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3 years ago

Find the least common multiple of the pair of polynomials. 3y2 - 48 and y + 4

Mathematics

1 answer:

alexdok [17]3 years ago

7 0

Step-by-step explanation:

3y2 - 48

So the least common multiple is 3

3( y2 - 16)

y + 4 there cannot be a multiple of y

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Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).

Damm [24]

Answer:

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Step-by-step explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

$Centroid=(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})$

Using the above formula the centroid of △ABC is

$Centroid=(\dfrac{2-4+3}{3},\dfrac{4+0-1}{3})$

$Centroid=(\dfrac{1}{3},\dfrac{3}{3})$

$Centroid=(\dfrac{1}{3},1)$

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).

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