The graph of the function f(x) = -(x+3)(x-1) is shown
1 answer:
The true statement about this function is that: B. the function is negative for all real values of x, where x < -3 and where x > 1.
<h3>What is a function?</h3>A function is a mathematical expression which can be used to define and indicate the relationship existing between two or more variables in a data set.
By critically observing the graph which models the given function (see attachment), we can logically deduce that the true statement about this function is that it's negative for all real values of x, where x is less than -3 and where x is greater than 1.
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Answer: 12.5
Step-by-step explanation: The triangle ABC and its altitude is represented in the figure below.
<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of , now we have two similar triangles, which means that ratios of corresponding sides are equal:
(1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
(2)
Substituting (2) into (1):
We want to find f, so:
f = 7.5
The length of is
The length of the hypotenuse of triangle ABC is 12.5 units.
