HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0

You must show all work and calculations to receive credit.

Answers

Answer 1

Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]

Step-by-step explanation:

Given

the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]

completing the square

[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]

Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]


Related Questions

A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a spade?

Answers

Answer:

Probability of ace of spades [tex]\frac{1}{52}[/tex]

probability of any spade card [tex]\frac{13}{52}[/tex]

Answer:

1/28

Step-by-step explanation:

find the product. write your answer in exponential form. 1^-7*1^3​

Answers

you first eliminate the same base and bring down the exponents

-7 . 3

-7×3

= -21

Find the area and the circumference of the circle. Round your answers to the nearest hundredth.​

Answers

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

its a function or not fuction?​

Answers

answer:

it's a function

step-by-step explanation:

according to g00gle- in mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. typical examples are functions from integers to integers, or from real numbers to real numbers.

but the simple definition is that a function is when the x value isn't being repeated. and since in your case it isn't, the table is a function

another way to solve-

for this, we will put the pairs into a graph then perform the line test-

as you can see each point has its own individual line, therefore, meaning it passed the vertical line test

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Jeffery is wrapping a box. the dimensions of the box are shown. What is the surface area of the box

Answers

Answer: 232

Step-by-step explanation:

Surface area = everything multiplied x 2

Someone please help me
Solve 6a + 5a= -11

Answers

Answer:

hi

Step-by-step explanation:

6a+5a= -11

11a= -11

a= -11/11

a= -1

hole it helps

have a nice day

An isosceles triangle has an angle that measures 122º. Which other angles could be in that
isosceles triangle?

26 / 29 / 58 / 38

Answers

Answer:

29

Step-by-step explanation:

2x + 122 = 180

2x = 180 - 122

2x = 58

x = 29

can i get some help pls

Answers

Answer:

36

Step-by-step explanation:

and what is the permiter of the right triangle
A. 21 in sq
B. 28 in sq
C. 31.5 in sq
D. 63 in sq

Answers

Answer:

the answer is b 28 in sq

Step-by-step explanation:

the area is b i believe

For soccer season Ron wants to buy a new soccer ball, a pair of shorts , and a pair of soccer shoes. The ball cost $11.15, the shorts cost $7.60, and the shoes cost $13.30 Ron has $10.60. How much more money does Ron need?

Answers

Answer:

21.45

Step-by-step explanation:

Answer:

Ron needs $21.45 more

Step-by-step explanation:

soccer ball price + pair of shorts price + pair of soccer shoes price = total amount needed

11.15+ 13.30 + 7.60 = 32.05

Ron has 10.60

32.05-10.60=21.45

A home business has an average income of $900.00 per month with a standard deviation of $15.00. If the income in a given month is $930.00, what z-score corresponds to this value?

Enter the answer to the nearest tenth. Z= ?

Answers

Answer:

2.00

Step-by-step explanation:

Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution

The formula for Z score is Z = [X - mean ]./ (standard deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Help me pls ( only correct answers) tyy

Answers

Answer:

100 cubic in

Explanation

step 1: divide the figure into two

step 2 : find area then multiply by height of the cuboid

step 3 : add both

Answer:

The answer is 100.

Step-by-step explanation:

Volume = weight times height times length = 5 times 1 times 8 = 40

Volume = weight times height times length = 5 times 2 times 6 = 60

So now that we have the volume of each rectangular prism, we must add them together to get the full volume.

60 + 40 = 100

Help me plsss with this problem i took a screen shot.

Answers

Answer:

x - 15 ≤ -6

+15     +15

X = 9

HELP PLEASE!! THANKS!
Find the constant of proportionality.

K =​

Answers

Answer:

9

Step-by-step explanation:

9x2=18

9x4=36

Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?

Answers

Answer:

25 ≤ 2.5n

Step-by-step explanation:

Total budgeted amount = $25

Cost per pack of = $2.50

To represent the relationship using inequality :

Let the Total number of packs purchased = n

Hence,

Total budgeted amount ≤ (cost per pack * number of packs)

25 ≤ 2.5n

This means the total actual purchase made should be less than or equal to the budgeted amount.

Which goes to this inequality x + 1 < 3

Answers

I got x < 2 for the inequality
Look at the image for more information

A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the percent markdown of the coat?

Answers

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

I-Ready you now and no Du..a.s...s. answers or links

Answers

Answer:

13/18

Step-by-step explanation:

The two negatives cancel out.

