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
jolli1 [7]
3 years ago
12

Write the following in both standard and general form

Mathematics
1 answer:
nalin [4]3 years ago
6 0

The circle equation in standard form: (x-3)^{2}+(y+2)^{2}=4^{2}

The circle equation in general form: x^{2}+y^{2}-6 x+4 y-3=0

<u>Solution:</u>

Given that, center of a circle is (3, -2) and radius = 4.

We have to find the standard and general form of the circle.

<em><u>Finding standard form:</u></em>

The standard form of circle is (x-h)^{2}+(y-k)^{2}=r^{2}

where (h, k) is center and r is radius.

So the standard form of circle is

\begin{array}{l}{\left.(x-3)^{2}+(y-(-2))\right)^{2}=4^{2}} \\\\ {\rightarrow(x-3)^{2}+(y+2)^{2}=4^{2}}\end{array}

<em><u>Finding general form:</u></em>

Now, we just have to expand the standard form to get the general form.

\begin{array}{l}{\text { So, }(x-3)^{2}+(y+2)^{2}=4^{2}} \\\\ {\rightarrow x^{2}+9-6 x+y^{2}+4+4 y=16} \\\\ {\rightarrow x^{2}+y^{2}-6 x+4 y+13-16=0} \\\\ {\rightarrow x^{2}+y^{2}-6 x+4 y-3=0}\end{array}

Hence the standard and general form are found out

You might be interested in
The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of
Darya [45]

Answer:

3.43%

Step-by-step explanation:

362-350=12

12:350*100 =

(12*100):350 =

1200:350 = 3.43

3 0
3 years ago
The length of a rectangle is (6x2 + 3x - 2) units, and its width is (x3 - 2x + 5) units. Part A: What is the area of the rectang
strojnjashka [21]
<span>Part A: Area = length * width = (6x^2 + 3x - 2) * (x^3 - 2x + 5) Multiply it out and simplify.

part B: </span><span>Take the first term 6x^2 and multiply each of the term x^3, -2x & 5. Then take 3x and multiply each of the term x^3, -2x & 5. Do the same with -2. Then add like terms and simplify.</span>
6 0
3 years ago
If a cylinder holds a volume of 100 cm3, and is 30 cm tall, which is the area of the bottom of the cylinder?
Vesna [10]

=πr2h


Area of circle
=πr2

=V/h
=100/30
≈3.33cm
4 0
3 years ago
The left and right page numbers on an
liubo4ka [24]
The pages would be 166 and 167
7 0
4 years ago
What is the slope of the line that passes through the points (−3, 1) and (1, −5) ?
kari74 [83]

Answer:

m =  \frac{ - 5  - 1}{1 + 3}  =  -  \frac{6}{4}  = \color{green} \boxed{  -  \frac{3}{2} }

8 0
3 years ago
Other questions:
  • 28 + 8x = 8(x + 3) + 2<br><br>What is x? ​
    5·2 answers
  • Use the associative property to identify which expression is equal to (10)(5x)(7)
    13·1 answer
  • Is this the right answer....???????
    11·1 answer
  • 1a. 182 Freshmen were surveyed on whether they participate in a sport. 110 said yes, 40 boys said no, 90 girls were in the surve
    10·1 answer
  • Can someone answer part B for me? Thank you and will give brainliest.
    6·1 answer
  • Are the triangles similar? If so, what is the scale factor which converts RPQ to VAQ
    15·1 answer
  • What is the value of f?
    10·1 answer
  • 3) What operation do you need to use when you factor out the greatest
    13·1 answer
  • GIVING BRAINIEST!!!!!!!!!!!!!!
    13·1 answer
  • What fractions are equivalent to these fractions<br> 4/5=<br> 3/8=<br> 1/6=
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!