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katrin [286]
2 years ago
11

Factorise 4x^3 + 24x^2 Fully

Mathematics
1 answer:
almond37 [142]2 years ago
6 0

Answer:

4x^2(x+6)

4x^3 is split into 4 and 3 x's

24x^2 is split into 4 and 6 and 2 x's

Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(

Then put what is left over inside the bracket:

4x^2(x+6)

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Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units. What is AF? 11 units 15 units 43 units 51
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see the attached figure to better understand the problem

we know that

The point G is where all medians intersect and is often described as the triangle's center of gravity or centroid. It is formed by the intersection of the medians. The centroid divides each median in a ratio of \frac{2}{1}

so

\frac{AG}{GF}   =\frac{2}{1}  \\\\ \frac{5x+4}{3x-1}=\frac{2}{1}\\ \\ (3x-1)*2=5x+4\\ \\  6x-2=5x+4 \\\\ 6x-5x= 4+2\\\\ x=6\ units

<u>Find the value of FA</u>

FA=(5x+4)+(3x-1)\\ \\FA=8x+3\\ \\FA=8*6+3\\ \\FA=51 units

therefore

<u>the answer is </u>

51 units



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