Answer:
(x + 1)² + (y + 3)² = 16
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 + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = 
= 4
Answer: 33 televisions in 1 hour
Step-by-step explanation:
99/3=33
The answer is 12 J.
The kinetic energy (KE) of an object is expressed as the product of half of the mass (m) of the object and the square of its velocity (v²):
The unit of the kinetic energy is Joules (J = kg · (m/s)²).
It is given:
m = 1.5 kg
v = 4 m/s
It is unknown:
KE = ?
Thus:
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Therefore, the kinetic energy of the bird is 12J.
A) The formula would be C = 89x + 24.
b) To find the cost of 2 tuxes, just plug in 2 for x and you get 202.
c) For the 4098th tux, plug in 4098 for x and you get $364,746.
d) The variable cost is the number of tuxes.
The fixed cost is the $24 down. The marginal cost is $89, the amount that it changes for each tux.
Each value increases by 37
The explicit formula is:
a(n)=37+37(n-1)
