Answer:
y = 96 * (1/2)ˣ or
y = (-96)*(-1/2)ˣ
Step-by-step explanation:
y=a(b)ˣ
pass (1 , 48): 48 = a * b¹ ab = 48 ...(1)
pass (3 , 12): 12 = a * b³ ab³ = 12 ...(2)
(2)/(1): ab³/ab = b² = 12/48 = 1/4
b = 1/2 or b = - 1/2
a = 96 or a = -96
First let P(x) = g(x)/f(x) = x^2 - 9 / 2 - x^0.5
The domain of the nominator is any value
The domain of the denominator is
Zeros of the denominator
2-x^0.5 = 0
-x^0.5 = -2
x^0.5 = 2
x = 4
domain of x^0.5 is x >= 0
(0,4) and (4, inf)
The two triangles are similar.
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
