How do you find the equation of the circle given center at (1,-3), and radius 10?

Answers

Answer 1

Answer:

note: all the twos are to the power

100=(x−1)2(y+3)

Step-by-step explanation:

Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:

r2=x2+y2

The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at

(x,y)→(1,−3)

So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.

Thus we would have:

r2=(x−1)2+(y−(−3))2

r2=(x−1)2+(y+3)2

But the radius is 10 so we have

(10)2=(x−1)2+(y+3)2

100=(x−1)2+(y+3


Related Questions

y+1/y-1 = 2y+3/2y+5 simplify​

Answers

Answer: y=0.6 I think (try checking with other answers first)

Hope this helps a little and good luck :)

Step-by-step explanation:

simplify the exponential expression completely. pleeeease help me!!!!! thank you so so so much!!! *will give brainliest*

Answers

Answer:

( C ) p5 / q4

Step-by-step explanation:

The equation 2x-7=5+x has exactly one solution. True or false

Answers

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

Need help !!!! thanks

Answers

Answer:

same side interior, and adjacent

Step-by-step explanation:

Need help on this thank you if you help

Answers

Answer:

a. 2/5

b. 1/2

c. 100/9

Step-by-step explanation:

a: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:

.12 × 100 = 12

.3 × 100 = 30

Simplify: 12/30 = 2/5

b: Multiply bottom and top by 1,000 to keep values the same and make the fraction a whole fraction:

.125 × 1,000 = 125

.25 × 1,000 = 250

Simplify: 125/250 = 1/2

c: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:

4 × 100 = 400

.36 × 100 = 36

Simplify: 400/36 = 100/9

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 gal : 24 gal

Answers

2:3 . you divide the numbers by the greatest factor. which is 8. 24 divided by 8 is 3, 16 divided by 8 is 2. =2:3

2. Find the slope of the line graphed below.

Answers

Y=9x-3 I found this doing rise over run...,not sure if it’s right been awhile since I have done this...thank you

Write the sum as a product of two factors
27w+15

Answers

Answer:

I'm pretty sure it is 1.8.

Step-by-step explanation:

Tell whether each function is linear or nonlinear. Use the drop-down menus to show your answer.

Answers

function a is non linear while function b is linear

explanation: for function a, y is increasing at a non linear rate (not consistent)

What is the remainder when
f(x) = 2x4 + x2 – 8x – 1 is divided
by x - 6?

Answers

Answer:

Step-by-step explanation:

x - 6 = 0

x = 6

f(x) = 2x⁴  + x² - 8x - 1

     =2(6)⁴+ 6² - 8*6 - 1

     = 2*1296 + 36 - 48 - 1

     = 2592 + 36 - 48 - 1

     = 2628 - 49

     = 2579

My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.

Answers

Answer:

I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.

Step-by-step explanation:

Like 32-34 I think.
..

WILL GIVE BRAINLIEST PLEASE HELP URGENT
Harris graphs the system of equations to determine its solution.

5x−y=55x+y=15

What is the correct solution?

Enter your answer by filling in the boxes. (__,__)

Answers

(1/2, -25/2). because 60x=30 , x=1/2,5x1-2-y=15, y=-25/2.

The intersection point of a system of equation is the solution of the system.

The solution to the system of equations is (2,5)

The equations are given as:

[tex]\mathbf{5x - y = 5}[/tex]

[tex]\mathbf{5x + y = 15}[/tex]

See attachment for the graphs of [tex]\mathbf{5x - y = 5}[/tex] and [tex]\mathbf{5x + y = 15}[/tex]

From the graph, the point of intersection is (2,5).

Hence, the solution to the system of equations is (2,5)

Read more about system of equations at:

https://brainly.com/question/12895249

please help me and can you explain thank you

Answers

Answer:

(4,2), there is already a 4 in x value

Step-by-step explanation:



The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)ᴛᴀʙʟᴇ ᴀ
B)ᴛᴀʙʟᴇ ʙ
C)ᴛᴀʙʟᴇ ᴄ
D) ᴛᴀʙʟᴇ ᴅ

ɪ'ᴍ sᴛᴜᴄᴋ ᴏɴ ᴛʜɪs ᴏɴᴇ ᴛᴏᴏ!
ᴀɴʏᴏɴᴇ ᴋɴᴏᴡ ᴛʜɪs ᴏɴᴇ?

Answers

Answer:

C

Step-by-step explanation:

Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.

log b x= y
Which variable can be negative???

Answers

Answer:

last one

Step-by-step explanation:

sports drinks- $1.75
pizza- $2.25

Answers

Answer:

7 drinks

Step-by-step explanation:

7x1.75=12.25

4 x 2.25= 9

added - 21.25


Find the solution of this system of equations:
X - 10y = -59
-4x + 10y = 86
0 (-9,5)
(5,9)
(5,-9)
(9,-5)

Answers

Answer:

y=-3.667

x=

Step-by-step explanation:

-4(10y-59)+10y=86

30y+196=86

30y=-110

y=-3.667

help, please? Pleeeeeeeaaaaaaasssssssseeeeeee??

Answers

Answer:

Graph A passes THrough the Center making it proportional when graph B is not passing

Step-by-step explanation:

Answer:

that is y

Step-by-step explanation:

Graph A is proportional because it runs thru the origin while the other doesn't

Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?

Answers

So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

b

Step-by-step explanation:

Solve: 1,243 = 12
Show the remainder as a fraction.

Answers

If you meant 1243/12 then the answer is 103 and 7/1243

pleases show workkkkkkkkkkkkkkkk

Answers

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

PLEASE HELP ME

ILL GIVE YOU BRAINIEST

PLEASE ASAP

Answers

Answer:

b

Step-by-step explanation:

Will mark brainliest for whoever answers

Answers

Answer:

No

Step-by-step explanation:

You have to do it.

please answer this. thank you

Answers

Answer:  [tex](-\infty, -4][/tex]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]

The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]

Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

Help ME PLEASE !9 POINTS !!!

Answers

Answer:

5x7x6= 210

Step-by-step explanation:

Answer:

the area is 36

Step-by-step explanation:

use (a+b/2)h

or use google lol

(5+7/2)6 - numbers in formula

(12/2)6 - parentheses

(6)6 - parentheses

36 - multiply

hope that helped

Write an equation of the line that passes through (-2, 3) and is parallel to the line y= 2x-4​

Answers

Answer:

A hi esta la solucion

Step-by-step explanation:

Answer:

y=2x+7

Step-by-step explanation:

Since the answer HAS to be parallel to the line y=2x-4, that means the only number that should change is the y-intercept (the last number in the equation.) y-intercept is the x-value when y=0, which basically means, if you put the line onto a graph, look for the point when the line passes through the y-axis, then look at how far up or down that point is (x-value). That will be your answer. Since the line passes through the y-axis at x=7, the answer is y=2x+7! Sorry if this is too confusing, I'm not good at teaching XD

4. The graph of a linear function is shown. Which best
describes the slope of the line?
A. Zero Slope
B. Undefined Slope
C. Negative Slope
D. Positive Slope

Answers

Negative slope So c

idk what i'm doing :(

Answers

Here is an equation for those numbers you can write this multiple ways but this is the easier form

3.
Solve using traditional division: 3,385 divided by 31.

Answers

Answer:

109.193548

Step-by-step explanation:

Answer:

109 r6

Step-by-step explanation:

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