Factor the expression completely

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)

2 ( 2x+3) (2x-3)

LekaFEV [45]3 years ago

6 0

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

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These two polygons are similar.

Jet001 [13]

Answer:

$\huge\boxed{z=3}$

Step-by-step explanation:

If two polygons are similar, then corresponding sides are in proportion.

The corresponding sides:

4 → x

y → 15

3 → w

2 → 6

z → 9

therefore:

$\dfrac{z}{9}=\dfrac{2}{6}$ cross multiply

$(z)(6)=(9)(2)$

$6z=18$ divide both sides by 6

$z=3$

4 0

3 years ago

What is the distance between A (-4,2) and B (12,4)

My name is Ann [436]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad
B(\stackrel{x_2}{12}~,~\stackrel{y_2}{4})\qquad \qquad
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AB=\sqrt{[12-(-14)]^2+[4-2]^2}\implies AB=\sqrt{(12+14)^2+(4-2)^2}
\\\\\\
AB=\sqrt{26^2+2^2}\implies AB=\sqrt{680}$