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Rzqust [24]
3 years ago
13

I need helpppppppppppp

Mathematics
1 answer:
finlep [7]3 years ago
8 0
36 will be the answer for x
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Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of th
balandron [24]
The answer:

the main formula of the circle's equation is 
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius

if a point A(x', y') passes through the circle, so the equation of the circle can be written as 
(x'-a)²+ (y'-b)² = R², and that is  a main formula.


<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²

and we know that R= OA = OC= OB, 
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies

x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)²  so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
 -5= -2x -4y, when x = -3 /2   we obtain y = 2

the center is C(-3/2, 2)
7 0
3 years ago
Determine the value of x in this polygon.
OLEGan [10]

Answer:

<h2>x = 23.5</h2>

Step-by-step explanation:

It's the trapezoid.

We know: the sum of the angle measures at one leg of a trapezoid is 180°.

Therefore we have the equation:

(x+12.5)+(6x+3)=180    <em>combine like terms</em>

(x+6x)+(12.5+3)=180

7x+15.5=180         <em>subtract 15.5 from both sides</em>

7x=164.5   <em>divide both sides by 7</em>

x=23.5

3 0
3 years ago
M∠ABD = 6x-1, m∠DBC = 11x+7, and m∠ABC = 148°, find x, m∠ABD and m∠DBC.
Bad White [126]

Answer:

JSKEJEISKJEJEJEJSJSJEJ

Step-by-step explanation:

7RHB3V BEJEJBEB 4

3 0
3 years ago
Destini has $64 to spend on a new game. If she spends 5/8 of her money on the
Mamont248 [21]
I’m not sure try using fraction calculator it helps me a lot I’m sorry I didn’t help
8 0
3 years ago
Read 2 more answers
Fins the product of (3s+2t)(3s-3t)
erastovalidia [21]
Your answer is 9s^2-9st+6st-6t^2
6 0
4 years ago
Read 2 more answers
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