Identify the center and radius of each. Then sketch the graph.
(x-1)^2 +(y+ 3)^2= 4
pls tell me the radius also

Answers

Answer 1

Answer:

Step-by-step explanation:

Can't sketch it, obviously, but I can help you understand how to do that on your own. The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates for the center of the circle. The super-important thing to remember here is that the standard form is ALWAYS (x-h)^2 (the minus being the important part!). That means that if the expression is

[tex](x-2)^2[/tex] for example, it can be rewritten to be understood as

[tex](x-(+2))^2[/tex] where the positive implies movement to the right. If the expression is

[tex](x+2)^2[/tex] for example, it can be rewritten to be understood as

[tex](x-(-2))^2[/tex] where negative is indicative of movement to the right. The location of the center of a circle will help you graph it.

In our circle, we have a -1 in with the x and a +3 in with the y. The -1 indicates movement to the right 1 unit (positive 1), while the +3 in with the y indicates movement to the left 3 units (-3).  Therefore, the movement of the circle also indicates the coordinates of the center: (1, -3).

The radius is found in the square root of the number to the right of the equals sign. Ours is a 4; therefore, the radius is 2.

To draw this circle, locate the point (1, -3) on your graph paper and put a dot. Then count directly to the right 2 units and make a dot, directly to the left 2 units and make a dot, directly up 2 units and make a dot, and directly down 2 units and make a dot. Connect the outer 4 dots in as smoothly as possible to get a circle. And there you go!


Related Questions

Look at Picture please

Answers

Answer:

D

Step-by-step explanation:

4(3+5)-3×9^212+20-3×9^212+20-3×8112+20-24332-243-211

Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.

Answers

Answer:

do you need a graph of it or it just multiplied out step by step?

Answer:

3x^4-24x^3+72x^2-96x+48

Step-by-step explanation:

1. (x-2)^4

=(x-2)(x-2)(x-2)(x-2)

=x^4-8x^3+24x^2-32x+16

2. 3(x^4-8x^3+24x^2-32x+16)

=3x^4-24x^3+72x^2-96x+48

Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.


375, 350, 400, 375, 375, 425, 350, 125, 400


I swear I get so confused with these-

Answers

Answer:

125 is an outlier

125 changes the mean by 23 points (from 375 to 352)

Step-by-step explanation:

an outlier is 1.5 times the IQR

the InterQuartile Range of this set of data is 400-350 or 50

50 x 1.5 = 75

the only data value that is 75 points from the IQR is 125

If a pie is divided evenly into thirds, what can you infer about each slice?

Answers

Answer:

I can infer that each slice is exactly the same size.

Step-by-step explanation:

If the pie is divided evenly into thirds, then each slice is the exact same size.

Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation. How many possible outfit combinations does Ethan have for his trip?
4
48
12
6

Answers

Answer:

Ethan can make 48 possible combinations.

Step-by-step explanation:

Given that Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation, to determine how many possible outfit combinations does Ethan have for his trip the following calculation must be performed:

Shirts x pants x shoes = Number of combinations

6 x 4 x 2 = X

24 x 2 = X

48 = X

Therefore, Ethan can make 48 possible combinations.

Answer:

48

Step-by-step explanation:

I took the test and got it right

A rectangle 9cm long is equal on area to a square which has a perimeter of 24cm. find the width of the rectangle​

Answers

Answer:

the width is 64cm

Step-by-step explanation:

24 x 24 = 576

576 ÷ 9 = 64

8
Angle has 12 feet of string. She will cut the string into equal lengths of 5 inches each. How
much string will be left after she cuts as many of these lengths as possible?
F 0.8 in
G 2 in.
H4 in.
3
1.25 in.

Answers

She will have 2 in of string left after she cuts as many as she needs
La respuesta es la g estoy segurísimo

A circle with the diameter of 20 mm is showing what is the exact Sir conference obvious and then question to what is the approximate sir conference

Answers

Answer:

The approximate circumference is 62.8 mm

Step-by-step explanation:

Circumference is basically the perimeter of the circle

Circumference is given by

[tex]2 *\pi *r[/tex]

Here the diameter is 20 mm, so the radius will be half of diameter = 10 mm

Substituting the given values, in above equation, we get -

Circumference =

[tex]2 *3.14 * 10 \\62.8[/tex]mm

The approximate circumference is 62.8 mm

Un camion transporta aceite de oliva en un deposito con forma de cilindro de 1m de radio y 5m de altura . Si en cada viaje que realiza lleva el deposito lleno . ¿ Cunatos metros cubicos de aceite transportara ?

Answers

Answer:

15.71 metros cúbicos de aceite transportará el depósito del camión.

