Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)

Answers

Answer 1

Answer:

[tex](x+4)^2+(y-8)^2=85[/tex]

Step-by-step explanation:

The standard equation for a circle is given by:

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

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]

Simplify:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

[tex](-2+4)^2+(-1-8)^2=r^2[/tex]

Evaluate:

[tex](2)^2+(-9)^2=r^2[/tex]

Square:

[tex]4+81=r^2[/tex]

Add:

[tex]r^2=85[/tex]

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Substituting 85 for r squared, we get:

[tex](x+4)^2+(y-8)^2=85[/tex]

And we have our equation.


Related Questions

5y + 10x = 0
y = - 3x

Plz help me the photo is the directions for the problem

Answers

When substituting, you want to take the y value from one equation and plug it into the y variable in the other equation to find the x value. When you find the c value, you plug the number into one of the equations to get your y value.

2. An electric fan has a resistance of 3.0 kN and a voltage rating of 220 volts. What
is the current needed to operate the electric fan?
Given:
Resistance (R)
ka x (1000/1 kg) =
volts
Voltage (V)
Required: Current (1)
Formula:
voltage
resistance
Solution:
V-IR
Answer:
Current =
A, the current needed to operate
the electric fan​

Answers

Answer: 73.33A

Step-by-step explanation:

Resistance (R)= 3.0 kN

Voltage (V)= 220 volts

Current (I)= Unknown

The formula to calculate the current will be:

Current = Voltage / Resistance

Current = 220 / 3.0

Current = 73.33 A

Therefore, the current needed to operate the electric fan is 73.33.

what is the solution for 36.16=17.56+5x

Answers

Answer:

x=3.72

Step-by-step explanation:

Answer: x = 3.72

Step-by-step explanation:

36.16 = 17.56 + 5x

-17.56 = -17.56

18.6 = 5x

Divide 18.6 by 5 and divide 5 by 5.

3.72 = x

Anna made a scale drawing, in inches, of a building using a scale of 1:600. Her scale drawing was 6 inches long. Greg made a scale drawing of the same building using a scale of 1:300. How long, in inches, was Greg's scale drawing? A 2 B 3 C 12 D 50

you'll get 30 points.​

Answers

Answer:

C.12

Step-by-step explanation:

Answer:

i dont exactly know but the answer is C ?

Step-by-step explanation:

PLEASE HELP !! 10 POINTS AND BRAINLIEST !!!:)

Answers

Infinite lines of symmetry because you can make any cut on the circle and it would en symmetric with the captain America shield

CAN YOU PLEASE HELP ME CORRECT ANSWER GETS BRAINLIST !

Answers

Answer:

25

Step-by-step explanation:

7^2+24^2=625 the sqr root of 625 is 25

Answer:

Answer is 25

Step-by-step explanation:

[tex]24x^{2} +7x^{2} =25x^{2}[/tex]

Which answer choice best describes 3x ?
terms
constant
coefficient
factor

Answers

It is a term.....................

solve the equation
1.2²(4a-8)=16

Answers

Answer:

I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty

Answer:

Step-by-step explanation:

Examine the power 5^3

Answers

Answer:

5^3 is the same thing as 5 x 5 x 5. It equals 125

125 is the answer hope it helps!

.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?

Answers

$2.50*1.4= $3.50
+$1.99+$1.75= $7.24

$7.24 is your answer


total: 7.24

adding all these up, we get $7.24

she pays:
$3.50 for 1.4lbs of ground beef (1.4 x 2.50)
$1.99 for sauce
$1.75 for spaghetti

HURRY ASAP HELP




Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?

Answers

Step-by-step explanation:

Store A:

6% of 1,200 is 72

72 + 1,200 = 1,272

Thus, store A has a total of 1,272

Store B:

7% of 1,350 is 94.5

94.5 + 1,350 = 1444.5

Thus, Store B has a total of 1444.5

1444.5 - 1,272 = 172.5

Thus, Store A is cheaper.

Answer:

sales tax- rate×original amount

A- 6/100(1200)=72

B- 7/100(1350)=94.5

PLSSSSS HELP (brainliest)
What is the slope of the line that contains these points? x 5 6 7 8 y -5 -6 -7 -8

Answers

Answer:

-6/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use two of the given points to solve.

-6-6/-5-5

-12/-10

-6/5

Best of Luck!

Answer:

-1

Step-by-step explanation:

You have to divide with y being on top and x being on the bottom you then get -1

Which of the following is equivalent to 12x + 6?

