Answer:
Option 4: 0
Step-by-step explanation:
Given the function, f(x) = 3x, and the domain. {-3, 1, 4}:
Substitute the values of each domain as inputs into the function:
<h3>x = -3</h3>
f(-3) = 3(-3)
f(-3) = -9
<h3>x = 1</h3>
f( 1 ) = 3( 1 )
f( 1 ) = 3
<h3>x = 4</h3>
f(4) = 3(4)
f(4) = 12
Therefore, the correct answer is option 4) 0, because there is no input value that provides an output of 0. You were only given three domain values that provided its corresponding outputs.
Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
Nine hundred and seventeen point twenty seven