Find the center and radius of the circle defined by the equation given below. x ^ 2 + 2x + y ^ 2 + 10y = 15?

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

Complete the square for x and for y.

complete for x

x^2 + 2x + (2/2)^2

(x + 1)^2

Complete square for y

y^2 + 10y + (10/2)^2

(y + 5)^2

Now put these two together

(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2

(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1

(x + 1)^2 + (y + 5)^2 = 41

Answer

Center: (-1,-5)

radius: (sqrt(41) = 6.403


Related Questions

An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °    If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____  miles   ​

Answers

Answer:

21

Step-by-step explanation:

Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function. y=^3 sqaure root of -8x-4

Answers

Answer:

Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to  the parent function.

Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.

The graph is reflected over the x-axis.

The graph is also reflected over the y-axis.

The graph is vertically stretched by a factor of 2.

The graph is translated ½ unit to the left.

Answer:

Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.

The graph is reflected over the x-axis.

The graph is also reflected over the y-axis.

The graph is vertically stretched by a factor of 2.

The graph is translated ½ unit to the left.

Step-by-step explanation:

1. Simplify the expression below.
2(x + 2) + 3(-x-7) -5 ( 2x - 4)

Answers

Answer: -11x+15

Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15

In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.) 76° 90° 104° 142° 152°

Answers

Answer:

152

Step-by-step explanation:

Edge 2020

The product of 1and 3/4 is ____________ 3/4.

Answers

Answer:

https://youtu.be/cqF6M25kqq4

Step-by-step explanation:

What is the approximate volume of a half sphere with a diameter of 8 cm?

Answers

Answer:

134.04

Step-by-step explanation:

PLEASE HELP FAST!!! ILL MARK AS BRAINLIEST!!!!what is the area and perimeter of a box that is x-3 and x+9?

Answers

Answer: x^2 +6x-27

Step-by-step explanation:multiply x and x. Multiply 9 and -3. multiply x and 9, then multiply x and -3. Add 9x+-3x= 6x

x^2 +6x -27

a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?

what’s the answer in miles?

PLEASE HELP ME OMG!!!

Answers

Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

Answer:

450 miles

Step-by-step explanation:

By 20 gallons,the car travels 300 miles

by 1 gallon, car travels 300÷ 20 miles

By 30 Gallons, car travels: (300÷20 )×30

450miles

-12 + 45
25 + -77
Theres more in pic

Answers

Answer

|-12|+|45|=|12|+|45|= 12+45=57

Step-by-step explanation:

When you take the absolute value of a negative number it is the same thing as taking as a positive number. The absolute value is just that number. Once you teach the absolute value of each number perform the operation given In the problem.

what is 5 - 5 + 5 x 5 / 5
[tex]5 \times 5[/tex]

Answers

Answer:

The answer is 5

Step-by-step explanation:

The answer is 25

what is an equation of the line that passes through the points (4,-6) and has a slope of -3
1) y = -3x + 6
2)y = -3x - 6
3)y = -3x + 10
4) y = -3x + 14

Answers

Answer:

1) y = -3x + 6  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the point the line intersects, substitute the x and y values of (4,-6) into the formula as well. This gives the following equation:

[tex]y+6 = -3(x-4)[/tex]

2) Now, isolate the y in the equation to put it in slope-intercept form and find the answer.

[tex]y + 6 = -3(x-4)\\y + 6 = -3x+12\\y = -3x+6[/tex]

So, the first option is correct.

The variables x and y are related proportionally. When x = 8 and y = 20. Find y when x = 68.

Answers

Answer:

y = 170

Step-by-step explanation:

68/8 = 8.5

8.5*20 = 170

Answer:

170

Steps:

given: when x = 8 , y = 20

if x = 68

then y = (68 × 20)/8 = 1360/8 = 170

Which city has a higher median?

Answers

The correct answer is Arcadia

Let me explain why...

The median is the number that's in-between the other 2 numbers so for Millersburg the median around 200ish but the median for Arcadia is is exactly 240.This means that Arcadia is your answer

Hope you have an amazing day <3

-Yo MaMa

Please help me :) I will give BRAINLIEST !! Please help it’s so confusing for me!

Answers

Answer:

Step-by-step explanation:

The giant outlier is Palm Beach county. We can see that it lies well beyond the range of votes this regression model would predict for Buchanan, based on the observed linear trend between total votes and votes for Buchanan across all the other counties. Calculate the residual for Palm Beach county to determine just how much larger Buchanan's vote total was compared to what we'd predict based on the election results from the other counties.

Answers

Answer:

Hello your has some missing information attached below is the missing information

answer : 2355.62

Step-by-step explanation:

Calculating the residual for Palm Beach county

Given that total votes = 430772

and The regression equation = 56.115131 + 0.0023197 * Total Votes

The predicted Buchanan = 56.115131 + 0.0023197 * 430772 = 1055.377

while the Actual Votes Buchannan = 3411

Residual for Palm Beach county = Actual votes Buchannan - Predicted

                                                      = 3411 - 1055.377 = 2355.62

Note :

b0: 56.1132

b1: 0.0023

R2: 0.4593

The statistic that tests H0: ß1= 0: 7.43

Luna packed two chocolate bars for her trip. One s'mores uses 1/2 of a bar. If she has one s'mores a day, about how many days will the chocolates last?

Answers

Answer:

4 days.

Step-by-step explanation:

Each bar has 2 halves.

That means that in total, Luna has 4 halves, or, 4/2 parts.

If she uses half of a bar each day, then she will last 4 days.

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

m<3 = 127

Step-by-step explanation:

<3 = x

<5 and <3 are supplementary angles so:

x + 53 = 180

x = 127

a spreadsheet is _____.

Answers

Answer:

Step-by-step explanation:

a calculator spread out  :P   or maybe many calculators.. oh... it's a matrix of calculators... yes..

Answer:

software used to input, track, and calculate numbers

Step-by-step explanation:

Edge 2021

For which product or quotient is this expression the simplest form? (image attached)! please help :((

Answers

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

Solve the following proportion.
-1
T-1
5
2
!!!!pls

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

x-1/5=x-1/2

2(x-1)=5(x-1)

2x-2=5x-5

-2=5x-5-2x

-2=3x-5

-2+5=3x

3=3x

1=x

x=1

Which angle number represents an angle vertical to ZUXR?
T
X1
R
3/2
S
Y
4
5
U
W

Answers

Answer:

angle number 1

Step-by-step explanation:

An angle that is vertical to <UXR is an angle that is directly opposite to <UXR, which share the same vertex, X, as <UXR.

From the diagram given, the angle number that shares the same vertex as <UXR and is directly opposite to <UXR is angle number 1 (<SXT).

<1 = <UXR

What is 1.23625 rounded to the nearest cent?

Answers

Answer:
1.23625 rounded would be 1.24

Answer:

1.24

Step-by-step explanation:

Find the value of x in the triangle shown below 6 2

Answers

Answer:

x = 2√10  =   6.325

Step-by-step explanation:

a² +b² = c²      a = 6     b = 2    c = x

c = √(a² +b²)

c = √(6² +2²)

c = √(36 +4)

c = √(40)

c = 2√10        

what is the length of the hypotenuse?

Answers

Answer:

a=28

Step-by-step explanation:

100^2-96^2=28

WILL MAKE BRAINLIEST!!!

write the equation given the slope and y-intercept

1.) m= 1, b=2

2.) m= 1/4, b=0

3.) m= -3, b= 0.5

4.) m= 0.2, b=0.8

Answers

1) y=x+2

2) y=1/4x

3) y=-3x+0.5

4) y=0.2x+0.8

Katrina is rolling a six-sided number cube.

1) Determine the probability Katrina will roll a number equal to or less than 2.

2) Determine the probability Katrina will roll a number greater than 2.

Answers

Answer:

Step-by-step explanation:

1. 1 or 2 so 2 options

2 out of 6 is 33%

2. 3 or 4 or 5 or 6 so 4 options

4 out of 6 is 66%

Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm

Answers

Answer:

lateral surface area of cone =

[tex]\pi rl[/tex]

where, l = slant height, and r = radius

then

[tex]l.a = \pi \times 8 \times 17[/tex]

[tex]l.a = 136\pi[/tex]

The lateral area of this cone will be 136 π. Lateral area is found as the product of pi ,radius and slant height.

What is a cone?

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

lateral area of this cone is found as;

L=πrl

L=π×8×17

L=136π

Hence,the lateral area of this cone will be 136 π.

To learn more about the cone refer to the link;

brainly.com/question/16394302

#SPJ2

Pls answer just the answer

Answers

Answer:

588000

Step-by-step explanation:

if i am wrong pls tell me cause i think there's a different answer gl g

Answer:

$103,421.88

Step-by-step explanation:

Given:

P = 70000

r = 0.05

n = 1

t = 8

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]

What is the answer please I need help if you send a link I will report because your just trying to scam someone

Answers

Answer:

The median is 6.

Step-by-step explanation:

Finding the rate of a tax or commission
The sales tax for an item was $11.70 and it cost $390 before tax.
Find the sales tax rate. Write your answer as a percentage.
1%
Х
?

Answers

Answer:

3%

Step-by-step explanation:

$390 x tax rate = 11.70

tax rate = 11.70/390

tax rate = .03 or 3%

Other Questions
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Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable? Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high? Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. 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Job 306 is sold for $680,000 cash in April. Costs of the three jobs worked on in April follow: Job 306 Job 307 Job 308 Balances on March 31 Direct materials $30,000 $41,000 Direct labor 23,000 16,000 Applied overhead 11,500 8,000 Costs during April Direct materials 139,000 200,000 $115,000 Direct labor 103,000 150,000 104,000 Applied overhead ? ? ? Status on April 30 Finished (sold) Finished (unsold) In process Required:a. Determine the total of each production cost incurred for April (direct labor, direct materials, and applied overhead), and the total cost assigned to each job (including the balances from March 31).b. Prepare journal entries for the month of April to record the above transactions.c. Prepare a schedule of cost of goods manufactured.d. Compute gross profit for April 50 points Awarded Simplify the following expression: 3 *3 (4) *2 2 *6 (3) *5P.P is Subscript Warren is making trail mix to keep in his cupboard as a snack. 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