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
BabaBlast [244]
3 years ago
8

What is the equation of the circle?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + (\sqrt{2} )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = \sqrt{3} , then

x² + y² = (\sqrt{3} )² , that is

x² + y² = 3

You might be interested in
What is the simplified form of x minus 2 over x squared plus x minus 6divided byx squared plus 5x plus 4 over x plus 4?
tatyana61 [14]

Answer:

\dfrac{1}{x^2+4x+3}

Step-by-step explanation:

You have asked for the simpilfied form of ...

x-\dfrac{2}{x^2}+x-\dfrac{6}{x^2}+5x+\dfrac{4}{x}+4

That would be ...

\dfrac{7x^3+4x^2+4x-4}{x^2}

We suspect that's not what you meant. Parentheses are required for grouping when you write math expressions in text form. They work best using math symbols instead of words. We think you mean

... ((x -2)/(x^2 +x -6))/((x^2 +5x +4)/(x +4))

_____

Maybe you want to simplify ...

\displaystyle\frac{\left(\frac{x-2}{x^2+x-6}\right)}{\left(\frac{x^2+5x+4}{x+4}\right)}=\frac{(x-2)(x+4)}{(x-2)(x+3)(x+4)(x+1)}\\\\=\frac{1}{(x+1)(x+3)}=\frac{1}{x^2+4x+3}

_____

<em>Comment on simplifying rational expressions</em>

Division of fractions works the same whether you're working with numbers or polynomials (or anything else). Dividing by something is the same as multiplying by its inverse (reciprocal).

(a/b)/(c/d) = (a/b)·(d/c)

I learned this as "invert and multiply". I've recently seen it referred to as "copy dot flip", meaning you copy the numerator, use a dot symbol to indicate multipication, then flip the denominator (make its reciprocal) to become what you're multiplying by.

8 0
3 years ago
8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but
Zielflug [23.3K]

Answer/Step-by-step explanation:

Note:

<u>Graphing From An Equation: </u>

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

<u>Solutions and Equation:</u>

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 }       3(0) - 4y = 12

                       -4y = 12                                 (0, -3 )

                       -4y/-4 = 12/-4

                                y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0}                  3x-4(0) =12

                                3x = 12              (4,0)

                                 3x/3 = 12/3

                                        x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<u><em>~Lenvy~</em></u>

5 0
2 years ago
Answer please da will help
Mkey [24]

log_10 (600) is between 2 and 3

2,77815

8 0
1 year ago
30Pts PLZ HELP
nlexa [21]
X hope that I helped you
7 0
3 years ago
Read 2 more answers
Marco's polo team has a budget for new uniforms of $250. If there are 12 members of the team, what can Marco spend on uniforms.
Anit [1.1K]
Your answer is going to be A
7 0
3 years ago
Other questions:
  • Joaquin goes out for a long walk. He walks 5/12 of a mile and then sits down to take a rest. Then he walks 1/3 of a mile. How fa
    7·1 answer
  • 243.875 to ne rest tenth, hundredth, ten and hundred
    11·1 answer
  • Multiply the following numbers. Reduce the answer to lowest terms. 3 1/4 · 1 1/3
    5·1 answer
  • NUMBER SENSE: Fort Knox holds 147,3000,00 ounces of gold. Write the number that is one million more.
    13·2 answers
  • 1) Let f(x)=6x+6/x. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relat
    9·1 answer
  • The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
    12·1 answer
  • Round to the place of
    15·1 answer
  • Coral bought some stock at $25 a share the stock increased to 1 1/2 Times its value how much is that stock per-share
    15·1 answer
  • I need help asap. Math Writing Expressions.
    14·1 answer
  • Need help on this question
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!