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:
The bus would be 36 times late in 400 times of when Fred takes the bus
Step-by-step explanation:
Given that the probability of being the bus late is 0.09.
In order to find the number of times the bus will be late will be calculated by multiplying the total number of observations by probability.
It is also given that the total number of days he waits for bus is 400 times.
So,
The bus will be:
Hence,
The bus would be 36 times late in 400 times of when Fred takes the bus
Answer: x - 5
Step-by-step explanation:
Since, the area of the rectangle =
Length of the rectangle = x+5
Let the width of the rectangle = b
Thus, the area of the rectangle =
⇒
⇒
⇒
Therefore, the expression that shows the width of the rectangle = x-5
Answer:
Step-by-step explanation:
1) If is needed to cover
than we need 3 more:
: