What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16

Answers

Answer 1

Answer:

Step-by-step explanation:

if center=(h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

given eq. is (x-5)^2+(y+2)^2=16=4^2

comparing

center =(5,-2)

radius r=4


Related Questions

Lena has 32 pens. 3/4 of the pens are blue. How many blue pens does Lena have?

Answers

Answer:

24 pens are blue

Step-by-step explanation:

32 pens in total and 3/4 of it are blue.

32 ÷ 4 = 8

8 × 3 = 24

24 of the 32 pens are blue pens

Answer:

Lena has 24 blue pens!

Step-by-step explanation:

In this type of problem, you simply have to multiply 3/4 by 32. And you will get the correct answer:

1). 3/4 * 32 = 24

Hope this Helps))) ^‿^

Water makes about 3/4 of a person’s weight. If a student weighs 100 lbs., how much of his weigh is water?

Answers

Answer:

75 pounds

Step-by-step explanation:

To solve this problem, find 3/4 of 100.

To multiply fractions, multiply the numerators by each other and the denominators by each other.

3/4 * 100/1

Evaluating 3*100 and 4*1, the fraction becomes 300/4.

Now, divide 300 by 4 to get the final answer. 300/4 = 75. Therefore, 75 pounds of the students weight is water.

Answer:

75 lbs

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

75 lbs is water

José represents the linear function f(x) = 5x – 7 with words.
Multiply each element in the domain by negative 7 and add 5.
Correct his error.

Answers

Answer:

-2

Step-by-step explanation:

The correct statement that Jose is supposed to have written is that  multiply each element in the domain by 5 and subtract 7

Given the linear function written by Jose expressed as f(x) = 5x - 7

Note that the expression is in form of a linear equation y = mx + b where:

x is the input value known as the domain

We are to write the function f(x) = 5x - 7 in words.

Let the domain variable be x

5x means that we are to multiply each element in the domain 5

For 5x - 7, we are to multiply each element in the domain by 5 and subtract 7.

The correct statement that Jose is supposed to have written is that  multiply each element in the domain by 5 and subtract 7

Learn more here: https://brainly.com/question/20911160

Which function can be used to determine the daily revenue if the price of a coupon card is decreased by x dollars?
R(x) = –x2 + 6x + 40
R(x) = –(x – 4)(x + 10)
R(x) = –(x2 – 14x + 40)
R(x) = –(x + 3)2 + 49

Answers

Answer:

option A

Step-by-step explanation:

To solve the problem using these steps, what are the dimensions of the rectangle she should draw?

On a coordinate plane, triangle R S T has points (negative 1, 1), (1, 3), and (2, negative 1).

2 units by 4 units
3 units by 4 units
3 units by 5 units
4 units by 5 units

Answers

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge

Please help me with this I need this done!!!

Answers

Answer:

1=1

2=4

3= <NTR=115

   <RTM=45

  <STN=45

4= A-124

    B-45

    C-45

    D-90

    E-124

5=15

6=?

Step-by-step explanation:

FGHJK

3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42

Answers

Answer:

34

Step-by-step explanation:

There is the same opposite arch for both angles so they should be equal.

Hope this is helpful!

A manager of a grocery store wants to determine if consumers are spending
more than the national average of $150 with a standard deviation of $30. The
manager collects 10 random receipts and finds that the average customer
spends $160. He then concludes that his customers do spend more than the
national average. a) What do you see as his error in this assumption? b) How
could you redesign the study to correct it?*

Answers

Answer:

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

[tex]\bar x[/tex] = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < [tex]\bar x[/tex] < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

Joe has 7 shirts, 4 pairs of pants and 2 pairs of shoes. He needs to make an outfit containing one of each
item. How many different outfits are possible? (We assume that one different item makes a different outfit)
a
13 outfits
28 outfits
26 outfits
56 outfits
d

Answers

The answer would be 56

Joe has 56 possible different outfits.

What are combinations?

