All categories

3 years ago

If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?

1 answer:

8 0

If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:

(x,y)=((6+2)/2, (3+1)/2)=(4,2)

Now we need to find the radius....the diameter is:

d^2=(6-2)^2+(3-1)^2

d^2=16+4

d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so

r^2=5

The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:

(h,k)=(4,2) from earlier so:

(x-4)^2+(y-2)^2=5

You might be interested in

The Pythagorean Identity states that: (sin x)2 + (COS x)2 = 1 Given sin 0 = 3/5, find cos 0. cos 0= ?/? Simplify the fraction. E

Alex787 [66]

Answer:

cosθ = 4/5

Step-by-step explanation:

7 0

2 years ago

How many roots does this has?<br>x^2+(2√5x)+2x=-10<br>find Discriminant

Alexxandr [17]

Given:

The equation is

$x^2+(2\sqrt{5})+2x=-10$

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

$x^2+(2\sqrt{5})x+2x=-10$

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

$x^2+(2\sqrt{5}+2)x+10=0$

Here, $a=1, b=(2\sqrt{5}+2), c=10$ .

Discriminant of the given equation is

$D=b^2-4ac$

$D=(2\sqrt{5}+2)^2-4(1)(10)$

$D=20+8\sqrt{5}+4-40$

$D=8\sqrt{5}-16$

$D\approx 1.89>0$

Since discriminant is $8\sqrt{5}-16\approx 1.89$ , which is greater than 0, therefore, the given equation has two distinct real roots.

3 0

3 years ago

The equation | - 251 = 3 can be used to determine the maximum and minimum

nalin [4]

Answer:

thanks for the free answer

Step-by-step explanation:sucks to suck

8 0

3 years ago

4 + 3x = 3х + 5<br> 4 = 5

Inessa [10]

Answer:

4≠5

There is no solution

Step-by-step explanation:

7 0

3 years ago

Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 doll

bogdanovich [222]

Using a system of equations, the meaning of point R is given as follows:

A number of books and their cost where both subscriptions cost the same.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable. In a graph, the solution to the system is the intersection point of the two equations.

In this problem, the point R is the point in which:

3y = 96.

That is, the point in which the prices are equal, hence:

A number of books and their cost where both subscriptions cost the same.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0

2 years ago