Around 2.09 hours.
the train travels 268 miles/hour
560/268 = 2.09
Answer:
x = 29.44
y = 34
Step-by-step explanation:
For this problem, we will simply use trigonometry to find the values of y and x for the given triangle.
The two trigonometric functions we will use are tangent and sine.
The general form for tangent is:
tan (Θ) = opposite / adjacent
The general form for sine is:
sin (Θ) = opposite / hypotenuse
For our given triangle, let's solve for x.
tan (30) = 17 / x
x * tan(30) = (17 / x) * x
x tan(30) = 17
x tan(30) * ( 1 / tan(30) ) = 17 * ( 1 / tan(30) )
x = 17 / tan(30)
x = 29.44
Now, let's solve for y.
sin (30) = 17 / y
y * sin(30) = (17 / y ) * y
y sin (30) = 17
y sin (30) * ( 1 / sin(30) ) = 17 * ( 1 / sin(30) )
y = 17 / sin(30)
y = 34
Hence, the values of x and y in our triangle are as follows:
x = 29.44
y = 34
Cheers.
The function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
<h3>Translation of functions</h3>
Translation is a technique used to change the position of an image on an xy-plane. Given the function below;
f(x) = x +2
If the expression is translation 2 units to the right, the translation rule will be:
g(x) = f(x )- 2
Substitute
g(x) = x + 2 - 2
g(x) = x
Hence the function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
Learn more on translation here: brainly.com/question/12861087
#SPJ1
Answer:
(f - g)(x) = (3x + 1) - (x^2 - 6) = 3x + 1 - x^2 + 6 = -x^2 + 3x + 7
