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3 years ago

Simplify this rational expression. 2x^2+5x+3/2x^2-x-3

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

Answer:

$2x+3$ / $2x-3$

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify $2x^{2} +5x+3$

to simplify this we use factorization

$2x^{2} +2x+3x+3$

$2x(x+1) +3(x+1)$

$(2x+3) (x+1)$ .....(1)

2nd step:simplify $2x^{2} -x-3$

$2x^{2} +2x-3x-3$

$2x(x+1)-3(x+1)$

$(2x-3)(x+1)$ .....(2)

now dividing (1) and (2), we get the answer

$2x+3/2x-3$

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Korolek [52]

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3 years ago

Read 2 more answers

A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An

Gnom [1K]

I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
$tan A = \frac{h+70}{40} , tan B = \frac{70}{40}$

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
$tan (A-B) = \frac{tanA - tanB}{1+tan A tan B}$
Plug in what we know:
$tan(9) = \frac{ \frac{h+70}{40} - \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}$
$tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}$
$h = \frac{650 tan(9)}{4-7 tan(9)}$
$h = 35.6$

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3 years ago