Step-by-step explanation:

Un camión transporta aceite de oliva en un deposito con forma de cilindro de 1 m de radio y 5 m de altura.

Para calcular la cantidad de aceite que transportará se debe calcular el volumen del depósito, siendo con forma de cilindro. El volumen de dicha figura es calculada como V=π*r²*h, donde r es el radio y h es la altura.

En este caso, el volumen del depósito cilíndrico es:

V=π*( 1 m)²*5 m

Resolviendo:

V=15,71 m³

15.71 metros cúbicos de aceite transportará el depósito del camión.

NO FILES, ONLY CORRECT ANSWER! WILL GIVE BRAINLY IF CORRECT. WILL REPORT IF YOU ANSWER WITH FILE ..

Given the sequence of numbers, a4=13, a5=16, a6=19, a7=22, and a8=25.

Which recursive rule can be used to find the nth term of the sequence, an?


a1=13; an=an−1+3

a1=4; an=an−1−3

a1=4; an=an−1+3

a1=13; an=3an−1

Answers

Answer:

a1=4; an=an−1+3

Step-by-step explanation:

I´m Pretty Sure......

how many times does 10 go into 2000

Answers

2000/10=200

The answer is 200 times

You have a picture that is 4 inches wide by 6 inches long. You want to reduce it in size to fit a frame that is 1.5 inches wide. How long will the reduced photo be?

Answers

Answer:

2.25

Step-by-step explanation:

A picture is 4 inches 6 inches long

The length at which it would be reduced to can be calculated as follows

6/x= 4/1.5

Cross multiply

4x= 9

x= 9/4

= 2.25

Hence the length would be reduced by 2.25

Please help me!!!! The problem is down below.

Answers

Answer:

3:2

Step-by-step explanation:

lisa has 36 stickers, and john has 24, making the ratio 36:24, since they are both devisable by 12, you would get 3:2

Answer:

3:2

Step-by-step explanation:

Select ALL the correct answers.
Christy rented a banquet hall for her company party. There was a non-refundable deposit of $300 to reserve the space and an $85 fee for decorations. The banquet hall charged $27 per person for food. Their total bill was $2,653 for b employees.

Choose an equation that represents the total cost of the company party. Then, choose the number of employees that attended the party.

412b = 2,653
112 employees
7 employees
27b - 385 = 2,653
27b + 385 = 2,653
84 employees

Answers

Answer:

"A"

Step by step:

heart it if it works lol

Find the value of X. show your work (geometry)

Answers

Answer:

x = -6

Step-by-step explanation:

x + 121 = 115

subtract

x = -6

Answer:

x=-6

Step-by-step explanation:

the 115° angle and (x+121)° angle are alternate exterior angles, meaning that since lines are parallel, these angles are congruent

to find x:

x+121=115

x=-6

Anyone good with comps it’s figures?

Answers

Answer:

answer: 379.2

Hope this helps!

Answer:

can u make it clearer

Step-by-step explanation:

VENN DIAGRAM
pls help im really confused

Answers

Answer: hmmm i wish i can help

Step-by-step explanation:

HELP PLS‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

64 sq cm

Step-by-step explanation:

divide the shape into a 6x8 rectangle and a 4 x 8 triangle

6x8=48

.5x4x8=16

48+16=64

I will give u a crown no links will be reported edge2021

Answers

Answer:

(2/3, 1/5)

Step-by-step explanation:

x=2/3, y=1/5

Answer:

(2/3, 1/5)

Step-by-step explanation:

x=2/3, y=1/5

Use the Zero Product Property to solve the equation (x – 5)(x + 4) = –14.

Answers

Answer:

x = 3   or  x = -2

Step-by-step explanation:

(x - 5)(x + 4) = [tex]x^{2} - x - 20[/tex] = -14

                      [tex]x^{2} - x -6 = 0[/tex]

                      (x - 3)(x + 2) = 0

                       x = 3   or  x = -2

What is the missing constant term in the perfect square that starts with x^2-16xx
2
−16xx, squared, minus, 16, x ?

Answers

Answer:

64

Step-by-step explanation:


What is the end behavior? (select 2)



Ignore: need to be 20 characters or more

Answers

Answer:

The correct end behavior are;

As x approaches positive infinity, y approaches positive infinity (D)

As x approaches negative infinity, y approaches positive infinity (B)

Step-by-step explanation:

Here, we want to get the end behavior of the graph

Kindly note that the upward arrow represents a movement toward infinity

Thus, we have it as follows;

As the value of x increases (towards the right); the value of y tends toward positive infinity

secondly: as the value of x decreases, tends toward the left, the value of y also tends toward positive infinity

You Have Tiangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9) After a 90 Degree Counterclockwise rotation, what is the new coordinate of Z'?