A combination is a mathematical method in which the number of possible ways in which a set of given items can be chosen, such that the order in which it happens does not matter items.

The number of possible outfits can be chosen as shown below:

Joe has 7 different choices for shirts.

Joe has 4 different choices for pants.

Joe has 2 different choices for shoes.

This means that number of combinations in which Joe can choose an outfit can be found by multiplying all the choices.

This can be done as shown below:

Number of choices for shirts * Number of choices for pants * Number of choices for shoes

= 7 * 4 * 2

= 56 combinations.

Therefore, we have found that Joe has 56 possible different outfits. The correct answer is option D.

Learn more about combinations here: https://brainly.com/question/11732255

#SPJ2

The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

number of math cpurses: discrete. weight of backpacks: continuous

Step-by-step explanation:

In the school cafeteria students choose what they want to eat each day. They can have 1 meat, 1 vegetable, a bread, and 1 dessert. There are 3 choices for meat, 2 vegetable choices, 2 bread choices, and 2 dessert choices. How many different combinations are possible?

Answers

Answer:

24 different combinations

Step-by-step explanation:

To determine the number of possible combinations, multiply the number of choices

3 meat* 2 vegetables* *2 bread* 2 Dessert

24 different combinations

Five more than a certain number is 11 less than double the number

Answers

Answer:

The number is 16

Step-by-step explanation:

Five more than a certain number is 11 less than double the number

x+5 = 2x-11

11+5 = 2x-x

16 = x

9 is five more than 4 and (2x9=18) 18 is 11 less than 9

What is the product of the binomials below?
(5x + 2)(4x +4)

Answers

You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.

5x*4x=20x^2

5x*4=20x

2*4x=8x

2*4=8

Combine them all together and you get 20x^2 + 28x +8

I hope this helps.

Answer:

20x^2 + 28x + 8

Step-by-step explanation:

you use the box method shown in the picture to multiply then combine like terms

What is the common difference of the arithmetic sequence?
7,2, -3, -8. - 13....
A)
-20
B)
--5
5
D)
20

Answers

Answer: -5

Explanation: The common difference is the difference between each of the terms in the sequence. Notice that to get from 7 to 2, we must subtract 5. In the same way, to get from 2 to -3, we must subtract 5.

So -5 is your common difference.

factorise 15x- 10x^3

Answers

Answer:

5x (3-2x^2)

Step-by-step explanation:

so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.

The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].

The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

Given that,

Equation; [tex]\rm 15x - 10x^3[/tex]

We have to determine,

Factorize the equation and factor of the equation.

According to the question,

To factorize the equation and determine the factor of the equation following all the steps given below.

Equation; [tex]\rm 15x - 10x^3[/tex]

Step1; Taking the term 5x common from the equation,

                   [tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]

Step2; Simplify the equation,

                   [tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]

Step3; The roots of the equation are,

                    [tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]

                    [tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]

Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

For more details refer to the link given below.

https://brainly.com/question/11540485

Help me with this please

Answers

Answer: 1/8

Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8

Give me brainly pls trust me 100% correct I’ve learned this already

Answer:

1/8

Step-by-step explanation:

NED HELP NOW 69 POINTS ​

Answers

Answer:

c

Step-by-step explanation:

I say c because i couldn't decide between c or d.

PLEASE HELP!!!! attached photo

Answers

Answer:

(-1, -2.5)

Step-by-step explanation:

The midpoint formula is just basicallyadding both  of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.

Brainliest please, I need a few more :D

Really need help and giving brainlest

Answers

Answer: for number 1 is 72

Step-by-step explanation:

1. The rectangle‘s formula is b x w so it would be 8x6 which equals 48.

2. The formula for each Triangle is b x h and you would divide it by two (3 x 8 divided by 2 = 12) but you have 2 triangles that were put together to make it seem like 1 triangle if you can see it. 12 x 2 is 24

3. add your numbers up and you get a total of 72 for number 1. Hoped this helped

The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6​

Answers

Answer:

25 + 11

Step-by-step explanation:

As it is summing up by odd numbers

so 16+9 is 25

and then 25 + 11 as eleven is the next odd number after 9

Answer: 25+11

HOPE THIS HELPS

Definition: An equation with a degree of 2.

