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
quester [9]
3 years ago
14

The equation x^2+y^2-4x+2y=b describes a circle. Determine the y-coordinate of the center of the circle.

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The equation is given as:

x^2+y^2-4x+2y=b

Upon solving this equation, we have

x^2-4x+4+y^2+2y+1=b+4+1

which can be written as:

(x-2)^2+(y+1)^2=b+5                   (1)

Thus, the y- coordinate of the center of the circle is y=-1.

Now, comparing the equation (1) with the equation of circle, we have

(x-a)^2+(y-c)^2=r^2

where r is the radius of the circle and (a,c) is the center.

Thus, on comparing, we have

⇒b+5=r^2

Also, it is given that the radius of the circle is 7 units, thus putting r=7 in above equation, we get

⇒b+5=(7)^2

⇒b+5=49

⇒b=44 units

Thus, the value of b is 44 units in the given equation.

irga5000 [103]3 years ago
3 0
X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is:  y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2
You might be interested in
A car is traveling at 70 ​mi/hour. What is the​ car's speed in feet per​ second?
Pepsi [2]
70 miles per hour
5280 feet per mile
5280 x 70 = 369600 feet per hour
3600 seconds per hour
369600 divided by 3600 =
102.67 feet per second (rounded to the nearest hundredth)
3 0
2 years ago
Read 2 more answers
What is the algebraic notation of a figure is Translated 6 units left and 5 units up?
BigorU [14]
The last answer choice is correct
4 0
2 years ago
Read 2 more answers
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
Semenov [28]

Answer:

A

Step-by-step explanation:

A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.

6 0
2 years ago
How are percents,fractions,and riotous related
kotegsom [21]

Answer:

u need decimals for all of them or u at least use them a lot

Step-by-step explanation:

8 0
2 years ago
1/6 + 1/2 equals show steps
Tomtit [17]
1/2=3/6

3/6+1/6=4/6 goodluck


3 0
2 years ago
Other questions:
  • Lan scores 5 out of 60 mark test.what is his score as a percentage to 1 decimal place
    8·1 answer
  • The Jensen family took a road trip in September.the dad fills up the tank,he records the miles on the SUV as 24,033.he pays $83.
    8·1 answer
  • Find the volume of the figure: a prism of volume 15 with a pyramid of the same height cut out.
    13·1 answer
  • The Sweet water High School Project Graduation committee is hosting a dinner-and-dance fundraiser at the Sweet water Community C
    14·2 answers
  • a produce stand sells roasted peanuts for $1.90 per pound. what is the cost,c, of p pounds of peanuts
    14·1 answer
  • If demand for an inventory item is normally distributed with a mean of 150 units per day and standard deviation of 2 units/day,
    6·1 answer
  • JAYDEN MADE SOME CANDLES THAT EACH WEIGHS 1/2 POUND. HE SHIP THEM IN A BOX THAT WEIGHT 6 POUNDS. THE TOTAL WEIGHT OF THE BOX FIL
    6·1 answer
  • In 15–20, write the number positioned at each point.
    15·1 answer
  • a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the p
    11·1 answer
  • Find £83.70 as a percentage of £167.40
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!