Complete the square to go to the conic form of the circle. x^{2}+y^{2}+8x-2y+1=0

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]x^2+8x+y^2-2y=-1\\\\x^2+8x+16+y^2-2y+1=-1+16+1\\(x+4)^2+(y-1)^2=16\\\\(x+4)^2+(y-1)^2 = 4^2[/tex]


Related Questions

please help
2y+x=-15
y=2x

Answers

Answer: x = -3

Step-by-step explanation:

2y + x = -15

y = 2x

2y = 2(2x) = 4x

4x + x = -15

5x = -15

x = -3

3. Marissa owes her parents
money for her car. She paid
them $163 for 24 months
until she finished paying her
debt. Which integer
represents how much
money she owed her
| parents?

Answers

She owed $3,912.

Explanation: 163 * 24 = 3,912

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Boubacar sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
120 visitors purchased no costume.
235 visitors purchased exactly one costume.
3 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

p[p

Answer: 34%

Step-by-step explanation:

(Trust me)

What is the slope of the line on the graph

Answers

the answer to this question is 3,3

Answer:

slope of the line(m) =(y2-y1)/(x2-x1)

or, m=(16-10)/(6-3)

or, m=6/3

So, m=2

On Monday Alex earned £120
On Tuesday she earned £100
Alex earned the same amount of money on Wednesday, on Thursday and on Friday
She earned a total of £550 for these five days,

How much did Alex eam on Wednesday?

Answers

550-(120+100)=330
330/3=110

£110
£110 should be the answer :)

How do you write an equation of a line given (1, 2) and (3, 4) in a slope -intercept form

Answers

Answer:

y = x + 1

Step-by-step explanation:

find slope first:

(4-2) / (3-1) = 2/2 or 1

now find the y-intercept, or 'b' by using one of the two given points and the slope

2 = 1(1) + b

2 = 1 + b

1 = b

equation in slope-intercept form:

y = 1x + 1  or  y = x + 1

Hey can you help me fast!!!

Answers

The expression would be 3/4 divided by 1/2

Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??

Dont try and say the answer in a mf file i have to download lol

Answers

Answer:

Step-by-step explanation:

Welllllll.....

If you take the square root of 9, it's 3

if you take the square root if 16, it's 4

I would guess it to be about 3.2

Answer:

Step-by-step explanation:

Lily ,  we know that [tex]3^{2}[/tex] =9  and [tex]4^{2}[/tex] = 16  so we know that  [tex]x^{2}[/tex] = 10  , where 10 is an answer to x squared,  then X lies between 3 and 4   ,  see?  

Keisha wants to buy her a new pair of jeans that
cost $34.99. She can receive 15% off. How much
is the discount she receives?
ROUND YOUR ANSWER TO THE NEAREST HUNDREDTH

Answers

Answer:

15% off of $34.99 equals $29.74

Step-by-step explanation:

the discount she receives should be

$34.99-$29.74= $5.25

can someone help me with this ?

Answers

Answer:

de goes with bc ab goes with fd and angle f is angle A and angle d is angle B

Step-by-step explanation:

Answer:

Step-by-step explanation:

how to solve for x? i need help please help fast

Answers

Hi!

x² = 11,2² - 8,5²

x² = 125,44 - 72,25

x² = 53,19 |√

x ≈ 7,3

The radius of a cylindrical cup is 6 ft and its volume is 420 cubic ft. Find the
height of the cup.
A.5 ft
B.3.71 ft
C.2.98 ft
D.6 ft

Answers

Answer:

Step-by-step explanation:

Volume of cylinder=pir^h

420={22/7×6×6]h=792/7h=113.14h

h=420/113.14

h=3.712

The answer is B. 3.71

Use this data to answer the questions below:
2, 4, 7, 8, 9, 12, 13
What is the range of the data?

What is the second quartile Q2 (or what is the median)?

What is the interquartile range? (Q1-Q3)

Answers

Answer: The Range is 11

The Q2 is 8

The Interquartile range is 8

helppppppppppppppppppppppp

Answers

Answer:

b.........................

Answer:

D.

Step-by-step explanation:

bahahahhaa

Hey karlieeeeeeeeeeeeee XD

Find the area of the SHADED region.
Round to the nearest TENTH if necessary.

Answers

Answer:

The area of the SHADED region is 21 cm.²

Step-by-step explanation:

The area of the SHADED region is the difference between the area of the entire figure and the area of the UNSHADED region

The shape of the UNSHADED region is a rectangle

The area of a rectangle, A = The length × The width

∴ The area of the UNSHADED region, A = 1 cm × 4 cm = 4 cm²

The area enclosed by the entire figure is in the shape of a square

The area of a square s similar to the area of the rectangle, but because a square has equal side length, the area of a square, A = Side length × Side length

Therefore, the area enclosed by the entire figure = 5 cm × 5 cm = 25 cm²

The area of the SHADED region = The area enclosed by the entire figure - The area of the UNSHADED rectangular figure inside

That is the area of the SHADED region = 25 cm² - 4 cm² = 21 cm².

arper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each drink. Define the variables that you use to write the system.

Answers

Answer:
The price of a drink = $4
The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink
Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79
Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50
Now multiply first equation by -3 and second equation by 10
-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237
10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365
Now add the new equationd
30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)
32d = $128 divide both sides of the equation by 32
32 ÷ 32d = 32 ÷ $128 ➡ d = 4
If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn
3p + 5d = $36.50 (replace d with 4)
3p + 4×5 = $36.50
3p + 20 = $36.50
3p = $36.50 - 20
3p = 16.50 divide both sides by 3
p = $5.5

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g

tasha purchased an ipad for $625. a year later, it was selling for $500. what was the percent of change?

a. 20% increase
b. 25% increase
c. 20% decrease
d. 25% decrease

Answers

I believe this answer is (C) 20% decrease


Using the expression 4y + 18, identify the following:
1. variable
2) coefficient
3) constant

Answers

Answer:

The variable is y

The coefficient is 4

The constant is 18

Answer:

1. y

2. 4

3. 18

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

Does anybody know how to find the distance between 2 things using the pythagorean theorem?​

Answers

Answer:

Yes

Step-by-step explanation:

The two objects are plotted at different points in graph and one gets the difference of points y coordinates (change in y) and change in x too.

Then one can look for distance as hypotenous and change in y as height and change in x as the base of our imaginery triangle.

Therefore, from Pythagoras Theoreom:

hyptenous² = height² + base²

Distance² = change in y² + change in x²

Distance = √change in y² + change in x²

In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm and XZ=10 cm. What is the length of XN

Answers

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

XY = 6 cm , XZ = 10 cm

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

Length of XN

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

Let the length of XN be ' x ' & that of NZ be ' 10 - x '

In rt. XYZ :

Hypotenuse (h ) = 10 , Perpendicular ( p ) = YZ & Base ( b ) = 6

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Hypotenuse = 8 cm , Perpendicular = YN , base = 10 - x

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Hypotenuse = 6 , Perpendicular = YN , base = x

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

What is the center of the data?




Number of Green Candies in a Bag


A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots.



The center is

.

Answers

Answer:

[tex]Median = 13[/tex]

Step-by-step explanation:

Given

See attachment for dot plot

Required

The center of data

This implies that, we calculate the median

From the attached plot,

[tex]n = 13[/tex] --- number of observation

So, the median is:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{13 + 1}{2}[/tex]

[tex]Median = \frac{14}{2}[/tex]

[tex]Median = 7th[/tex]

The median is at the 7th position

At the  7th position, is 13

Hence:

[tex]Median = 13[/tex]

Answer:

i think it would be 13?

Step-by-step explanation:

just guessing but im pretty sure its 13

Can I get help with this please?

Answers

First equation:
5(x+1)=20 —— distribute the 5 to the x and 1
5x+5=20 ——- subtract 5 from 20
5x=15 ———— divide by 5 from both sides
X=3 ————— answer

Second equation:
5x+1=20——— subtract 1 from 20
5x=19 ———— divide by 5 from both sides
X=19/5———— answer in fraction form
X=3.8————- answer in decimal form

How many​ flowers, spaced every 6 ​in., are needed to surround a circular garden with a ​100-ft ​radius?

Answers

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

                                           = 200π

                                           = 628.32 ft

Distance between each flower = 6 in

                                                   ≈ [tex]\frac{6}{12}[/tex]

                                                   = 0.5 ft

Number of flowers = [tex]\frac{\text{Circumference}}{\text{Space between each flower}}[/tex]

                               = [tex]\frac{628.32}{0.5}[/tex]

                               = 1256.63

                               ≈ 1256

Therefore, number of flowers required = 1256

Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.

