7 • 10^6 - 5.3 • 10^6
= 1.7 • 10^6 in scientific notation
First, we get the length of the runway in which the pilot had seen a 45° by using the trigonometric formula of tangent.
tan 45° = 1,500 / x
The value of x from the equation is 1500 ft.
We do the same for the 42°
tan 42° = 1,500 / y
The value of y is equal to 1665.92 ft. To determine the length of the runway, we subtract the lengths calculated and this will give us an answer of 165.92 ft.
Jim has 27.5 minutes left to get to the airport.
The translation of a function f(x) can be described as:
f(x)->f(x-h)+k
when the functions has been translated h units to the right, and k units up.
Compare with
sqrt(x)->sqrt(x-1)+0
we see that h=1, k=0.
Thus it is a horizontal translation of 1 unit to the right. (zero unit up).
The solution to the given expression is x = -20/11
<h3>
What are logarithmic functions?</h3>
Logarithmic function are inverse of exponential functions. Given the equation below;
log (6 x + 10) = log 1/2 x
In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have
6x + 10 = 1/2x
Collect the like terms
6x - 1/2x = 0 - 10
Find the LCD
12x-x/2 = -10
11x/2 = -10
Cross multiply
11x = -2 * 10
11x = -20
Divide both sides by 11
11x/11 = -20/11
x = -20/11
Hence the solution to the given expression is x = -20/11
Learn more on log functions and graph here: brainly.com/question/2086094
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