Write the equation in standard form. Identity the center and radius.
x² + y2 + 8x-4y-7=0

Write The Equation In Standard Form. Identity The Center And Radius.x + Y2 + 8x-4y-7=0

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given equation:

x² + y² + 8x - 4y - 7 = 0

Convert this to standard form by completing the square:

(x - h)² + (y - k)² = r², where (h, k) - center, r - radiusx² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0(x + 4)² + (y - 2)² - 27 = 0(x + 4)² + (y - 2)² = 27 (x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27


Related Questions

Please factor 4n + 4 x 2

Answers

Answer:

4 ( n + 2 )

[tex]4(n + 2)[/tex]

a laptop computer is purchased for $1800. after each year the resale value decreases by 35%. what will the resale value be after 5 years? round to nearest dollar.

Answers

Answer:

1800-35%=1170

1170-35%=760,5

760,5-35%=494,325

494,325-35%=321,31

311,31-35%=208,85

after round it is 209

Answer:

$209

Step-by-step explanation:

1800-(1800*.35)=1170

1170-(1170*.35)=760.5

760.5-(760.5*.35)=494.325

494.325-(494.325*.35)=321.31125

321.31125-(321.31125*.35)=208.8523125

$209 after 5 years

Hope this helps

is this correct or it needs any fixing

Answers

That is correct. The graph is perfect and you did b correctly

-3x - 4 = -5y -8 y-intercept and x-intercept

Answers

Answer:

y-intercept: -0.8

x-intercept: 1.333

Please help I will give brainliest.

Answers

Step-by-step explanation:

for x = 2

a = 500 × (3/5)²

for x = 4

b = 500 × (3/5)⁴ = 500×(3/5)²×(3/5)²

so,

a/b = (500 × (3/5)²) / (500 × (3/5)² × (3/5)²) =

= 1/(3/5)² = 1/(9/25) = 25/9 = 2.777777778...

A base is labeled on the triangle below. B. C 7 * base Which line segment shows the height that corresponds to the given base of the triangle?​

Answers

Answer: A

Step-by-step explanation:

Looks like A, since it's the altitude.

8 yards converted into feet?

Answers

Answer:

24 feet

Step-by-step explanation:

a yard is 3 feet

8 yards is

8 × 3

24 feet

A shirt is on sale for 30% off the regular price. The regular price is $27.00.
What is the sale price?
$8.10
$18.20
$18.90
$18.80

Answers

30% off. Would be 18.90

Answer:

18.90

Step-by-step explanation:

Use the graph to write a linear function that relates y to x

Answers

Answer:

y = [tex]\frac{4}{3} x + 2[/tex]

Answer:

Y=4/3x+2

Step-by-step explanation:

The slope is 4/3 because i counted 3 spaces to the right and 4 spaces up which is 4/3 and the starting point is 2 which is where it crosses on the y intercept hope this helps! :)

find the value of 16 to the power of 3/4

Answers

Answer:

8

Step-by-step explanation:

If we write this as an expression it looks like [tex]16^{\frac{3}{4} }[/tex]

Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.

HELP ME PLEASE!! the inequality X <38 can be used to represent how much water is in a swimming pool. where X is the volume of water in the pool in cubic meters. Which of these statement BEST describes how much water is in the swimming pool?​

Answers

Answer:

x < 38 represents that there is less than 38 cubic meters of water in the pool.

Step-by-step explanation:

" < " sign represents less than.

" > " sign represents more than.

" ≥ " sign represents at least or more than.

" ≤ "sign represents at least or less than.

Answer:

B

Step-by-step explanation:

The sign < means less than

Given x is the volume of the pool

Therefore, x < 38 means the volume of the pool is less than 38 m³

For information, the statements written as inequalities would be

A: x > 38

B: x < 38

C: x ≥ 38

D: x ≤ 38

help with angle sum theorem please

Answers

All the angles in a triangle would add up to 180 which means that 2x would be 180-60-60 which is 60
If 2x is 60 then x is 30 degrees

find the constant term of -8x-5x^4-1-x^5/9+8x^3
PLS HELP THXS

Answers

-1 and 9. Constants are numbers by there selves. with no symbol or exponent.

Select the correct answer. What is the vertex of the parabola given by y = -(x − 2)^2 − 1?

Answers

Answer:

vertex: -2,1

Step-by-step explanation:

You need to graph it.

I think the vertex is (2,-1)

The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box.

Answers

The radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

What is the Radius of a Circle?

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = [tex]7\frac{5}{6}[/tex] inches

Therefore:

Radius of the circle = 1/2([tex]7\frac{5}{6}[/tex])

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= [tex]3\frac{11}{12}[/tex] inches.

Therefore, the radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Learn more about radius of a circle on:

https://brainly.com/question/24375372

PLS HELP ME ASAP I WILL GIVE YOU 43 POINTS
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.

Answers

Answer:

a    8 parts     b    8    3|4 =  3×2|4×2=b|8

Step-by-step explanation:

What is another way of saying that Janelle can ride her bike at a rate of 15 kilometers per hour?

Answers

Answer:

Janelle can ride her bike at a rate of 9.32 miles per hour

Step-by-step explanation:

15 kilometers is 9.32 miles

what is the Area of the parallelogram

Answers

Answer:

55

Step-by-step explanation:

The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)

The answer would be 55 to your problem

Can someone help me please and have an explanation :)

Answers

Answer:

ok so lets find the difference on the table

from 5 to 8 is goes up 250.5(668-417.5)

so that means 3 tickets goes 250.5 so lets divide by 3

250.5 divide by 3=83.5 per ticket

83.5*6=501

501

Hope This Helps!!!

Answer:

Equation : $83.50x = Cost of the tickets

(where x = number of tickets)

Cost of 6 tickets : $501

Step-by-step explanation:

I'm not sure if this is the way they want you to do it, but what I did is :

1) Solve a proportion to figure out the cost of 1 ticket

5/417.50 = 1/x

5x = 417.50(1)

5x/5 = 417.50/5

x = 83.50

So, the cost of 1 ticket is $83.50

2) Create an equation

If x equals the number of tickets :

83.50x = Cost of the tickets

3) Solve for 6 tickets

83.50(6) = Cost of the tickets

501 = Cost of the tickets

Substitute x for the number of tickets, which is 6 and you'll get $501 :)

The band director at a high school wants to know what percentage of parents supports a decrease in the budget for fine arts. Because many parents attend the school’s annual musical, the director surveys the first 30 parents who arrive at the show. Explain why this sampling method is biased. Is the proportion of parents in the sample who support the decrease likely greater than or less than the proportion of all parents in the school who support the decrease?

Answers

Using sampling concepts, it is found that the sampled is biased because only parents who attend the school's musical show are surveyed, hence they are not very likely to support the decrease, and the population proportion should be greater than the one found in the show.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

A sample has to take into account all aspects of the population, otherwise it is biased. In this problem, either people support the decrease, or they do not. Only people that went to the show were surveyed, that is, people who are unlikely to support the decrease, which generates bias, as the population proportion should be greater than the one found in the show.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Write the point slope form of the equation of the line through the given points: (4,-1) and (-3,1)

Answers

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}}\implies \cfrac{1+1}{-7}\implies -\cfrac{2}{7}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{4})\implies y+1=-\cfrac{2}{7}(x-4) \\\\\\ y+1=-\cfrac{2}{7}x+\cfrac{8}{7}\implies y=-\cfrac{2}{7}x+\cfrac{8}{7}-1\implies y=-\cfrac{2}{7}x+\cfrac{1}{7}[/tex]

Help!!!! ( this is i-ready )

Answers

Answer:

Take the values in the box:

IQTR = 16 - 7

= 9

It is 9 because i did this one now to long ago

please answer quickly attachment is under this little message

Answers

Answer:

315 dm3

Step-by-step explanation:

[tex]V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315[/tex]

The distance from O to A is 3 and the distance from A to A prime is 3. The diagram shows a dilation. Which dilation does it represent? What is the scale factor?.

Answers

The dilation which represented by the line is enlargement and the scale factor of dilation is 2.

What is the dilation of the figure?

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

The distance from O to A is 3. Therefore,

[tex]OA=3[/tex]

The distance from A to A prime is 3. Therefore,

[tex]AA'=3[/tex]

Here, the new length of the line segment is,

[tex]OA'=OA+AA'\\OA'=3+3\\OA'=6[/tex]

The scale factor of dilation is,

[tex]r=\dfrac{OA'}{OA}\\r=\dfrac{6}{3}\\r=2[/tex]

The scale factor is 2 and the image is enlarged.

Hence, the dilation which represented by the line is enlargement and the scale factor of dilation is 2.

Learn more about the dilation of the figure here;

https://brainly.com/question/3457976

Answer:

enlargement

2

Step-by-step explanation:

help mee its due today at 3:00am​

Answers

Answer:

Here is the answer......hope u understand...

find x using Pythagoras theorem​

Answers

Answer:

  x = 3

Step-by-step explanation:

The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.

  x^2 +4^2 = (x +2)^2

  x^2 +16 = x^2 +4x +4 . . . . . expand

  12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)

  3 = x . . . . . . . divide by 4

The radius of the circle is 3 cm.

Dave buys a coat for £20, a hat for £15 and a pair of gloves for £5.


Later, he sells the coat at 50% profit. He sells the hat for £18 but has to sell the gloves at a 20% loss.


What is his overall percentage profit?

Answers

Answer:

30%

Step-by-step explanation:

Purchases:

Coat £20

Hat £15

Gloves for £5

Total amount of purchases: £20 + £15 + £5 = £40

Sales:

Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30

Hat: £18

Gloves at a 20% loss: 80% of £5 = £4

Total amount of sales: £30 + £18 + £4 = £52

Amount of profit: £52 - £40 = £12

Percent of profit: £12 / £40 × 100% = 30%

What is the value of x in the equation 2. 5 minus 0. 25 x = negative 3? –22 –1. 1 1. 1 22.

Answers

The answer is 22…………..

what should be subtracted from
[tex] {a}^{2} - 7ab \: + {3b}^{2} [/tex]
to get
[tex]( - 4 {a}^{2} + 6ab \: + 3 {b}^{2} )[/tex]
?​

Answers

-5a²+13ab should be subtracted.

Step-by-step explanation:-

Based on the given conditions, formulate,

[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]

[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]

Taking the coefficients or numbers, we get,

[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]

[tex]→ - 5 {a}^{2} + 13ab[/tex]

Given :

What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?

Solution :

Let the required expression to be subtracted be x

⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²

⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x

⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x

Combining the like terms :

⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x

⇢ 5a² – 13ab = x

⇢ x = 5a² – 13ab

Therefore,

5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².

i need help on 10 please

Answers

Angle 1 = 54.

Step-by-step explanation:

54+36= 90 or 90-36=54

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