3 years ago

What is the area of a triangle whose vertices are L(4, -6) , M(9, -6) , and N(6, -2)

Mathematics

1 answer:

insens350 [35]3 years ago

7 0

Check the picture below. You can pretty much count the units off the grid.

recall that A = (1/2)bh.

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Cathy cut 2 apples into 6 slices each.She ate 9 slices.What expression matches the words?

olasank [31]

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Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

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White raven [17]

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