Answer:
x={(y+1) / 5}²
Step-by-step explanation:
y = 5√x +3 -4
⇒y = 5√x -1
add 1 on both sides
⇒ y + 1 = 5√x
divide both sides by 5
⇒(y+1) / 5 = (5√x) /5
⇒(y+1) / 5 = √x
now, square both sides
⇒{(y+1) / 5}² = (√x)²
∴{(y+1) / 5}² = x
1 to left gives (x -1)^2
vertical stretch makes it 5(x - 1)^2
reflection in axis changes the sign to - :-
equation of new function is f(x) = -5(x - 1)^2
Answer:
10.69
Step-by-step explanation:
We must first know that the angle of refraction is given by the following equation:
n_water * sin (A_water) = n_air * sin (A_air)
where n is the refractive index, for water it is 1.33 and for air it is 1.
The angle (A) in the air is 22.8 °, and that of the water is unknown.
Replacing these values we have to:
1.33 * sin (A_water) = 1 * 0.387
sin (A_water) = 1 * 0.387 / 1.33
A_water = arc sin (0.2907) = 16.9 °
now for the tank depth:
h = D / tan (A_water)
D = 3.25
Replacing
h = 3.25 / tan 16.9 °
h = 10.69
Therefore the depth is 10.69 meters.
-1,1 I already told u, nut
Answer:
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Step-by-step explanation:
The graph of the linear function f(x) = ax + b is a line with slope m = a and y-intercept at (0, b).
Characteristics of the Linear Function: Domain: the set of all real numbers.
Range: the set of all real numbers.
