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Shkiper50 [21]
3 years ago
11

Find the equation for the circle with a diameter whose endpoints are (5,-3) and (2,1).

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

Step-by-step explanation:

To write an equation for a circle, we need to find the center and the radius.  We need to find the distance between the two endpoints to find the radius.  To do that, use the distance formula:

d = √(2 - 5)² + (1 + 3)²

√(-3)² + (4)²

√9 + 16 = √25 = 5

If the diameter is 5, the radius is 2.5

Now we need to find the center/midpoint.  Use the midpoint formula:

(5 + 2)/2, (-3 + 1)/2

7/2, -2/2

(3.5, -1)

Now that we have the center and the radius, we can make our equation.  Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²

(x - 3.5)² + (y + 1)² = 6.25

Hope this helps

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3 years ago
What is 18 divided by 2/3?
pishuonlain [190]
Division is basically
x divided by y=x/y so
18 divided by 2/3=\frac{18}{ \frac{2}{3} }
we want the bottom number to be =1 so we multiply 2/3 by 3/2 to make it 1 (or 6/6=1), but we have to multiply the top number by 3/2 also so that we don't change the fraction and make our work useless so

\frac{18}{ \frac{2}{3} } times  \frac{ \frac{3}{2} }{ \frac{3}{2} } = \frac{ \frac{54}{2} }{ \frac{6}{6} }= \frac{27}{1}=27

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6 0
3 years ago
Read 2 more answers
Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14
Stels [109]

Answer:

The solution of the system is the ordered pair (-13,-4)

Step-by-step explanation:

we have

-2a+3b=14 -----> equation A

a-4b=3 ----> equation B

Solve the system by elimination

Multiply by 2 both sides equation B

2(a-4b)=2(3)

2a-8b=6 ----> equation C

Adds equation A and equation C

-2a+3b=14\\2a-8b=6\\-------\\3b-8b=14+6\\-5b=20\\b=-4

<em>Find the value of a</em>

substitute the value of b in any equation (i take equation B)

a-4(-4)=3

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therefore

The solution of the system is the ordered pair (-13,-4)

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D
erik [133]
2^3
——
3^3



............
8 0
2 years ago
Last year, Ravi opened an investment account with $5400 . At the end of the year, the amount in the account had decreased by 24.
Nastasia [14]
1-(24.5/100)=0.755 which will be our multiplier
5400 x 0.755 = $4077 left in his account
5400-4077=$1323 decrease
3 0
3 years ago
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