1/6 * 4 1/3 is 13/18, first turn 4 1/3 to 13/3.

Hope this helps

Write an equation to match this graph. I WILL GIVE BRAINLIEST, PLEASE HELP!

Answers

Answer:

f(x) = -|x| + 1.

Step-by-step explanation:

You get this by inverting the graph of  f(x) = |x| then moving it up 1 unit.

f(x) = -|x| + 1.

By invert I mean reflect in the x-axis.

Answer:

f(x) = -|x| + 1.

Step-by-step explanation:

f(x)=x^2-3x+2 find f(2)

Answers

Answer:

[tex]y=x^{2} -3x+2[/tex]

Step-by-step explanation:

Give me Brainllest plz T-T

Answer:

0

Step-by-step explanation:

ANSWER FOR BRAINLIEST:

Ben's scores on his tests this semester are: 42, 70, 74, 77, and 76.

What is the best measure to describe the center of Ben's scores?

A. Mean, because the outlier skews the median.

B. Median, because the outlier skews the mean.

C. Mean, because there is no outlier.

D. Range, because it measures the spread.

Answers

B because the center of data is best measured by the median when there are outliers, and 42 is an outlier in this set.

What percent of 12 is 48?

Answers

It would be 25% I believe

Answer: 25%

Step-by-step explanation:

can you solve this my teacher is so rude and she literally gave me a 40 cuz this answer was wrong​

Answers

Answer:

the answer should be -1

Step-by-step explanation:

-3 + (-2) + (-4) = -9

-9 + 4 = -5

-5 ÷ 5 = -1

Hope this helped :)

Answer:

-1 is your answer,

Step-by-step explanation:

first of all, add all those scores

-3 + 1 + -2 + -4 + 3 = -5

and for average, there is 5 rounds, so divide by 5

hence answer is -5 / 5 - = -1

what is 3053.62805928 to the nearest cubic inch​

Answers

Answer:

3054

Step-by-step explanation:

When you round to the nearest unit, in this case inch, you need to look at the tenths place.

5 or more raise the score

4 or less, let it rest.

------------------------------------------

Since the number in the tenths place is a 6, it will bump up the number to a 3054.

Good Luck!

i need help asapppppppppppppppppppppppp

Answers

Answer:

unshaded

Step-by-step explanation:

Answer:

A black triangle

Step-by-step explanation:

I really need help on this please ​

Answers

Answer:

2 inches

Step-by-step explanation:

i think that this would be monday*3 + thursday*2 in order to find all five days

so (0.5*3)+(0.25*2)= 2inches.

hope this helps!

Where is the blue dot on the number line?

Answers

Answer:

-11.3

Step-by-step explanation:

You start off at -11 and count down and it ends up at -11.3

The circumference of each of the smaller circles is 12 mm. Find the area of the shaded region.​

Answers

Answer:

11.45mm^2

Step-by-step explanation:

Given data

Circumference= 12mm

The expression for the circumference is

C= 2πr

12= 2*3.14*r

12= 6.28r

r= 12/6.28

r= 1.91mm

Hence the area of each small circle is

A= πr^2

A= 3.14*1.91^2

A= 3.14*3.6481

A=11.45mm^2

Answer:

the answer is b. 72 pie mm squared

Step-by-step explanation:

edge 2021

Does Brainly help with Geometry?

Answers

Answer:

Yes!

Step-by-step explanation:

Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

What is Geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specialises in geometry.

The three most popular types of geometry are solid geometry (which deals with items like the line, sphere, and polyhedron) and spherical geometry (which deals with objects like the spherical triangle as well as spherical polygon). Plane geometry deals with objects such as the point, line, oval, triangle, and polygon.

Thus, Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

Learn more about Geometry, here:

https://brainly.com/question/31408211

#SPJ3

Plz I need help with this ASAP

2(x-5)^2=128

This is solving quadratic functions by square roots

Answers

Answer:

x = 13  and  x = -3

Step-by-step explanation:

divide each side by 2 first and get:

(x-5)² = 64

take the square root of each side next and get:

x - 5 = [tex]\sqrt{64}[/tex]

x - 5 = 8  and  x - 5 = -8

x = 13  and  x = -3

Answer:

x = 13 and x = -13

Step-by-step explanation:

.........

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