 2 + (y – k) 2 = r 2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:


Related Questions

Sandy is getting ready for the day. She can wear either a balck or white shirt and then either pants, shorts, or a skirt. Create a tree diagram or label all the combinations she can make. How many are there total?

Answers

Black shirt and pants
Black shirt and shorts
Black shirt and skirt
White shirt and pants
White shirt and shorts
White shirt and skirt
6 COMBINATIONS TOTAL

What is -13 decreased by 9

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

-13 - 9

When both the numbers have the same sign, we add them. After adding we put the same sign of the numbers to the answer

-13-9 = -22

GIVING BRAINLIEST

Explain your reasoning.
3(n + 2) = 9(6 - n)

Answers

Answer: n = 4

Step-by-step explanation:

Divide both sides by 3

n+2=3(6−n)

Expand

n+2=18−3n

Subtract 2 from both sides

n=18−3n−2

Simplify 18−3n−2 to −3n+16.

n=−3n+16

Add 3n to both sides

n+3n=16

Simplify n+3n to 4n

4n=16

Divide both sides by 4

n= 4/16

Simplify 16/4 to4

n=4

Stock in Macy's costs $25.75 per share. Hector buys 200 shares of Macy's
through his broker who charges a commission of $25.75. How much did George
pay in total to purchase the stock?

Answers

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21​

Answers

The median of the following numbers is 14

Order the numbers from least to greatest
Since median means middle mark off a number on each side until there is one left. That will be your answer
If it is an even amount of numbers than take the middle two numbers and find the average (mean)
To do so add the numbers and divide by two

Answer:

The median of the following numbers is 14

Step-by-step explanation:

Write an equation for the sum of x and 3 minus 2 is 12

Answers

Answer:

x + (3-2) = 12

Step-by-step explanation:

x + (3-2) = 12

or x + 1 = 12

so x = 11

Use the picture below and determine which of the lines or line segments 20 points
is/are a diameter
mA
VE
Line m
Line Segment BC
Ο Ο Ο Ο Ο
Line Sesnent AB or AC
Line Segment DE
Line 1

Answers

Line segment AB or AC

Find the geometric mean between each pair of numbers 8 and 12

Answers

Step-by-step explanation:

......................................................

For his birthday , Aaron received four stamps for his collection . his collection already contained eight times that number of stamps. Before pasting the stamps into albums , Aaron divide them equally into three envelope. Which numerical expression models the number of stamps in each envelope? A 12÷3 B 4+32÷3 C (4+32)÷3 D 12×4÷4

Answers

Answer:

C

Step-by-step explanation:

Aaron received four stamps. He already had eight times as much. 32 + 4. Before pasting the stamps into albums, Aaron divides them equally into three envelopes. (32 + 4) ÷ 3.

An inclined walkway leading to a new building is to rise 11 inches for each horizontal distance of 22 feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)​

Answers

Answer:

4.2%

Step-by-step explanation:

The horizontal distance, x (Run) = 22 feets

Rise, vertical distance, y = 11 inches

The slope is the ratio of the vertical to the horizontal distance, Rise to Run

Slope = Rise / Run

Converting to the same unit ;

Foot to inches

1 foot = 12 inches

Hence, x = 22 feets = (12 * 22) = 264 inches

Slope = Rise / Run = 11 / 264 = 0.04167

Slope = 0.04167 * 100% = 4.167%

What is 1/3 of $4.89 dollars

Answers

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

please help me here im begging you it won't let me just skip it ​

Answers

Answer:

ABCD in statement and the other in reasoning

Step-by-step explanation:

PLZ FULL ANSWER
Maria has the following scores on exams in her social studies class: 86, 75, 97, 58, 94, and 58. Find the mean, median, and mode of the scores. Should Maria’s social studies teacher use the mean, median, or mode of the exam scores to convince Maria that she needs to study more regularly for her exams?

Answers

Answer:

The mean is 78

The Median is 80.5

And The Mode is 58.

Step-by-step explanation:

(Mean) 86,75,97,58,94, and 58 equal 468. Divide it by 6 (The Total Of All The Numbers) and it gives you 78.

(Mode) Find the number that occurs the most which would be 58.

(Median) Put the numbers in order. Order: 58,58,75,86,94,97. Next, your supposed to find the number in the middle, but since there are 2(75 and 86.)

Add them together and you get 161. After that, divide them by 2 and it'll give you 80.5

By the way, if the number of numbers in the problem add up to be an even number, divide it by 2 and find the average. If it's odd, divide it by 2 and round it up to get to the median.

So yes, the teacher should use the scores to convince Maria that she needs to study more regularly for her exams.

The mean, median, or mode of the exam scores is 78, 86 and 58

What is Mean, median and Mode?

