Answer:
The lighthouse is 424 feet away.
Step-by-step explanation:
There is no other way to do this but to use one of the 6 trigonometry functions.
Drawing
Draw a dotted horizontal line.
judge an angle that could be 23o. Let it slant downward from the left side of the dotted line.
Draw another horizontal line that represents sea level.
Join the left side of the dotted line to the last line you drew. The angle on your right is also 23o.
Function
You have 6 trig functions to choose from. You have the lighthouse height (180 feet) the angle on your right, and the length on the horizontal representing the distance from the lighthouse base to the boat.
You have an angle
You have an opposite side
You have a horizontal line (the adjacent side)
You want to use the tangent function.
Tan(23) = opposite / ad
Tan(23) = 180 / adjacent Multiply both sides by the adjacent
adjacent*Tan(23)= 180 Divide by Tan(23)
adjacent = 180/Tan(23)
adjacent = 180 / 0.42447
adjacent = 424 feet.
Answer:
x3, because when you have the powers (in x6, the "6" is the power) then you add the powers. x3 + x6 = x9. So your answer is x3.
Step-by-step explanation:
The graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have a polynomial function:
f(x) = x⁴ + x³ – 8x² – 12x
First, find the roots or zeros of the polynomial.
Using the factorization method:
We can write the above polynomial as:
f(x) = x(x³ + x² - 8x - 12)
Or
f(x) = x(x + 2)(x + 2)(x - 3)
Or
f(x) = x(x + 2)²(x - 3)
The zeros are:
x = 0
x = -2
x = 3
Thus, the graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
Learn more about Polynomial here:
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Answer: 2
Step-by-step explanation: