Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The<em> rule of three</em> is:
8 feet - 10 feet
40 feet - h feet
Applying cross multiplication:
8h = 10 x 40
Simplifying by 8:
h = 10 x 5 = 50 feet.
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The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.
<h3>What is an expression?</h3>
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,
E = 2f(x) – h(x)
E = 2( x + 2 ) - ( 1 / x-1)
E = 2x + 4 - (1/x-1)
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What is the series you are referring too?
For the first one, repeat it: triangle, checkered square, hexagon
second one, every other triangle should be upside down: triangle down, triangle up, triangle down.
hope this helped!
Answer:
x4+7x3-2x2-9x-3 remainder -10
or we could write it as
x4+7x3-2x2-9x-3 - 10/(x+8)
Step-by-step explanation:
x+8 ) x5+15x4+54x3−25x2−75x−34 (x4+7x3-2x2-9x-3 <--- Quotient.
x5+ 8x4
7x4+54x3
7x4+56x3
-2x3-25x2
-2x3-16x2
-9x2-75x
-9x2-72x
-3x-34
-3x-24
-10 <--- Remainder.
