What are the properties of the incenter of a triangle

Mathematics

1 answer:

Anit [1.1K]2 years ago

5 0

<span>Located at intersection of the angle bisectors. See Triangle incenter definition</span>

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Find the mean, median, mode, range, and standard deviation of the data set obtained after multiplying each value by 2. Round to

Elena L [17]

Answer:

mean: 8.9, median: 9, mode: 3, range: 14, standard deviation: 5.1

Step-by-step explanation:

The mean is all the numbers added up, divided by how many numbers there are. To get the median you arrange the numbers biggest to smallest and find the middle number.

7 0

2 years ago

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How to find the minimum value of f(x) = 3x (x - 4)?

DaniilM [7]

well, let's first off, expand the expression, 3x(x-4) => 3x²-12x, which we can also write as

f(x) = 3x² - 12x + 0

now, this is a quadratic equation with a leading term with a positive coefficient, namely its graph is a parabola, or a Cup-Shaped figure, so the graph comes from the top, goes down down down, reaches a U-turn, then goes back up up up.

the U-turn, or vertex of the quadratic, is the lowest point in the "cup".

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ \stackrel{f(x)}{y}=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-12}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{(-12)}{2(3)}~~,~~0-\cfrac{(-12)^2}{4(3)} \right)\implies \left( \cfrac{12}{6}~,~0-\cfrac{144}{12} \right)\implies (2~,~-12)$