1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svet-max [94.6K]
2 years ago
9

4. Stella says the equation x^2−8x+y^2+2y=5 has a center of (4,−1) and a radius of 5. Is she correct? Why or why not?

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
8 0
<h2>Stella is correct about center and wrong about radius      </h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here equation is

          x²−8x+y²+2y=5

Changing in to (x-h)²+(y-k)² = r² form

           x²−8x + 16 - 16 +y²+2y+1 - 1=5  

           (x-4)² - 16 + (y+1)² -1 = 5

           (x-4)²  + (y+1)²  = 22

           (x-4)²  + (y+1)²  = 4.69²

           Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius            

You might be interested in
a rectangle with a length of 9 inches and a width of 8 inches is divided in to squares of with sides of length 1 inch.One third
Mice21 [21]

Answer:

42

Step-by-step explanation:

  rectangle =  8x9 = 72

1/3 0f 72 =  24      (72-24=  48)

1/8 of 48 =6   48-6 =42

red-----24

green-----6

unpainted-----42

24+6+42+=72

6 0
3 years ago
A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after anothe
DedPeter [7]

The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

<h3>#SPJ1</h3>


7 0
1 year ago
(0.7) exponent 2 please help!
ratelena [41]
The answer is 0.49
0.7 x 0.7 = 0.7^2
7 0
2 years ago
Texas chic. Next question
Maksim231197 [3]
When u have an outlier, u want to use the median.....in this case, the median is 4
4 0
3 years ago
There are 22 animals in the barn. Some are geese and some are goats. There are 82 legs in all. How many of each animal are there
Free_Kalibri [48]

Let the number of geese be x.

Then number of goats is 22-x.

A goose has 2 legs, and a goat has 4.

There are a total of 82 legs.

So,

2x + 4(22-x) = 82

2x + 88 - 4x = 82

-2x = -6

x = 3

There are 3 geese and (22-3=) 19 goats.

Please mark Brainliest if this helps and feel free to ask doubts!

7 0
3 years ago
Other questions:
  • Simplify.<br><br> 6^2+3^2????
    11·2 answers
  • Gcf of 28 and84 and 65 39 and 75 and 45
    15·1 answer
  • Write an equation of line in standard form with a slope of 3 through the point (9,-4)
    15·1 answer
  • What number is between 0 and 1/3
    12·1 answer
  • The sum of b and 11
    5·1 answer
  • Factorise 4a²_4ab+b²<br>​
    10·1 answer
  • Alex rode his bike 25 kilometers. About how many miles did Alex ride his bike?
    5·1 answer
  • BD=16 and ÁT is the<br> perpendicular bisector of BD. Y=?
    11·1 answer
  • The nth term of a sequence is 3n +2 work out the first 3 terms of the sequence
    12·2 answers
  • g An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!