Determine the center and radius of the following circle equation:
x² + y² - 10x + 20y + 89 = 0

Answers

Answer 1

Answer:

The center is ( -5, -10) and the radius = 6.

Step-by-step explanation:

Convert the equation to standard form by completing the square;

x^2 + y^2 - 10x + 20y + 89 = 0

x^2 + y^2 - 10x + 20y  = -89

x^2 - 10x + y^2  + 20y  = -89   Completing the square:

(x + 5)^2 - 25 + (y + 10)^2 - 100 = -89

(x + 5)^2 + (y + 10)^2 = -89  + 125

(x + 5)^2 + (y + 10)^2 =  36

Comparing this to the standard form:

( x - h)^2 + (y - k)^2 = r^2

- we see that the center is ( -5, -10) and the radius = 6.


Related Questions

Simplify the radical expression (3 + √6) (3 - √6)

Answers

Answer:

3

Step-by-step explanation:

(3 + √6) (3 - √6) = 9-3√6+3√6-6 = 9-6 = 3

(pls mark brainliest fam)

Answer:

3

Step-by-step explanation:

use FOIL method. ;)

2x + 3 = x - 4
what is the answer ​

Answers

So the right answer is -7.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

2x+3 = x-4

Step-by-step explanation:

X = -7

2 x -7 + 3 = -11

-7 - 4 = -11

Therefore, X is -7 since both sides are equivalent and equal to -11

Find the value of x
Thank you it needs to be turned in pronto

Answers

Answer:

Step-by-step explanation:

A+C = 180 = A + 74 -> A = 106

B +D = 180 = B +88 -> D = 92

x = 92

i need to know how to do this one!!!!!!!!!!!! its to raise my grade!!!!!!!!!!
Evaluate the radical.

27−−√3

Enter your answer in the box.

Answers

Answer:

27+square root to 3 is 28.73205081

Step-by-step explanation:

Hope I helped

In a 5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the same amount of time. How many total miles will they put on their cars in 28 work days?
A. 1560
B. 2520
C. 2780
D. 2940

ASAPPPPP

Answers

The Answer is A. It’s the only one that makes sense when you do the math. Plz mark brainliest

Answer:

A. 1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

What strategy you used to solve Problem 3.

Answers

Answer: where is it??

Step-by-step explanation:

What is the question

Which inequality is true for x=20

Answers

Answer:

x divided by 4 < x - 12

Step-by-step explanation:

We would need all the inequalities you have to test if they are true <3

briana is right k bye now ! :))

PLEASE HELP ME I REALLY NEED IT

Answers

Answer:

Triangle B

Step-by-step explanation:

you square both of your smallest sides, then you add them together and they should equal your largest side squared.

Answer:

B. 3, 4, 5

Step-by-step explanation:

We solve this using the Pythagorean theorem: a² + b² = c²

Triangle A: 10, 12, 15

10² + 12² = 15²

100 + 144 = 225

244 ≠ 225 ❌

NOT A RIGHT TRIANGLE! ❌

Triangle B: 3, 4, 5

3² + 4² = 5²

9 + 16 = 25

25 = 25 ✅

RIGHT TRIANGLE ✅

Triangle C: 7, 8, 9

7² + 8² = 9²

49 + 64 = 81

113 ≠ 81 ❌

NOT A RIGHT TRIANGLE! ❌

Triangle D: 5, 12, 16

5² + 12² = 16²

25 + 144 = 256

169 ≠ 256 ❌

NOT A RIGHT TRIANGLE! ❌

I'm always happy to help :)

Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?

Please help!

Answers

Answer: 242.7 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The first model has a height of 5 inches and a surface area of 80.9 square inches:

The proportion is : height/ surface area= 5 in / 80.9 in2

For a height of 15 inches

15 in/ x in2

So:

5/80.9 = 15/x

x= 15/ (5/80.9 )

x= 242.7 square inches

Feel free to ask for more if needed or if you did not understand something.  

Two adjacent angles that make a straight line are called a_________

Answers

Hi there!


The answer would be supplementary angles.

Hope this helps!

The angles that make a straight line are called linear pair of angles.

What is linear pair?A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.

Given are two adjacent angles.

Two adjacent angles that make a straight line are called linear pair of angles.

Therefore, the angles that make a straight line are called linear pair of angles.

To solve more questions on angles, visit the link below -

brainly.com/question/15373309

#SPJ2

(07.03 MC)
Milan uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below:
Number on the Cube Number of Times Rolled
1
10
2
8
3
33
4
29
5
11
6
9
Heads Tails
29
71
Using Milan's simulation, what is the probability of rolling a 5 on the number cube and the coin landing on tails?
11
10.000
71
10,000

Answers

Answer:

P(Both) = 781/10000

Solution:

P(T) = 71/100

P(6) = 11/100

P(Both) = P(T) * P(6)

(Both) = 71/100 * 11/100

P(both) = (71 * 11) / 10000

P(Both) = 781/10000

Brainliest please, I need a few more ;D

 Short Answer D

Remark

Thank you for trying to pose the question so clearly.

Givens

T = 71 times

5 being rolled = 11

Substitution and solution.

P(T) = 71/100

P(6) = 11/100

P(Both) = P(T) * P(6)

P(Both) = 71/100 * 11/100

P(both) = (71 * 11) / 10000

P(Both) = 781/10000

Gtftgohcigcigcigvvohvlkk gm

Answers

It’s 34 just find the area of all the individual rectangles or you can find the area of the three unique ones and add them all up

Answer:

its 34 the first person is correct

Need help please owo with all of them

Answers

First one d second c and third one a

Answer:

d, c and a

Step-by-step explanation:

O///O

1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?

Answers

Answer:

The sniper shoot from 870.775 feet vertical distance.

Step-by-step explanation:

Refer the attached figure

Height of victim = AB = 4.5 ft.

Distance between tower and victim BC = 780 feet

The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]

Let DE be x

AB = CE = 4.5 feet

BC =AE = 780 feet

Height of tower = DE+CE=x+4.5

In ΔDAE

[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]

Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet

Hence  the sniper shoot from 870.775 feet vertical distance.

Find the equation (in terms of x) of the line through the points (-3,2) and (4,-12)

Answers

Answer: y= -2x -4

Step-by-step explanation:

-3-4= -7

2-(-12)=14  

14/-7= -2 as the slope.  y=-2x +B

2=-2(-3) +b

2=6 +b     b=-4

y= -2x -4

6) Marcus has a box that is 4 feet long, foot wide, and 2 feet high. What is the volume
of the box?

Answers

Answer: 8 Cubic feet

Step-by-step explanation:

Volume = l x h x w

= 4 * 2 * 1

= 8

Answer:

Step-by-step explanation:

l = 4 ft

w = 1 foot

h = 2 ft

Volume of box = lwh

                        = 4 * 1  * 2

                        = 8  cubic feet

Will give brainliest answer

Answers

Answer:

d =13 cm

r = 6.5 cm

Step-by-step explanation:

The diameter is the distance across the circle, going through the center

d = 13 cm

The radius is 1/2 of the diameter

r = d/2 = 13/2 = 6.5 cm

Answer:

Radius is 6.5

Diameter is 13

Step-by-step explanation:

The diameter is the distance across the circle. The radius is half the distance across the circle.

Is the following transformation rigid motion, dilation, or neither?

(x, y)→(2x, 2y)

Answers

Answer:

rigid motion

Step-by-step explanation:

because is a isometric transformation

9am not sure9

Which transformation preserves only angle measurement? A)dilation B)rotation C)reflection D)translation

Answers

Answer:

A)dilation

Step-by-step explanation:

The transformation preserves only angle measurement is dilation. The  transformation helps in taking up the production of an image that is of the same shape as the main original image.

Ans

A dilation

........,....

will give brainlist if right

Answers

Answer:

10/50 = 20%

20% experimental probability

1/5 experimental probability

The slopes of perpendicular lines are
A. equal
B. negative reciprocals
C. reciprocals
D. opposites

Answers

Answer:

B: Negative Reciprocals.

What is the area of this composite figure?
4 cm
7.5 cm
15,5 cm
18 cm

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 249 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the composite figure can be written as,

Area = ABCG + DEFG =  (4×10.5) + (11.5×18) = 42+207 = 249cm²

Hence, the area of the composite figure is 249 cm².

Learn more about Area:

https://brainly.com/question/1631786

#SPJ1

16. What number is four less than twice itself?

Answers

Answer:

2x-4. When you take a number- x- and add 2 of them -2x- and subtract 4 from it.

what is the answer to 18x-5 < 3(6x-2) ?

Answers

Answer:

No solution

Step-by-step explanation:

18x - 5 < 3(6x - 2)       Distribute the 3 to (6x - 2)

18x - 5 < 18x - 6

-18x        -18x               Subtract 18x from both sides

-5 < -6                         There is no solution because -5 is not less than -6.

If this answer is correct, please make me Brainliest!

Please can’t Gail this

Answers

Answer:

4

Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4

4 I think haven’t done in a while but rise over run is how I learned so -4/-1 simplified is 4

6 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in customers per minute?

Answers

Answer:

3 minutes

Step-by-step explanation:

18 divided by 6 = 3 minutes

Hope this helps :)

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.


Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?


Solve the problem. Multiply 22 and 7 and you 154 and that's your answer


154 miles

Answers

Answer: 154

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22).

Mathematically speaking:

7m x 22d = 154 miles  

Zack walks 154 miles in one month.

Feel free to ask for more if needed or if you did not understand something.

I need help hurry, please!!

Answers

Answer:

C

Step-by-step explanation:

Hope this helped stay safe!

Answer: the answer is C !

Step-by-step explanation:

7)
Which expression is a SUM?

5(2 + 3)

8 x (6 + 3)

5(2) + 2(6 - 3)

(5 + 2) = (2 + 3)

Answers

Answer:

The answer is c.) 5(2)+2(6-3)

Step-by-step explanation:

This is an addition problem, because you are solving for the multiplied numbers added together.

5(2)+ 2(6-3)

10+(12-6)

10+6

= 16                     I hope this help :)

Yoshi has 4 fewer CDs than Miranda, and Ravi has 7 times as many CDs as Yoshi.
If Miranda has n CDs, which expression represents the number of CDs that Ravi has?
O A. n-4
OB. 4 - 7n
O c. 7
D. 71 - 4
O E7(11 - 4)

Answers

Answer:

yoshi=n-4

ravi=7(n-4)

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