What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
A)
(x - 3)2 + (y + 1)2 = 8
B)
(x + 3)2 + (y – 1)2 = 8
0)
(x + 1)2 – (y - 3)2 = 8
D)
(x + 3)2 - () - 1)2 = 8

Answers

Answer 1

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Given

[tex](x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)[/tex]

Putting the values in the formula

[tex]r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}[/tex]

Putting the values of h,k and r in general form of equation

[tex]\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8[/tex]

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.


Related Questions

Tyson got a $15 gift card to use on song and movie downloads to his tablet. Each movie, m, costs $5 and each song, s, costs $1. Tyson's mom said he must use fewer than 10 downloads and that his total cost could not exceed the $15 amount on the gift card. Which of the following graphs shows the solution set of the system of inequalities?​

Answers

Answer:

c

Step-by-step explanation:

bla bla bla

The solution to the inequality m + s = 10  and 5 m + 1s = 15 is shown in the graph attached below, and as it can be seen the coordinated of intersections are  (8.75, 1.25), so option C is correct.

What is inequality?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

Total balance on card = $15,

The cost of each movie = $5,

The cost of each song = $1

The number of downloads  = 10,

Write the equation as shown below,

m + s = 10  and 5 m + 1s = 15

Here m is the number of movies and s is the number of songs,

Solve the equation by elimination method,

m = 5/4  = 1.25 and s = 35/4 = 8.75

As you can see, the value of the intersection of inequalities is (8.75, 1.25),

the graph is attached below.

To know more about inequality:

https://brainly.com/question/2038369

#SPJ2

Rotate the image 180° about the origin. Give the new coordinates of the image.

Answers

Answer:

2 my nigher

Step-by-step explanation:

Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
4) Through (-3,1), perpendicular to -3x - 7y = 2
A) y=7/8x
B) y = 3/7x + 24
C) y=-7/3x-8
D) y=7/3x+8

Answers

The answer is y= -3/7x - 2/7

figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)​

Answers

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[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]

[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]

[tex]slope = \frac{3}{3} \\ [/tex]

[tex]slope = 1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

what is the volume of a 8 cm Cube​

Answers

Answer:

512 cm3

Step-by-step explanation:

Answer:

512 cm3 (cubic centimeters)

Step-by-step explanation:

Reflect the point (-7, -9) across the x-axis: Then
Reflect the point (-7, -9) across the y-axis:

Answers

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

Ronnie made 5 pies for New Year's Day. Some of his family members are allergic to gluten, so he bought gluten-free flour for all of the pies. For each piecrust, he used 2 cups of flour. Health Mart sold bags with 4 cups of gluten-free flour for $12. How much did Ronnie spend on the gluten-free flour so that he had enough for the crusts?

Answers

Answer:

He spent $24 dollars

Step-by-step explanation:

Each of the piecrusts had 2 cup of flour he has 5 pies so all pies altogether equally 10 cups so he buys 2 bags for $24 dollars

Step-by-step explanation:

Number of gluten-free flour used for 5 pies= 2×5= 10 cups

cost of 4 cups of gluten-free flour = $12

cost of 1 cup = 12/4 = $3

Then,

cost of 10 cups of gluten-free flour = 3×10

= $30

Determine the domain and the range for this relationship.

Drag the tiles to the correct locations on the image. Not all tiles will be used.

(Several can be placed in one section, but not all of them will be placed.)

A. 0 ≤ x ≤ 6
B. 0 ≤ x ≤ 72
C. {0, 12, 24, 36, 48, 60, 72}
D. {0, 1, 2, 3, 4, 5, 6}
E. {0, 1, 2, 3, 4, 5, 6}
F. 0 ≤ y ≤ 72
G.{0, 6, 12, 18, 24, 30}
H. 0 ≤ y ≤ 6

Answers

Answer:

how are we supposed to know the answer if we don't know the problem?

Step-by-step explanation:

It makes no sense

Pre-calc. I need help NOW

Answers

X=0, x+4=0, and x-4=0. x=0, -4,4

The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?

The cost for 8 tickets to the play is

Answers

Answer:

78

Step-by-step explanation:

do 9x8= 72

then 72+6=78

PLEASEEEEE HELPPP!!!
HL
AAS
ASA
SSS
SAS
Unknown

Answers

angle angle side (AAS) we see the there are dash marks on each of the angles and the triangles share one side. pls give brainliest if possible. have a good day!!

