Write an equation in standard form for:
A circle with center (0,0) passing through (-3,4).

Answers

Answer 1

Answer: First, you use the two points to give you a length, and this will serve as our radius. So,
Length = ((4-0)^2+(-3-0)^2)^1/2
Length = (4^2-3^2)^1/2
Length = (16+9)^1/2
Length = 25^1/2
Length = 5 units.
Then, we can use the co-ordinates to figure out the other parts of the circle's equation, as the equation of a circle follows the pattern:
"X^2+Y^2+2GX+2FY+C=0",
the co-ordinates for the centre is (-G,-F) and another way to find the length of the radius is "(G+F-C)^1/2". So, we find out that G and F are 0, and so far we have
"X^2+Y^2+C=0" We can find C by using the second radius formula and our length. So:
(0+0-C)^1/2=5, and hence the square root of -C is equal to five. By squaring both sides we find that C=-25. The circle's final equation is:
"X^2+Y^2-25=0"

Related Questions

Kara is sorting buttons by lengths for a craft project.The line plot shows the length of each button.If Kara lines up all the 3/4-inche buttons,what would be the total length
A young sumo wrestler decided to go on a diet yo go on a special high protein diet to gain weight rapidly.he started at 90 kilograms and gained weight at a constant rate.after 8 months ,he weighed 138 kilograms
Write a mixed number that is greater than 12/4 and less than 15/4
HELP ME ASP I NEED A GOOD GRADE ON THIS.
A nut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $3.55 per pound of cashew nuts. Over the entire day, 65 pounds of the nut mixture were sold for $189.95. If p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=65 p+3.55n=189.95 Determine the correct description and amount of pounds for almonds and cashew nuts that were sold

Which is NOT a common denominator for 2/3 and 1/2 ?A. 18
B. 12
C. 6
D. 3

Answers

The number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. The number of components of a specific size is expressed as a fraction.

The fractions will have all the numbers 18, 12, and 6 as the common denominator but can not have 3 as a common denominator.

Therefore, the number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

To know more about fractional expression follow

brainly.com/question/78672

#SPJ5

Answer:

D: 3

Step-by-step explanation:

2 is not a factor of three

How do I write a slope intercept form of an equation of a line through given points ?

Answers

you find the slope of the equation using y2-y1/x2-x1 and then you find the y intercept which is the point that crosses the y axis. Then you put that information into the slope intercept equation (y=mx+b m=slope b=y intercept)

at least i think thats what you are asking

First you need the slope, which is easily attainable by the change of x over the change of y

ex. with coordinates (x,y)(X,Y)

m=slope
m= $( rise)/(run)$
= $( change x)/( change of y)$
= $(X-x)/(Y-y)$

Then you will have every thing except the y intercept
(represented by b)

Using the slope-intercept form
and x and y being represented by the x, y values of a co-ordinate

y=mx+b
We can derive b

b= y-mx

Then when we have both m and b
Insert them into the form

ex. if m=-4, b=6

y=-4x+6

Taa daa!
If that helped please let me know
If it REALLY helped please rate as "Brainiest"

Pretty Please Help Me!!!

Answers

Answer:

Signs of the quotients:

The quotient of -125 and 5 is negative.

The quotient of -264 and -12 is positive.

The quotient of 0 and -350 is zero.

The quotient of 276 and -8 is negative.

Step-by-step explanation:

The signs of the quotients are as follows:

-125 / 5 = -25, which is negative.

-264 / -12 = 22, which is positive.

0 / -350 = 0, which is zero.

276 / -8 = -34.5, which is negative.

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Simplify: a^2b^2c^2(2ab+3ac+2bc)

Answers

We can do this like so:

$a^{ 2b^{ 2c^(2) } }$ = $a^(8bc)$

$a^(8bc)$ * 2ab = $2ba^(16bc)$
$a^(8bc)$ * 3ac = $2ca^(16bc)$
$a^(8bc)$ * 2bc = $2bca^(8bc)$

the regular price for a bicycle is 210.19. the sale price is $43.48 less than the regular price. what is the sale price?

Answers

Answer:

$166.71

Step-by-step explanation:

210.19-43.48=166.71

The answer is 109.99 hope this helped u out

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct solutions? (options on photo)