Note: We can only use the expanded power rule when there isn't any addition or subtraction. In the example below you need to mul
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Answer:
d = 2cot(x) or d = 2/tan(x)
Step-by-step explanation:
The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:
Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).
The inequality that can be used to determine x is
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<h3>How to generate the inequality</h3><u>Given data</u>
Rental company charge per day = $31.91
Rental company charge per mile driven = $0.07
Hudson plans to drive 100 miles
Hudson has at most $70
solution
let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:
$31.91 * x= 31.91x
As Hudson plans to ride 100 miles; cost is:
100 * 0.07 = $7
therefore number of days plus 100 miles ride is:
31.91x + 7
with a limit of less than or equal to the budget we have:
The inequality above could be used to determine x
Read more on inequality here: brainly.com/question/11613554
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The completely factored equation is (a²b - 5)(4a²b - 1)
<h3>How to factor equation?</h3>4a⁴b² - 21a²b + 5 = 0
let's expand the equation
Therefore,
4a⁴b² - 21a²b + 5 = 0
4a⁴b² - 20a²b - a²b + 5 = 0
Rearrange the equation
4a⁴b² - a²b - 20a²b + 5 = 0
Let's factorise the equation
4a⁴b² - a²b - 20a²b + 5 = 0
a²b(4a²b - 1) - 5(4a²b - 1) = 0
Therefore, the completely factored equation is as follows:
a²b(4a²b - 1) - 5(4a²b - 1) = 0
(a²b - 5)(4a²b - 1)
learn more on equation here: brainly.com/question/8842252
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