An car drives 9 miles in 10 minutes at a constant speed what is the car speed in miles per hour

Answers

Answer:

54 miles per hour

Step-by-step explanation:

A package of nuts weights 3/4 of a pound. One serving size is 1/8 of a pound, how many servings in the package?

Answers

Answer: 6 servings

Step-by-step explanation:

One serving is 1/8 of a pound.

One package is 3/4 of a pound.

The number of servings therefore will be the number of times that 1/8 can go into 3/4.

= (3/4) / (1/8)

= (3/4) * (8/1)

= 6 servings

2x + 5 greater then or equal to -1

Answers

So according to this equation
2x+5=-1
=>2x = -1-5(when 5 goes to the right side it sign changes)
=>2x = -6
=>x = -6/2 (when 2 goes to the right side it gets divided)
=> x = -3
Answer is the value of x is -3.
HOPE IT HELPS YOU!

Trisha’s parents bought a new house that has 2,255 square feet.
The price per square foot was $98. How much did they pay for the house? Enter your answer in the box.

Answers

Answer:$220,290

Step-by-step explanation:

2,255 multiplied by 98 is 220,290

The total cost of Trisha’s parents new house is $220990.

Given that, Trisha’s parents bought a new house that has 2,255 square feet.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The price per square foot was $98.

So, the total cost of house = Number of square feet × The price per square foot

= 2,255 × 98

= $220990

Therefore, the total cost of Trisha’s parents new house is $220990.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

How do you write the fraction-3/4 into a decimal

Answers

-.75. 3÷4 = 75. put a negative sign beside it and it’ll be negative boom.

Answer:

-0.75

Step-by-step explanation:

Hope that helps you have a great day!

how do you do this? plz help me with math!

Answers

Answer:

it's x=50 hope this helps

Answer:

[tex]\frac{50}{5}[/tex] is the answer

Step-by-step explanation:

you would times 10 by 5 and you have your answer

find the domain and range for the function graphed below ​

Answers

Answer:

Domain: 3, 2, 1, 0, -1 , -2 , -3

Range: 5 , 4 , 3 , 2 , 1 , 0 , -1 , -2

Step-by-step explanation:

The domain values are all of the x-values, and the range value are all of the y-values. Domain ad range can also be know as input and output.

Explain how you determine the sign of your answer when you raise a negative base to a power.

Answers

Answer:

If the power is even number sign will be positive.

If the power is odd number sign will be negative.

Example:

-2²  = -2 * -2 = 4

-2³  = -2 * -2 * -2 = 4 * -2 = -8

six more than a number ,x, YOOOOO PLZ USE AN ALGEBRAIC EXPRESSION/EQUATION

Answers

Answer: 6+x or x+6

Step-by-step explanation:

You are adding 6 to a number, in this case, we'll use x.

You need 4 1/8 yard of blue silk to make one bridesmaids dress and 3 5/8 yards of the same fabric to make another. how many yards of blue silk do you need to make both dresses

Answers

I think the answer would be 7 3/4

ILL MARK U BRAINLIEST!!

One out of four girls favorite color is red, and three out of four girls favorite color is pink. If there were 500 girls , how many of them favorite color would be red?

Answers

Answer:

125

Step-by-step explanation:

1/4 of 500 (the total number of girls) is 125.

HTH :)

Write an equation in slope-intercept form for the line
that has a slope of -4 and passes through (1,2).

Answers

Answer:

Step-by-step explanation:

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

Pls help I’m begging

Answers

Answer:

3:1 and 15:5

Step-by-step explanation:

Not too sure

Can someone please help me

Answers

Answer:

dilation factor is 4

Step-by-step explanation:

what did you had to multiply the side of the small initial picture by to get the big picture?

-the small side that is 2 became 8 so you multiplied by 4

Write addition sentences (expression) where the sum is
zero.

Answers

0+0 that’s all i think
Or you could do a number plus it’s “negative equal”
Example:10+(-10)

4. When Hillary and Winston go to the grocery store together, Hillary buys eight boxes of gummies and Winston buys four boxes of gummies. If Winston buys 16 boxes of gummies, how many does Hillary buy?

Answers

Answer:

32 boxes of gummies

How can you Factor:ab^2-ab

Answers

Answer:

ab(b−1)

Step-by-step explanation:

Factor ab out of  ab ^2 − ab

Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.

Answers

Answer:

it has more than 2 factor

Answer:

I think its b I'm pretty sure

x + 15y = 45 / x + 10y = 30 solve for x and y

Answers

Answer:

25y = 45/1x = 30

Answer:

x=10; y=2

10+15(2)=40

10+10(2)=30

so this is correct

Step-by-step explanation:

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