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Schach [20]
3 years ago
15

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
<span>5x^2 + 5y^2 + 10x − y = 0 it is the same of </span>
<span>x^2 + y^2 + 2x −1/5y = 0
and then </span>
(x + 1)^2 - 1+  (<span><span>y−1/10)^2  -1/100=0
</span> </span>(x + 1)^2 +  (<span>y −1/10)^2  =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10
</span>
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Question 5 (12 points)
Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

    let (2, 1) = (x_2, y_2)

 \implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}

b)  let (-1, 3) = (x_1,y_1)

    let (4, 1) = (x_2, y_2)

\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}

c)  let (-1, 3) = (x_1,y_1)

    let (3, 3) = (x_2, y_2)

\implies \sqrt{(3+1)^2+(3-3)^2} =4

4 0
2 years ago
Read 2 more answers
Please help asap!!!!!!!!!!!!!!
sasho [114]

Answer:

Measure with a ruler. Ok

6 0
3 years ago
Which is a factor of 10x - 20x2 - 2x + 4?
sveta [45]
Add like terms and then simplify
7 0
3 years ago
Find the value of x when the area of a triangle is 22 in2 and has a base of 3x-1 and height of x.
Virty [35]
The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0
5 0
3 years ago
I need the answer to the problem
Nookie1986 [14]

4/9 x 7/4 = 28/36 = 7/9

Answer is 7/9

7 0
3 years ago
Read 2 more answers
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