Answers

Answer:

here's an equation that has a degree of 2

[tex]4x^2-37x+19[/tex]

or

(x+3)(x-1)

=(x^2+2x-3)

For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
One-eighth
One-half
2
32

Answers

Answer:

2

Step-by-step explanation:

The equation is p = 8/v.

If p = 4, then p = 4 = 8/v

Inverting both sides, we get  

                           1/4 = v/8

Multiplying both sides by 8, we get:

                              2 = v

If the value of p is 4, then the value of V will be 2. Then the correct option is C.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

p = 8/V

If the value of p is 4, then the value of V will be

4 = 8 / V

V = 8 / 4

V = 2

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Find the domain and range

Answers

Answer:

Domain: x = all reals

Range: y is less than or equal to -4

Find the inverse function in slope intercept

Answers

Answer:

y= -5/4+ 20

Step-by-step explanation:

1. switch x and y

2. multiply both sides by 5

3. divide both sides by -4

The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20

Answers

Answer:

First one:

4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20

Step-by-step explanation:

4 x - 5 y = -5 (1)

3 x + 10 y = -20 (2)

Multiply (1) by 2 and add to (×)

8x - 10y = -10

3x + 10y = -20

11x = -30

x = -30/11 = -2.727272

x = -2.7

4(-30/11) - 5y = -5

5y = -65/11

y = -13/11 = -1.18181818

y = -1.2

Answer:

4 x - 5 y = - 5 and 3 x + 10 y = - 20

Step-by-step explanation:

4 x - 5 y = -5 (1)

3 x + 10 y = -20 (2)

Multiply (1) by 2 and add to (×)

8x - 10y = -10

3x + 10y = -20

11x = -30

x = -30/11 = -2.727272

x = -2.7

4(-30/11) - 5y = -5

5y = -65/11

y = -13/11 = -1.18181818

y = -1.2

hope this helps..

PLEASE HELP ME ASAP PLEASE!!!Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing cards. the deck has 13 card suits (diamonds, hearts,clubs,spades)
The probability expressed as a fraction is
The probability expressed as a decimal is
The probability expressed as a percent is

Answers

Answer:

for diamond or spade: 1/2= 0.5 = 50%

Step-by-step explanation:

13/52 = 1/4 to diamond, heart, club or spade

1/4= 0.25

0.25*100% = 25%

If we need to choose diamond or spade,

1/4 for diamond, 1/4 for spade

diamond or spade:   1/4+ 1/4=1/2

1/2 = 0.5 = 50%

Answer:

2/4

0.50

50%

Step-by-step explanation:

If its a diamond or spade then it is it is basically written as 2/4 since there is 4 suits and your trying to pull 2 out of the four. 50% converts to 2/4 and you can turn 50% to decimal by putting a decimal point and a 0 to get 0.50

The ratio of the length to the width of a rectangle is 3:2. What is the width of the rectangle if the
length is 24?

a:36
b:12
c:16
d:23

Answers

c:16 because if you divide 24 by 3, you get 8, and 8 times 2 is 16
it is the awnser c becuase

In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°

Answers

The correct answer is B

Which is the graph of f(x) = 2(3)*?

Answers

Answer:

6

Step-by-step explanation:

answer is 6 sorry if it wrong

Plz help me I don’t really understand this topic

Answers

Answer:

2/7, 7/13, 5/9, 10/11

Step-by-step explanation:

I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.

If this answer is correct, please make me Brainliest!

Answer:

From least to greatest, 2/7-7/13-5/9-10/11

Step-by-step explanation:

It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.  

7              5

___ and ___ so now you multiply the denominators together to get 117

13             9

so the fractions will become

7*9          5*13

___ and ___   and when u multiply them together you get 63 for 7/13 and 65

117            117

for 5/9, so 5/9 is bigger

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