Write the standard form of the equation of the circle below.
Center (0,-1) passes through the point (-1,-2)

Answers

Answer 1

Answer:

[tex]x^2+(y+1)^2=2[/tex]

Step-by-step explanation:

We use the formula for a circle with center at (0, -1), that goes through the (x, y) point (-1, -2):

[tex](x-0)^2 + (y-(-1))^2 = R^2\\Using \,\,\,point\,\,\,(-1, -2)\\(-1-0)^2+ (-2+1)^2 = 1 + 1 = 2 = R^2[/tex]

Therefore, the equation of this circle can be written as:

[tex]x^2+(y+1)^2=2[/tex]


Related Questions

Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ

Answers

The question is incomplete. Here is the complete question.

Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?

A. [tex]2+12\sqrt{2}[/tex] units

B. [tex]7+2\sqrt{2}[/tex] units

C. [tex]10+4\sqrt{2}[/tex] units

D. [tex]12+2\sqrt{2}[/tex] units

E. [tex]12+4\sqrt{2}[/tex] units

Answer: E. [tex]12+4\sqrt{2}[/tex] units

Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.

The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.

Distance of two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Segment MN:

Coordinates: M (2,4) and N (5,8)

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

d = 5

Segment ML:

Coordinates: M (2,4) and L (4,2)

[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment NP:

Coordinates: N (5,8) and P (8,4)

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

d = 5

Segment PQ:

Coordinates: P (8,4) and Q (6,2)

[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment LQ:

Coordinates: L (4,2) and Q (6,2)

[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]

d = 2

Calculating perimeter (P):

P = MN + ML + NP + PQ + LQ

P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]

P = [tex]12+4\sqrt{2}[/tex]

Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units

What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?

Answers

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?

Answers

Answer:

170 peanuts I believe

Step-by-step explanation:

just did mental math, not sure if it's the right way

Find the surface area of the rectangular prism.
4 mi
5 mi
4 mi

Answers

Answer:

112

Step-by-step explanation:

A = 2 (wl+hl+hw)

A = 2 (4 x 5 + 4 x 5 + 4 x 4)

A = 2 (20 + 20 + 16)

A = 2 x 56

A = 112

Please help!!!!!
(50 points)

Answers

It’s number two I think not sure if it’s right though

Answer:Hope this helps

Step-by-step explanation:

isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect

Answers

Answer:

103 dimes and 108 quarters

Step-by-step explanation:

Given

[tex]Value = \$37.30[/tex]

[tex]Amount = 211[/tex]

Required

Determine the number of each coin collected

Represent dimes with D and quarters with Q.

[tex]1\ D= \$0.10[/tex]

[tex]1\ Q= \$0.25[/tex]

So:

[tex]0.10D + 0.25Q = 37.30[/tex] --- Value

[tex]D + Q = 211[/tex] --- Amount

Make D the subject in [tex]D + Q = 211[/tex]

[tex]D = 211 - Q[/tex]

Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]

[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]

Open brackets

[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]

Collect Like Terms

[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]

[tex]0.15Q = 16.2[/tex]

Make Q the subject

[tex]Q = 16.2/0.15[/tex]

[tex]Q = 108[/tex]

Substitute 108 for Q in [tex]D = 211 - Q[/tex]

[tex]D = 211 - 108[/tex]

[tex]D = 103[/tex]

which values are solutions to the inequality below? check all that apply √x < 5

A.) 1296
B.) 17
C.) 22
D.) 36
E.) -2
F.) 77

Answers

Answer:

B); C).

Step-by-step explanation:

1) if sqrt(x)<5, then x∈(0:25);

2) if x∈(0;25), then the values 17; 22 are correct

‼️‼️‼️‼️‼️‼️‼️‼️HELPPPPPPPP NOWWWW and any other questions on my page recently ill mark you brainliest

Answers

Answer:

A) t(x)=948(0.955)^x

Step-by-step explanation:

The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!

please help me I will make you brilliance ​

Answers

Answer:

Option B

Step-by-step explanation:

In this question , we just need to make "F" as the subject of the equation.

So, lets solve the equation.

[tex]R = \frac{F}{N + F}[/tex]

→ Multiplying (N + F) on both the sides ,

[tex]=> R \times (N + F) = \frac{F}{(N + F)} \times (N + F)[/tex]

[tex]=> RN + RF = F[/tex]

→ Substracting both the sides with RF ,

[tex]=> RN + RF - RF = F - RF[/tex]

[tex]=> RN = F - RF[/tex]

→ Taking F common from R.H.S ,

[tex]=> RN = F(1 - R)[/tex]

→ Dividing both the sides by (1 - R) ,

[tex]=> \frac{RN}{1 - R} = \frac{F(1 - R)}{(1 - R)}[/tex]

[tex]=> \frac{RN}{1 - R} = F[/tex]

∴ Hence , [tex]F = \frac{RN}{1 - R}[/tex]

|-3/4+1/8|- (2/3+1/6)

Answers

Answer:

-5/24

Step-by-step explanation:

-3/4 = -6/8

-6/8 + 1/8 = -5/8

|-5/8| = 5/8

2/3 = 4/6

4/6 + 1/6 = 5/6

5/8 - 5/6  =  15/24 - 20/24

15/24 + (-20/24) = -5/24

2^3 - (12 divide 6) + 8

Answers

use pemdas: 2^3-(2)+8 —> 8-(2)+8 —> 6+8 —> 14


Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided

Answers

Answer:

the answer is D

Step-by-step explanation:

got it right on edg

11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare​

Answers

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Two geometric means are inserted between 6 and 384 so the four numbers form a geometric sequence. What are these two numbers?
Hint: an = a1 ( 0-1, where a, is the first term and r is the common ratio.
A. -24,96
B. -24, -96
C. 24,96
D. 22, 108​

Answers

Answer:

A

Step-by-step explanation:

idc

Sales tax is 7% What will be the sales tax on a purchase of 28.95

Answers

Answer:

7%=$2.03

$28.95+$2.03=$30.98

I am not 100% sure but it is better than nothing.

The answer is $2.0265

5
Explain
why 36% is
less than 3/8

Answers

Because 3/8 as a percentage would be 0.375%


Help! Please Help lol

Answers

Rise over run, the slope is m=3/3 so y=3/3x+3, it’s +3 because that is where the y intercept is

The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?

Answers

Answer:

The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Step-by-step explanation:

Given;

number of bagels in 2 hours = 310 bagels

The rate per hour is calculated as;

[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]

In 20 hours, the number of bagels made is calculated as;

Number of bagels = 155 (bagels/hour) x 20 (hour)

                               = 3100 bagels.

Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope

Answers

Undefined slope because it’s a straight line

Answer:

Undefined

Step-by-step explanation:

2) An $80 text book was on sale for $49.60 at the used book store. By what percent did the book decrease in price?​

Answers

The answer fam is......... 38%

Answer: 38%

Step-by-step explanation:

80x0.62=49.60

Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?

Answers

Answer:

50 miles

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

Answer:

200 miles

Step-by-step explanation:

30%=60

60x3=180

180=90

60/3= 20

20=10%

180+20=200

16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is

Answers

Answer:

the 6th term is = -0.16384

Step-by-step explanation:

Notice this is a geometric sequence with first term 16, and common ratio (-0.4)

Therefore the first 6 terms of the sequence are:

a1 = 16

a2 = 16 * (-0.4) = -6.4

a3 = -6.4 * (-0.4) = 2.56

a4 = 2.56 * (-0.4) = -1.024

a5 = -1.024 * (-0,4) = 0.4096

a6 = 0.4096 * (-0.4) = -0.16384

The the 6th term is = -0.16384

Find the 5th term in the sequence described by 3n - 2. (1 point)
O 13
O 17
07
0-13

Answers

Answer:

It's 13

Step-by-step explanation:

the fifth term is n. do 3*5=15 and then subtract 2 to get 13!

(4x-20)° what is the value of x

Answers

Answer: 4(x−5)

Step-by-step explanation:

I think this is right. If it’s not Im sorry. But if it is hope this helps!

What is the right answer for the ordered pairs?

Answers

Answer:

D. (2, -3) and E. (4,-1)

Step-by-step explanation:

In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).

Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)

21 miles equal how many feet

Answers

Answer:

110, 880 feet

Step-by-step explanation:

5,280 feet in one mile x 21 miles

Answer:

110, 880 feet

Step-by-step explanation:

What is the absolute value I15I

Answers

Answer:

its 15

Step-by-step explanation:

The answer is 15.

∣15∣ = 15

Absolute value describes the distance of a number on the number line from 0 without considering which direction from 0 the number is.


I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.

Answers

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)

Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above

Answers

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?

Answers

Answer:

$1101

Step-by-step explanation:

Given data

A= $1,172.60

R= 3.2 = 0.032

t= 2

The expression for compound interest is

A= P(1+r)^t

Substitute

1172.60=P(1+0.032)^2

1172.60=P(1.032)^2

1172.60=P1.065

Divide both sides by 1.065

1172.60/1.065= P

P=$1101

Hence the original amount is $1101

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