Answers

Answer:

6  ( 2 x + 1)

Step-by-step explanation:

6 (2x+1)
I think but im not 100 percent sure

Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?

Answers

Answer: 12 bottles left

Step-by-step explanation:

18-6=12 bottles

Answer:

Johnny will have 7 beer bottles left.

Step-by-step explanation:

Please help!!!
3(x + 8) − 1 = 3x + 4

Answers

Answer:No value

Step-by-step explanation:there are no value solutions that make x a solution

Answer:

19

Step-by-step explanation:

3(x+8)-1=3x+3   3x+24-1=3x+4     3x+23=3x+4       3x+19=3x       -3x+3x=19

x=19

Simplify –36 = (-3) + 2(27 + 3 x 2)
B
с
21
48
108
252

Answers

Answer:

I don't understand the question what is the quarter????

Use intercepts to graph the line described by the equation 2x − 2y = 8.

Answers

So what you wanna do is graph a point at (0, -4) because the y intercept is -5 after you turn this into y intercept form.

Then what you have to do is graph the slope -1 so from the pint you just graph go down one and left one and keep on doing that until you reach the x axis.

The point which is on the x axis is the x intercept


Pls mark brainleist

Answer:

y = x + 4  

Step-by-step explanation:

Slope intercept :  2x - 2y = 8  =  2x     2x  = 8 + 2y   =  2x = 8 +2y   = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2  = 2x / 2 - 8/2  = 2y/2 = y = x-4    

Given f(x) = 9(2 - x), what is the value of f(-3)?

Answers

Answer:
f(-3)=45

Explanation:
To find f(-3), we plug in -3 as x.

f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45

I hope this helps!

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?

Answers

Answer: -3 , 3

Step-by-step explanation:

thank me later;)

can you please help meee ,due at 11!

Answers

1 is B and then 2 is A

Is 23 x 10^8 written in scientific notation

Answers

Answer:

yes,it is written in scientific notation.

Yes, the given number is written in scientific notation.

What is scientific notation?

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Yes, 23 x 10^8 is showing a specified degree of accuracy.

Therefore, it is written in scientific notation.

For more references on scientific notation, click;

https://brainly.com/question/18073768

#SPJ1

please HELP ASAP
What is the missing side, x?

Answers

Answer:

76

Step-by-step explanation:

Could an angle be complementary to itself? If so, what would its measure be

Answers

Answer:

I think it would be 45 degrees

Answer:

A complementary angle would be two different angles that add up to 90 degrees. If you have an angle of 60 degrees, the other side would have to be 30 to be complementary.

Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP

Answers

your anser would be 19

let me now if u have a questions have a nice day

and Thanks :)

The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.

Answers

Answer:

the distance for 7 minutes is 210m

the distance for 10 minutes is 300m

the distance for 14 minutes is 420m

the distance for 29 minutes is 600m

Step-by-step explanation:

d=30(7)

d=210

d=30(10)

d=300

d=30(14)

d=420

d=30(20)

d=600

Jack has $65 to spend on art supplies. He needs to buy an easel that costs $18. He also wants to buy some canvases that cost $11 each
Which of the following inequalities represents the amount of money Jack can spend if he buys n canvases?
A:65 >(line underneath sign)18 + 11n
B:65 > 18 + 11n
С:65 < (line underneath sign) 18 + 11n
D:65 < 18 + 11n

Answers

Answer:

C

Step-by-step explanation:

Jack can spend less than or equal to. So C is correct.

The inequality represents the given situation is 65 ≥ 18 + 11n will be correct thus, option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

Total budget = 65

Total spent = 18 + 11n  where n is the number of canvases.

Total spent ≤ total budget

18 + 11n ≤ 65

Hence "The inequality represents the given situation is 65 ≥ 18 + 11n will be correct".

For more about inequality,

brainly.com/question/20383699

#SPJ5

Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)

Answers

Answer:

B. 4400

Step-by-step explanation:

-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400

Correct option is B.

Mrs. Bell can grade 12 papers in 20 minutes. At this
rate, how many papers can she grade in one hour?

Answers

Answer:

36

Step-by-step explanation:

*I'll mark your answer BRAINLY*

solve the system of equations 10x+12y=380
6x+8y=244​

Answers

x=14 and y=20

(10x14)+(12x20)=380
140+240=380
(6x14)+(8x20)=244
84+160=244

HELP THIS IS DUE IN 15 MINUTE AND I DONT KNOW HOW TO SOLVW IT

Answers

Answer:

infinity

Step-by-step explanation:

they are the same line on a graph so they have infinty solutions

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