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

Given data: 58, 58, 75, 86, 94, 97

1. Mean= sum of observation/ Total number observation

= 58+58+75+86+94+97/6

=468/6

=78

2. Median,

Since, n is even

median= (n/2)+ 1

= 6/2 + 1

= 3+1

=4 th term= 86

3. Mode: Mode is the repeating data

mode= 58

Learn more about mean , median and mode here:

https://brainly.com/question/15323584

#SPJ2

A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below Which expression can be used to determine the value of the sum in any term, n

Answers

Answer:

n2

Step-by-step explanation:i did this last year

A spinner has five sections labeled a,b,c,d,e. The spinner is spun 45 times


Answers

Answer:

40

Step-by-step explanation: pls I need points make brainpy

Select the statement that correctly describes a normal distribution.
a. It is a negatively skewed distribution, as the extreme values are less than the median.
b. It is a symmetric distribution, as the mean and the median are the same.
c. It is a positively skewed distribution, as the extreme values are greater than the median.
d. It is a uniform distribution, as all of the values have equal frequency.

Answers

Answer:

b. It is a symmetric distribution, as the mean and the median are the same.

Step-by-step explanation:

Normal distribution:

The biggest characteristic of the normal distribution is that it's symmetric, that is, 50% of the values are below the mean and 50% are above, which means that the mean is the same as the median.

This means that the correct answer is given by option b.

A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, putting the marble back, and then pulling a blue marble?\

Answers

Answer:

Di ko po alam sorry

Step-by-step explanation:

Di ko alam putaenamo

Simplify 25a/8 x 2a/5​

Answers

Answer:

If the slashes mean divisions and the x means multiplication, the answer would be 25a²/4/5

the sum of the first four terms of an A.p is 62.if the difference between 4 terms and 2nd terms is 14. find the first term and common difference​

Answers

Answer:

-2 -4 -6 -8

Step-by-step explanation:

I got the answer off of khan academy

A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is represented by x - 3. What is the value of x?

Answers

Answer:

x = 11

Step-by-step explanation:

8/4 = (x+5)/(x-3)

cross-multiply:

8(x-3) = 4(x+5)

8x - 24 = 4x + 20

4x  = 44

x = 11

Answer:

Step-by-step explanation:

X=11

The longest known is double than samallest known

2(x-3) = x+5

2x-6 = x+5

x= 11

                   11-3 = 8

                   11+5 = 16

Sides of the known triangle    8,7,4     (side 8 double than side 4)

Sides of the similar triangle       16,14,8   (side 16 double than side  8 )

can someone help, please :)

Answers

good luck :))))))))))

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. Assume that the population standard deviation for Compound 1 is 4414 miles, while the population standard deviation for Compound 2 is 2368 miles. Determine the 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.

Answers

Answer:

The margin of error is of 623.2016.

The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. The population standard deviation for Compound 1 is 4414 miles.

This means that [tex]\mu_1 = 37866, s_1 = \frac{4414}{\sqrt{243}} = 283.16[/tex]

A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. The population standard deviation for Compound 2 is 2368 miles.

This means that [tex]\mu_2 = 45789, s_2 = \frac{2368}{\sqrt{268}} = 144.65[/tex]

Distribution of the difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.

The mean is:

[tex]\mu = \mu_1 - \mu_2 = 37866 - 45789 = -7923[/tex]

The standard deviation is:

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{283.16^2 + 144.64^2} = 317.96[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.96*317.96 = 623.2016[/tex]

The margin of error is of 623.2016.

The lower end of the interval is the sample mean subtracted by M. So it is -7923 - 623.2016 = -8546.2016

The upper end of the interval is the sample mean added to M. So it is -7923 + 623.2016 = -7299.7984

The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).

You determine that you can make 72 donuts in 2 hours. At that rate, how
many donuts can you make in 8 hours?

Answers

Answer:

576

Step-by-step explanation:

expanded form :32,456​

Answers

Answer:

30,000 + 2,000 + 400 + 50 + 6

Step-by-step explanation:

[tex]\text{The expanded form of 32,456 would be 30,000 + 2,000 + 4,000 + 50 + 6.}[/tex]

[tex]\text{We would have to identify what each number stands for.}[/tex]

[tex]\text{For example, 3 in 32,456 stands for 30,000.}[/tex]

[tex]\text{Hence, following this rule, we can conclude that the answer above is correct.}[/tex]

[tex]\text{I hope I helped you suceed!}[/tex]

Can I please get help with this math problem? Thanks in advance.

Answers

Answer:

answer: scale factor is 3

Hope this helps

Answer:

ans :; scale factor is 3

this is the correct ans.

What is the volume of a rectangular prism with a length of 2 1/2 inch width of 4 inches, and a height of 3 inches? * 21: 36 cu, in O 30 cu in 9.5 cu in 0 26 cu.in​

Answers

Answer:

30 cubic inch

Step-by-step explanation:

Bob the builder eat no fewer then three donuts. What is the inequality?

Answers

Answer:

3

Step-by-step explanation:

I think

Answer:

less than or equal to 3

Step-by-step explanation:

Write equivalent fractions for 1 2/3 and 1 7/8 using 24 as the common denominator 2 24 7 1 0​

Answers

Answer:

2×8=16

7×3=21

2/3 + 7/8 = 16/24 + 21/24

(05.03 LC) What is the equation of a horizontal line passing through the point (2, 10)? (5 points)

Answers

Answer:

y=10

Step-by-step explanation: a horizontal line has no slope

Can someone here please help me out?

Answers

Answer:

hope you can now substitute and find y

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