Answers

Step-by-step explanation:

Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.  

Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55

Answers

Answer:

The answer is D. = 0.99

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following algebraic representations could be used for that transformation?
Select one:

(x,y)→(−x,y)

(x,y)→(4x,4y)

(x,y)→(x,y+6)

(x,y)→(x+6,y)

Answers

Answer:

C) (x,y) → (x,y+6)

Step-by-step explanation:

As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.

The mathematical way to find the value y is changed by would be by setting up a small equation as follows:

[tex]8 = 2 + n[/tex], where n is some number that the y value is altered by.

Solving for n gives the value 6, proving that the translation must add 6 to the y value.

How many minutes per question does she have

Answers

Answer:

she has 2.5 minutes per question

90 ÷ 36 = 2.5

Step-by-step explanation:

Answer:

The answer is 2.5 minutes per second

Step-by-step explanation:

you divide 90 to 36 and it will give you 2.5

Write an expression that is equivalent to 4 times x times x times x

Answers

Answer:

4x³

Step-by-step explanation:

4 * x * x * x

4 * x² * x

4 * x³

4x³

Simply multiply, that's all that's needed.

Find the missing side.
Need help please.
Need to show how to get the answer.

Answers

Answer:

8

Step-by-step explanation:

What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6

Answers

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

[tex](x,y) = (2,-2)[/tex]

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

[tex](x,y) = (2,-2)[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]

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Please help, I need this answer ASAP Is silicon(IV) oxide the same as silicon dioxide . Briefly describe the simplest heat treatment procedure that would be used in converting a 0.76 wt% C steel from one microstructure to the other, as follows: (a) Martensite to spheroidite (b) Spheroidite to martensite (c) Bainite to pearlite (d) Pearlite to bainite (e) Spheroidite to pearlite (f) Pearlite to spheroidite (g) Tempered martensite to martensite (h) Bainite to spheroidite You are walking on a beautiful beach in Hawaii with a friend who wasn't fortunate to take my geology class. Your friend finds a finely crystalline (aphanitic) black rock with some relatively large green olivine crystals in it. Your friend asks that you describe the formation process of this rock to her. Explain how the rock formed, including the special texture of this rock and the rock name. 7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate? HURRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRY FAAAAAAAAAAAAAAAAAAAAAAAAAAAAASTRatios, Fractions, Decimals, and PercentsUse what you know about ratios, fractions, decimals, and percents to fill in the blanks with the appropriate equivalent forms. Make sure your fractions and ratios are in simplest form!WordsRatioFractionDecimalPercent3:40.256 tenths1/380%19/201 and 5 tenths7:8 Solve the given equation.x/8 = 4 Do laws ever change to help enforce cyber hacking crimes what its 1010 + 800 pls help Which equation shows that the Pythagorean identity is true for = 270?Select the equation that is in the form sin^2+cos^2=1 Name 5 invasive species in Florida 14. If angle =120, what is its value in radians? Write letter to your principal of the school telling him about two habit of the student that should be discouraged work out the height of a triangle with base b= 7.7mm and area a=164.78mm2 The above graph shows vertebrate diversity in terms of totalnumber of species. Which of the vertebrate classes listed inthe graph would have the BEST chance of at least some ofthe species surviving a major environmental change?A:bony fish B:birdsC:sharks, raysD: mammals Given cos = .876 and tan = -4.731 determine sin Find the area of similar figure.XTRA POINTS!!!! PLUS BRAILIEST!!!!!!NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!! PLEASE HELP ME!!!! Help me make in essay about What are the advantages of women taking part in sports? What inference can you make by contrasting the ideas in the first two stanzas of the poem to the last stanza? A) The speaker is fascinated by the tempest, but glad to see it leave. B) The awful tempest is fearful at first, then saddened by the morning sun. C) The awful tempest is saddened at first, then fearful of the morning sun. D) The awful tempest rages all night long and terrifies the speaker of the poem. The triangle and square have equal perimeters. What is the perimeter of the triangle?A. 18B. 4C. 12D. 32E. 16F. 24