Factor 6x^2+x-2/ 3x^2+14x+8

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Split the second term in 6x^2 + x - 2 into two terms

6x^3 + 4x - 3x - 2/3x^2 + 14x + 8

Factor out the common terms in the first two term, then in the last two terms

2x(3x + 2) - (3x + 2)/3x^2 + 14x + 8

Factor out the common term 3x + 2

(3x + 2)(2x - 1)/3x^2 + 14x + 8

Split the second term in 3x^2 + 14x + 8 into two terms

(3x + 2)(2x - 1)/3x^2 + 12x + 2x + 8

Factor out common terms in the first two terms, then in the last two terms

(3x + 2)(2x - 1)/3x(x + 4) + 2(x + 4)

Factor out the common term x + 4

(3x + 2)(2x - 1)/(x + 4)(3x + 2)

Cancel 3x + 2

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consider a quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1). determine the most accurate type of quadrilateral from the

Burka [1]

Answer:

Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

Step-by-step explanation:

Considering the quadrilateral with vertices

d(0,0)

i(5,5)

n(8,4)

g(7,1)

Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

From the figure a, it is clear that the quadrilateral has

Two pairs of sides
Each pair having two equal-length sides which are adjacent
The angles being equal where the two pairs meet
Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half

Please check the attached figure a.

Keywords: kite, quadrilateral

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