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3 years ago

6x^2-5x+1 Factor polynomial

Mathematics

1 answer:

Tamiku [17]3 years ago

8 0

6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)

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X^2+y^2=130 and 5x+y=26 solve this simultaneous equation

zhuklara [117]

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4 years ago

4. ABCD below is a rectangle. BE=6x+2 and ED=4x+6. Find the length of AC.

Nikolay [14]

Answer:

28 units

Step-by-step explanation:

ABCD is a rectangle. AC and BD are diagonals intersecting at point E.

Diagonals of a rectangle bisect each other.

$\therefore BE = ED$

$\therefore 6x + 2 = 4x + 6$

$\therefore 6x - 4x= 6-2$

$\therefore 2x= 4$

$\therefore x= \frac{4}{2}$

$\therefore x= 2$

$\therefore 6x + 2= 6*2+2= 12+2= 14$

$\therefore BE= 14\: units$

$\because BD = 2BE$

$\therefore BD = 2(14)= 28\: units$

$\because AC = BD$ (diagonals of a are equal in measure)

$\therefore AC = 28\: units$

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3 years ago

The glass part of a window is 32 1/2 inches wide. Including the frame on the left and right sides, the total width is 42 inches.

Lisa [10]

The glass part of the frame is an illustration of fractions

The width of each side of the frame is 5 1/4 inches

<h3>How to determine the width of each side?</h3>

The given parameters are:

Total width = 42 inches
Glass part = 32 1/2 inches

Represent the width of each side with x.

So, we have:

Glass part + 2x = Total width

Substitute known values

31 1/2 + 2x = 42

Subtract 31 1/2 from both sides

2x = 10 1/2

Divide both sides by 2

x = 5 1/4

Hence, the width of each side of the frame is 5 1/4 inches