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Answer:
centre = (- 2, 3 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 4x - 6y = 12 ( collect x/ y terms )
x² + 4x + y² - 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms)² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 12 + 4 + 9
(x + 2)² + (y - 3)² = 25 ← in standard form
with centre (- 2, 3 ) and r = 
= 5
Answer:
Each pack cost $21
Step-by-step explanation:
$273 ÷ 13 = $21
Hope this helps (✿◠‿◠)
The value of
- m∠PQS = 71°
- m∠PQT = 142°
- m∠TQR = 41°
Given
SQT = (8x₋25) and PQT = (9x₊34)
SQR = 112°
we need to find the x angle and the remaining angles.
we know that QS bisects ∠PQT
⇒ 2(8x₋25)° = (9x₊34)°
(16x ₋ 30)° = (9x₊34)°
16x ₋ 9x = 34 ₋ 30
x = 12°
substitute x value in the given values of angles.
m∠PQS = (8x ₋ 25)° = (8(12)₋25) = 71°
m∠PQT = (9(12)₊34) = 142°°
m∠TQR = 112° ₋ ∠PQS = 112° ₋ 71° = 41°
hence we get the desired angles from the given angles.
Learn more about Angles here:
brainly.com/question/24839702
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Answer:
y=x xy+2
Step-by-step explanation:
