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
Amanda [17]
2 years ago
6

Find the center and radius of the circle with the equation. Please show work!

Mathematics
1 answer:
mina [271]2 years ago
3 0

Answer:

<h2>(1, -2)</h2>

Step-by-step explanation:

The equation of a circle:

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

(h, k) - center

r - radius

We have:

x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)

You might be interested in
Add 5x+4y;3x-7y;-4x+8y​
viktelen [127]

The answer is 4x + 5y.

Here, what needs to be done is to combine like terms.

  • 5x + 4y + 3x - 7y - 4x + 8y
  • 5x + 3x - 4x + 4y + 8y - 7y
  • 4x + 5y
4 0
2 years ago
PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1
marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

,

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}

Comparing the given line with the form above:

y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}

The y-intercept of L is at (0,5), therefore:

y-intercept,b=5

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}

The equation of line L is:

y=-3x+5

7 0
1 year ago
Help me please. Im giving 20 points.
borishaifa [10]

Answer:

Isn't it 54? im not really sure

Step-by-step explanation:

6x9 = 54

4 0
3 years ago
Read 2 more answers
Simplify (4x– 4)– 3<br><br><br> A. -1/2x^4<br><br> B. -8x^12<br><br> C. -64x^9<br><br> D. x^12/64
marysya [2.9K]
Use:(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\\left(4x^{-4}\right)^{-3}=4^{-3}(x^{-4})^{-3}=\dfrac{1}{4^3}x^{-4\cdot(-3)}\\\\=\dfrac{1}{64}x^{12}=\boxed{\frac{x^{12}}{64}}

Answer: D. x^12/64
3 0
3 years ago
Read 2 more answers
If 100 percent is 480 what is 10 percent?
LenaWriter [7]

Answer:

48

Step-by-step explanation:

10% of 480 = 10/100 × 480

= 48

7 0
3 years ago
Other questions:
  • 8c^3 d^2 divided 4cd^2
    15·1 answer
  • Evaluate 8x - 3 + y If x = 2 and y = 1
    10·2 answers
  • What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?
    8·2 answers
  • John used 3.75 gallons of paint to cover 431.25 square feet of wall. How much wall did he cover with each gallon?
    5·1 answer
  • Help me PLZZZZ ITSS EASSYYYYYY
    12·1 answer
  • Help fast please need answer quick​
    12·1 answer
  • Identify the true and false statements about survey and poll questions. True Statement(s) Drag appropriate answer(s) here Even i
    11·1 answer
  • A Cylinder has a radius of 10 feet and a height of 11.4 feet what is the approximate volume of the cylinder?
    15·2 answers
  • What is <br><br> 4.2 = c/8<br><br> And it would be a lot helpful
    11·2 answers
  • Please help out with this geometry homework I was assigned. And what formula do I use?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!