Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
Answer:
C.I = $251.2
Step-by-step explanation:
P = Principal amount = 1600
r = rate of annual interest = 6%
n = period / no. of years = 2.5 years
C.I = (P* (1+r^n))-P
C.I = (1600*(1+0.06)^2.5))-1600
C.I = (1600*(1.06^2.5))-1600
C.I = (1600*1.157)-1600
C.I = 1851.2-1600
C.I = 251.2
Cot(theta) is the one that works best for this problem
In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:
g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
