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a_sh-v [17]
2 years ago
11

Which products result in a difference of squares or a perfect square trinomial? check all that apply. (5x 3)(5x – 3) (7x 4)(7x 4

) (2x 1)(x 2) (4x – 6)(x 8) (x – 9)(x – 9) (–3x – 6)(–3x 6)
Mathematics
1 answer:
Scilla [17]2 years ago
8 0

(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.

<h3>What is a perfect square?</h3>

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The following are the answers

(5x + 3)(5x – 3) Difference of squares

(7x + 4)(7x + 4) is a Perfect square trinomial

(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.

(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.

(x – 9)(x – 9) is Perfect square trinomial

(–3x – 6)(–3x + 6) = (-3x)^2- ( -6)^2  Difference of squares.

Learn more about perfect square:

brainly.com/question/1415730

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One-half of a number,<br> increased by 69 is 74.<br> What is the number?
Klio2033 [76]

Answer:

10

Step-by-step explanation:

let the number be n then half the number is \frac{1}{2} n , so

\frac{1}{2} n + 69 = 74 ( subtract 69 from both sides )

\frac{1}{2} n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

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2 years ago
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arlik [135]

Given:

In a right angle triangle θ is an acute angle and \tan\theta =\dfrac{3}{5}.

To find:

The value of \cos \theta.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

We have,

\tan\theta =\dfrac{3}{5}

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

Hypotenuse=\sqrt{Perpendicular^2+base^2}

Hypotenuse=\sqrt{(3x)^2+(5x)^2}

Hypotenuse=\sqrt{9x^2+25x^2}

Hypotenuse=\sqrt{34x^2}

Hypotenuse=x\sqrt{34}

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{5x}{x\sqrt{34}}

\cos \theta=\dfrac{5}{\sqrt{34}}

Therefore, the value of \cos \theta is \dfrac{5}{\sqrt{34}}.

8 0
2 years ago
What is the final amount if 588 is decreased by 3% followed by a 6% increase?
Kaylis [27]

Answer:

604.58

Step-by-step explanation:

because hegarty says its 604.58

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3 years ago
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Maurinko [17]

Answer:

The slope is -3/4 and the y-intercept is 1.

Step-by-step explanation:

B is the point where the line cross the y-axis, or vertical axis. Slope is the steepness of the line. Determined by rise over run. When the slope goes down 3 units, the slope goes to the right 4 units.

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2 years ago
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Please help me fast!
Elan Coil [88]

Answer: it’s 70 years

Step-by-step explanation:

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