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4 years ago

Factor completely 81x2 − 4. (6 points) (2x − 9)(2x − 9) (2x − 9)(2x + 9) (9x − 2)(9x − 2) (9x − 2)(9x + 2)

Mathematics

2 answers:

Ganezh [65]4 years ago

6 0

Answer:

$(9x+2)(9x-2)$

Last option is correct.

Step-by-step explanation:

The given expression is $81x^2-4$

Write the expression in perfect squares

$(9x)^2-2^2$

Apply the difference of squares formula: $a^2-b^2=(a+b)(a-b)$

Here, a = 9x, b = 2

$(9x)^2-2^2\\\\=(9x+2)(9x-2)$

Therefore, the factored form is $(9x+2)(9x-2)$

Last option is correct.

Orlov [11]4 years ago

4 0

(9x-2)(9x+2)
81x^2+18x-18x-4
81x^2-4

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In triangle ABC , side AB is 6 and side AC is 4: Which statement is needed to prove that segment DE is parallel to segment BC an

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Answer:

Segment AD is 3, and segment AE is 2.

Step-by-step explanation:

In a triangle, the line joining the mid points of two sides is parallel and half of the third sides of the triangle.

Here, ABC is a triangle,

In which,

AB = 6,

AC = 4,

D∈ AB and E∈AC

Let DE ║BC,

And, $DE=\frac{1}{2}BC$

In triangles ADE and ABC,

$\angle ADE\cong \angle ABC$ ( Alternative interior angle theorem )

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By AA similarity postulate,

$\triangle ADE\sim \triangle ABC$

∵ Corresponding sides of similar triangle are in same proportion,

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$\frac{AD}{AB}=\frac{AE}{AC}=\frac{1}{2}$

$\implies AD = \frac{AB}{2}\text{ and }AE =\frac{AC}{2}$

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Hence, the correct option would be,

Segment AD is 3, and segment AE is 2.

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3 years ago

The height of the house is 26 feet. What is the height x of each story?

Maurinko [17]

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Jeremy has 50 ft of fencing to enclose a rectangular-pen for his dog. He plans on using a side of his house for one side of the

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The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.

<h3>What is the dimension of length and width?</h3>

We know that,

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288 = (50 - 2w)w

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This is in quadratic equation form.

By applying quadratic formula,

w = (-(-25) ± $\sqrt{(-25)^{2}-4*1*144$ ) / 2

w = (-(-25) ± 7)/2

w1 = (-(-25) + 7)/2

w1 = (25 + 7) / 2

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w2 = (25 - 7) / 2

w2 = 9

By substituting the values in eq1,

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To learn more about area of rectangle refer to :

brainly.com/question/25292087

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