Answers

Answer:

Z'(9, - 1)

Step-by-step explanation:

For a 90 degree counterclockwise rotation about the origin,

The original coordinates of point P (x,y) will now be positioned as P' (-y,x).

Hence, given :

Triangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9)

The new position of Z denoted as Z' will be :

Z(-1, - 9) ; X = - 1 ; y = - 9

-y = - - 9 = 9

x = - 1 will remain as - 1

Z(-1, - 9) - - - > Z'(9, - 1)

Which one you think is the right one?

(No link pls)

Answers

Answer:

You are correct, it is B.

Step-by-step explanation:

Find the angle of the sector given the radius and the length of the arc.
Radius = 11 ft
Arc length is 5.8 ft

Answers

Answer: 30 degrees

Step-by-step explanation:

helpp
What is the exact value of sin( – 57) ?

Answers

Answer:

c

Step-by-step explanation:

Answer:

The result can be shown in multiple forms.

Exact Form:

sin

(57)

Decimal Form:

0.83867056...

Step-by-step explanation:

Just simply convert the decimal into a fraction and that should be your answer.

KHAN ACADEMY..... AGAIN..

Answers

Answer:

x = 12

Step-by-step explanation:

10x+24 = 6x+72

10x - 6x = 72 - 24

4x = 48

x = 12

Answer:

144

Step-by-step explanation:

10x+24=6x+72

-6x          -6x

4x+24=72

     -24  -24

4x=48

/4   /4

x=12

<A=10(12)+24

<A=120+24

<A=144

Is d = -4 a solution to the equation 3(d + 12) = 8 - 4d ?​

Answers

No because...

3(d+12) =8

Distribute the 3.

3d+36=8

Subtract the 36.

3d = -28

Divide by 3 to isolate d.

d = -28/3 or 9.33

Find the 8th term of the geometric sequence 10, -40, 160, ..

Answers

Answer:

kkkk74

Step-by-step explanation:

Please help fast if appreciate it

Answers

Answer:

In 30 days the rainfall level will be 30 × (2.3 +- 0.05 mm) or 69.0 +- 1.5 mm

Other Questions
A recipe calls for 1/4 cup of flour. You want to make 1/2 of the recipe. How much flour do you need? On Monday, Courtney spent 14 minutes solving 1 math problem and 2 biology problems. On Tuesday, Courtney spent 16 minutes solving 2 math problems and 1 biology problem. Write and solve a system of equations to find how long it takes Courtney to solve each math problem and each biology problem Two more than the quotient of a number and 3 is equal to 8. Choose a flowering planta dandelion, a sunflower, or another flowering plantyou can easily get your hands on. Attempt to get as much of the plant, including the root system, as possible. If you are unable to get a real plant, use the image below as a reference. Using the knowledge that you already have about the plant structure, examine the plant that you have chosen and identify its roots, stems, leaves, and flowers. Then, fill in the details in the table provided. Please find missing side length What are the two major goods that were traded on the trans-Saharan trade routes? -Source: Edward Humes, historian, Over Here: How the G.I. Bill Transformed the American Dream, 2014If the G.I. Bill of Rights altered the landscape of higher education in America, it transformed the cultural and physical landscape of the country even more dramatically. The American suburban exodus of the 1950s did not simply spring into existence on its own: It is no exaggeration to say that the creation of suburbia and the resulting extension of home ownership to a majority of families in American was launched, underwritten, and paid for by the G.I. Bill.Which of the following pieces of historical evidence from the United States census could best be used to support the argument in the excerpt?A.data showing changes in the number of suburban neighborhoodsB.data showing population growth in the South and WestC.data showing the number of veterans who bought housesD.data showing the average earnings of American households find the factorization of x2 = 5x + 4. From the perspective of the ____, the price at which a unit is exchange is the marginal cost of that unit a line that passes through the point (3,-1) and has a slope of -2/3 how did the enslavement of black people help white americans? The Mayas moved from the highlands of Guatemala to: 1. Central America 2. Yucatan Peninsula 3. Mexico City Which sentence in this excerpt from Leo Tolstoy's The Death of Ivan Ilyich shows that Ivan Ilyich finally understands the cause of his suffering? Name three notable people during the Harlem Renaissance and what they were notable for. Anyone know the answer to these A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution. Determine the probability that exactly four complaints will be received during the next eight hours. Guess my fav rapper and you will become the BRAINLIEST :) A restaurant found that 28% of its customers ordered salad and 35% ordered beef. What percent of the customers ordered something else?(WHOEVER ANSWERS FIRST WILL GET BRAINLIEST, A THANKS, AND A 5 STAR REVIEW) PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!GIVING BRAINLIEST A daily reminder to remind you, peasants, who is the queen of rap.