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3 years ago

Factor (difference of squares) the binomial 25x^2-4 and find one of its factors

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Step-by-step explanation:

Hey, there!

Here,

Given that:

$= 25 {x}^{2} - 4$

we need to find factor,

As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,

25x^2 means (5x)^2

and 4 means 2^2

Now, it would be,

$= ( {5x)}^{2} - {2}^{2}$

$= (5x + 2)(5x - 2)$

Therefore, it's factor would be (5x+2)(5x-2).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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What is the area of the trapezoid that is not drawn to scale??

netineya [11]

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Because the equation is : (a+b) *h / 2
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(11+8)*4 / 2
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Blababa [14]

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3 years ago

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2a +5 - 3a -12 please

chubhunter [2.5K]

Answer:

-7-a

Step-by-step explanation:

2a-3a +5-12

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3 years ago

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triangle QRS is an equilateral triangle if QR is 7 less than twice X RS is 61 less than 5 times x and QS is 11 more than x find

Katarina [22]

Answer:

QR=RS=QS=29

Step-by-step explanation:

Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

Also, from the given statement, we have

QR=2x-7, RS=5x-61 and QS=11+X

Now, As all the sides of the triangle are equal, therefore

QR=RS=QS

⇒QR=RS

⇒2x-7=5x-61

⇒-7+61=5x-2x

⇒54=3x

⇒x=18

Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.

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What is the equation of the following line? Be sure to scroll down first to see

Rom4ik [11]

<h2>Answer:</h2>

-1/3x

<h2>Step-by-step explanation:</h2><h3>Known :</h3>

x1 = -3
x2 = 0
y1 = 1
y2 = 0

<h3>Asked :</h3>

Correct line equation

<h3>Solution :</h3>

We can find the straight line equation using this formula,

$\frac{y-y1}{y2-y1} = \frac{x-x1}{x2-x1}$

Insert all we know inside the formula,

$\frac{y-1}{0-1} = \frac{x-(-3)}{0-(-3)}\\\frac{y-1}{-1} = \frac{x +3}{3}\\$

Use cross multiplication,

3(y - 1) = -1(x + 3)\

3y - 3 = -x - 3

3y = -x - 3 + 3

3y = -x

y = -1/3x

<h3>Conclusion :</h3>

The correct equation is y = -1/3x

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