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
Fantom [35]
2 years ago
9

The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W

hat is the length of the radius of the circle? ( Please Do Not Repost Someone Else's Answers On Brainly Or Any Other Websites Please If So You'll Be Reported). Will Mark Brainliest if answered correctly and please be honest . ​

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
7 0

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

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

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

  • center = (-2, 6)
  • radius = √36 = 6
You might be interested in
Can someone check my answer if I am incorrect please answer this question please answer this question correctly and please show
Elena-2011 [213]

Answer:

2 + (-7) = (-5)

Step-by-step explanation:

Correct problem and method of solving, just miscounted!

It should be + (-7) instead of + (-6).

This also changes the answer to (-5) instead of (-4).

4 0
3 years ago
One-half the sum of x,y, and z
BabaBlast [244]
The keyword is "sum" which tells you x, y, and z are being added. One half of the sum means that the sum of the three numbers is going to be divided by 2.

x + y + z
------------
2
3 0
3 years ago
1.
butalik [34]

The answers to each of the given problems are;

1) Sum of two smallest integers  = 23

2) 3x + 6

3) 7.5 m/s²

<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

a = 7.5 m/s²

Read more about sum of integers at; brainly.com/question/17695139

#SPJ1

7 0
1 year ago
How to work out the volume of a cone?
Romashka [77]
Volume of a cone = πr²h/3. π=3.14 R=radius. hope this helps you :)
4 0
3 years ago
4 more than the quotient of 7 and m
tangare [24]

Answer:

4+ 7/m

Step-by-step explanation:

there might be parentheses but this is what the expression  would look like

3 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate f(-7). f(x) = 3x62
    8·1 answer
  • Adrian went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each f
    5·1 answer
  • Diego has 90 songs on his playlist. How may songs are there for each genre
    6·2 answers
  • The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
    13·2 answers
  • Generate equivalent fractions for 1/2. Rename this fraction 5 or more times.
    13·1 answer
  • Chapter 6 Introduction to Variables and Evaluating Expression
    7·1 answer
  • 15 4/7 - 11 ⅖=???????
    6·1 answer
  • Factories:<br><img src="https://tex.z-dn.net/?f=xy%20-%205y%20%2B%202x%20-%2010" id="TexFormula1" title="xy - 5y + 2x - 10" alt=
    15·1 answer
  • PLEASE HELP ME OUT !!!
    6·2 answers
  • Which of the following is equivalent to the radical expression below when
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!