Which of the following is a factor of 3x3 + 18x2 + 27x

1 answer:

3 0

So firstly, we have to factor out the GCF, or greatest common factor, of these terms. To find the GCF, list the factors of each term and the greatest one they share is their GCF. In this case, the GCF is 3x:

$3x(x^2+6x+9)$

Next, what's inside the parentheses is considered a perfect square. Using this format of $(a+b)^2=a^2+2ab+b^2$ , we can factor it as such:

$x^2+6x+9=(x+3)^2\\3x(x+3)^2\\3x(x+3)(x+3)$

<u>The factors of this expression are 3x, x + 3, and x + 3.</u>

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Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm

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Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

$c^{2} =a^{2} + b^{2}$

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

$c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\$