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2 years ago

What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.

Mathematics

1 answer:

Makovka662 [10]2 years ago

4 0

The factors of expression $2x^{2} +3x-54$ are (x+6) and (2x-9).

The given expression is: $2x^{2} +3x-54$

<h3>What is a factor?</h3>

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

$2x^{2} +12x-9x-54$ (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

$2x(x+6)-9(x+6)$

Take (x+6) as common

$(x+6) (2x-9)$

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression $2x^{2} +3x-54$ are (x+6) and (2x-9).

To get more about factors visit:

brainly.com/question/25829061

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3 years ago

A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra

Harman [31]

Answer:

<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>

<em /> $cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

Step-by-step explanation:

Given

$P\ (a,b)$

$r = \± \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}$

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}}$

Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>

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3 years ago

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uranmaximum [27]

Hope this helps!
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3 years ago

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Advocard [28]

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So:

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3 years ago

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Lina20 [59]

Answer:

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Step-by-step explanation:

Dont know if this helps but i hope it does!

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3 years ago

Read 2 more answers