The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
Answer: no real solution
Thus, the function has no x- intercept
Step-by-step explanation:
The attached graph represents the solution set of 
<h3>How to determine the graph?</h3>
The complete options are not given.
So, I would plot the graph that represents the solution set
The inequality is given as:

Start by splitting the inequalities as follows:


The above means that we plot the graphs of f(x) and g(x) to represent the solution set
See attachment
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Answer:
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Step-by-step explanation:
Answer:
x = 4, TU = 22
Step-by-step explanation:
Given that TS bisects TU at Q , then
TQ = QU , substitute values
5x - 9 = 15 - x ( add x to both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Thus
TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22