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3 years ago

Factor the GCF from the polynomial. 40w^11 + 16w^6

Mathematics

2 answers:

Vesnalui [34]3 years ago

6 0

Answer:

8w6{5w+2}

Step-by-step explanation:

elixir [45]3 years ago

3 0

Answer:

The answer to your question is 8w⁶(5w⁵ + 2)

Step-by-step explanation:

Polynomial 40w¹¹ + 16w⁶

Process

1.- Look for the common factor of coefficients

40 16 2

20 8 2

10 4 2

5 2 2

5 1 5 GCF = 2 x 2 x 2 = 8

2.- Get the GCF of w

The GCF of the variable is w⁶

3.- Get the result

8w⁶(5w⁵ + 2)

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The amount withheld for Social Security weekly: $21.70.

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Using this formula

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Let plug in the formula

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3 years ago

The locations:

GREYUIT [131]

The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

<h3>How to determine the quadrilateral?</h3>

The vertices are given as:

A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)

Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

<h3>How to determine the area?</h3>

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$AD = \sqrt{(-2 -6)^2 + (3 -8)^2}$

$AD = \sqrt{89}$

$CD = \sqrt{(10 -6)^2 + (2 -8)^2}$

$CD = \sqrt{52}$

$AB = \sqrt{(-2 -4)^2 + (3 +6)^2}$

$AB = \sqrt{117}$

The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

This gives

Area = 0.5 * (√52 + √117) * √89

Evaluate

Area = 85.04

Hence, the area of the quadrilateral is 85.04 square units