Determine the center and radius of the following circle equation: x² + y2 + 2x – 2y – 62 = 0​

Answers

Answer 1

Step-by-step explanation:

x²+2x+y²-2y=62

using completing the square

x²+2x+1+y²-2y+1=62+1+1

(x+1)²+(y-1)²=64

(x+1)²+(y-1)²=8²

(x-a)²+(y-b)²=r²

by comparison

(a,b)=(-1,1)

a,b is the center of the circle

r=8unit

r is the radius


Related Questions

Help Find AB please explain

Answers

Answer:

[tex] AB=2\sqrt{29}[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Ed's birthday is less than 16 days
away. Ann writes the inequality
d< 16, where d equals the number
of days, to represent this. Is Ann
correct? Explain.

Answers

Answer: Yes

Step-by-step explanation:

From the question, we are informed that Ed's birthday is less than 16 days

away and that Ann writes the inequality

d< 16, where d equals the number

of days, to represent this.

The inequality d < 16 is correct as it explains that the number of days left is less than 16.

Answer:

Ann is correct because d is less than 16.

Step-by-step explanation:

Ed's Birthday is *less than 16* days away so d<16

Which of the following tables of values could not represent a function?
A)
[tex]\left[\begin{array}{ccc}1&13\\4&22\\7&31\\10&40\end{array}\right][/tex]
B)
[tex]\left[\begin{array}{ccc}6&1\\12&1\\19&1\\23&1\end{array}\right][/tex]

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) is not a function

Step-by-step explanation:

For an table to be a function the y axis all have to be different from each other but on B it is not, it is only 1, therefore B is not a function

Find the area of the parallelogram. Round to the nearest hundredth if necessary.

Answers

Answer:

48

Step-by-step explanation:

area of a parrelogram formula:

A=bh

A=(8)(6)

A=48

need help ASAP !!!

[tex] \sqrt{587 \times 587} [/tex]

Answers

Hello, I Am BrotherEye

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers. 587

Step-by-step explanation:

Look Above

Best of Luck

~

BrotherEye

This is hard and I need help

Answers

I think it is 40x16=640

Answer = 64:0

10cm
What is the height of the triangle is the area is 40 ?

Answers

Answer:

8 cm

Hope that helps!

Step-by-step explanation:

What value will make the equation true?
-2.1 - ?= -1
A 3.6
B
0.6
C -0.6
D
-3.6

Answers

Answer:

the answer is -1

Step-by-step explanation:

-2.1 - (-1) = -1.1

PLEASE HELP, DUE IN 5 MIN I NEED HELP PLS PLS PLS!!!!!!!!!

Answers

Answer:

it would be: A.

Step-by-step explanation:

proportions in triangles. solve for x

Answers

x = 4



x / 3 = x + 4 / x + 2

Cross multiply
x * x + 2 = 3 * x + 4

Distribute
x^2 + 2x = 3x + 12

Set equal to zero
x^2 - x - 12 = 0

Factor
(x - 4)(x +3) = 0

Solve
x = 4 or x = -3

Length can’t be negative so x = 4

Check:
x / 3 = x + 4 / x + 2
4 / 3 = 4 + 4 / 4 + 2
4 / 3 = 8 / 6
4 / 3 = 4 / 3 :)

How can i solve -7(-8+10-5)

Answers

Answer:

11

Step-by-step explanation:

PEMDAS

Answer: 56-70+35 hope this helps

Step-by-step explanation: -7x-8 (neg x neg = positive), -7x10, -7x-5

y- 4/5=1
what does y equal to?

Answers

Answer:

y=1.8

Step-by-step explanation:

first change the fraction into a decimal.

4/5 =0.8

plus the 0.8 to both sides

y=1.8

Answer:

[tex]y - \frac{4}{5} + \frac{4}{5} = 1 + \frac{4}{5} \\ y = \frac{5 + 4}{5 } \\ y = \frac{9}{5} [/tex]

HELP!! i will give brainliest!!

Answers

22 kilometers :) hope that helped

Which set of values could be the side lengths of a 30-60-90 triangle?

Answers

Answer:

A

Step-by-step explanation:

I think you are in geometry I learned this a little back...

It's hard to explain but basically one side is just (n) another is (n(square root sign))and another is (2n.)    

So the answer Is a because in this case (n) is 4  

What is the rate of change of the function represented by the table?

x
y
1
5
2
5
3
5
4
5
0
1
4
5

Answers

Answer:

its A

Step-by-step explanation:

Trust me

Answer:

0

Step-by-step explanation:

I did it on edge

Find the area of a triangle with a base of 14 ft and a
height of 11 ft. A = bh/2)

Answers

Answer:

77

Step-by-step explanation:

help pls pls pls pls

Answers

Answer:

image is blurry i cant see it

Step-by-step explanation:

send another one plz

question : Jody got an 80% on a test that had 60 total points on it. How many points did Jody get correct?

help :) ( im not so good with math ) .

Answers

Answer:

48

Step-by-step explanation:

Please help an explain work
I think it’s c?

Answers

the answer is b) i think

Answer:

B. f(x) = -x + 2

Step-by-step explanation:

First, you find the point on the y-axis which is (0,2) in this problem.

This will be your b in y = mx+ b

Then, you'll find how many blocks you are moving or rise over run. Which is -1/1 or -1.

This will be your m in y = mx + b

But we don't write the 1 so it will just be -x

Now add all your numbers in the standered form (y = mx + b) to get y = -x + 2 or f(x) = -x + 2

help me please. i will give brainliest

Answers

Answer: 11.7

Explanation:

-1.7-(-13.4)=11.7

5x + x² – 2x + x² =
Please help !

Answers

Answer:

Step-by-step explanation:

[tex]5x+x^2-2x+x^2\\ \\ 2x^2+3x\ or\ x(2x+3)[/tex]

Answer:

5

Step-by-step explanation:

What is the surface area of the cylinder with height 7 mi and radius 4 mi? Round to the nearest thousandth

Answers

Answer:

Refer to the attached file

Hope it helps..

Have a great day :P

Oceanside bike rental shop charges seventeen dollars plus seven dollars an hour for renting a bike. Jason paid eighty dollars to rent a bike. How many hours did he have to pay to have the bike checked out?

Answers

Answer:This is a linear equation.

y = mx+b

y is the total cost.

The slope m is the rate: that's 9 dollars per hour.

x is the number of hours.

b is the initial value: that's 16 dollars.

y = 9x+16

The problem states that the cost was 79 dollars.

Substitute that for y and solve for x.

79 = 9x+16

63 = 9x

x = 7 hour

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

80-17=63

63/7  = 9

7 times 9 = 63

please answer this ASAP

x-6/9=-5

Answers

Answer:

x = -13/3

Step-by-step explanation:

Given: x-6/9 = -5

You want to isolate the variable (x).

To make this easier, turn -5 into -45/9 (common denominator w/ -6/9)

Then, add -6/9 to -45/9.

x = -39/9

Simplify.

x = -13/3

help its for a friend
1) Which of the following is true about circles
2 radius's for a circle is equal to it's diameter

1 diameter of a circle is equal to it's circumference

pi is a ratio of the distance around a circle to the distance across a circle

Circumference is distance across a circle

Circumference for a circle is found by multiplying pi by diameter

Circumference and Area of a circle are the same thing
THERE CAN BE MORE THAN ONE PLS HELP PLS PLS I REALLY NEED HELP​

Answers

Answer:

Yes

No

Yes

No

Yes

No

Help me please find the answer

Answers

I’m pretty sure k=59 degrees since the area of a triangle is 180 so you just subtract the angles you already have to find the other one

Brooke multiplied 3 and 9 and got 17 Brooke knows her answer is wrong because she know it should be approximately

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

If Brooke multiplied 3 by 9 and obtained 17 ; then Brooke is definitely wrong

3 * 9 = exactly 27

However, for approximation sake ;

We could round 9 to 10 ; and multiply 10 by 3

10 * 3 = 30 ; this gives an approximate solution for the multiplication problem ;

3 * 9 = exactly 27 or approximately 30

Mrs. Carver wants to add wall–to–wall tile to the science lab. If she plots the layout of the science lab on a graph with the vertices A(–7, 8), B(3, 8), C(3, –2), and D(–7, –2), what is the area of the science lab?

Answers

Answer:

o dpB

Step-by-step explanation:

A and b are positive integers and a-b=2 ... Evaluate the following:
27^1/3 b / 9^1/2 a
There is an image attached of the problem
PLEASE TYPE ANSWER AND SHOW WORK

Answers

The value of the given expression will be 1/9.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

[tex]\rm \rightarrow \dfrac{(27)^{b/3}}{(9)^{a/2}}[/tex]

Simplify the expression, then we have

⇒ (∛27)ᵇ / (√9)ᵃ

⇒ 3ᵇ / 3ᵃ

⇒ 1/3ᵃ⁻ᵇ

⇒ 1/3²

⇒ 1/9

The value of the given expression will be 1/9.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A rectangular prism has length of 2 units, a width of 1 1/2 units, and a hight of 3 1/2 units. What is the volume of the prism?

Answers

Answer:

v = 10.5

Step-by-step explanation:

v = l× w× h

v = 2 × 1 1/2 × 3 1/2

good luck, i hope this helps :)

Answer:

10 1/2

Step-by-step explanation:

V = lwh

l = 2

w = 1 1/2 or 1.5

h = 3 1/2 or 3.5

2 x 1.5 x 3.5

10.5 or 10 1/2

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