Answer:
x = 35 feet.
Step-by-step explanation:
Given that,
The height of the person is 5 feet.
The height of the flag and the eye is (x-5) feet.
We can calculate using trigonometry.
So, the value of x is equal to 35 feet. The correct option is (c).
Madison reads 24 pages of her book each day. She has read for 9 days & is exactly halfway through reading her book. What is
2 answers:
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Answer:
Please check the attached graph.
Step-by-step explanation:
We know that 'greater than or equal' is represented as '≥'.
Thus, inequality ''x+3 greater than or equal to 2'' is represented as:
<u><em>Solving inequality</em></u>
subtract 3 from both sides
simplify
Thus,
Please check the attached graph.
Answer:
a = 1, b = - 2
Step-by-step explanation:
The points that lie on the curve and straight line satisfy the corresponding equations.
Substitute the points into their corresponding equations, that is
(1, - 1 ) → - a = 1² + b = 1 + b ( multiply both sides by - 1 )
a = - 1 - b → (1)
(3, 3 ) → =
( cross- multiply )
- 3ab = 6 ( divide both sides by - 3 )
ab = - 2 → (2)
Substitute a = - 1 - b into (2)
(- 1 - b)b = - 2 , distribute left side
- b - b² = - 2 ( multiply through by - 1 )
b² + b = 2 ( subtract 2 from both sides )
b² + b - 2 = 0 ← in standard form
(b + 2)(b - 1) = 0 ← in factored form
Equate each factor to zero and solve for b
b + 2 = 0 ⇒ b = - 2
b - 1 = 0 ⇒ b = 1
Substitute these values into (1) for corresponding values of a
b = - 2 : a = - 1 - (- 2) = - 1 + 2 = 1
b = 1 : a = - 1 - 1 = - 2
Thus a = - 2, b = 1 or a = 1, b = - 2
Given that a > b then a = 1, b = - 2