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Masja [62]
3 years ago
13

Are a rational expression and its simplified forms equivalent? Provide mathematical examples to support your opinions.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
Yes rational expression and its simplified forms are equivalent.

Rational expression are those that contain fractions.

Example: 
25/50 is a rational expression but it is not yet in its simplest form.

25/50 ⇒ 5/10 ⇒ 1/2

1/2 is the simplest form of 25/50.

They are equivalent:

1/2 = 25/50
1*50 = 2*25
50 = 50

or 
1/2 = 0.50
25/50 = 0.50


You might be interested in
Convert 240/98 to a proper fraction
IceJOKER [234]
The answer is 2 22/49 you divide 240 by 98 which gives you 2 44/98 but you have to simplify it down to 2 22/49
8 0
3 years ago
The ratio of money in Terry's bank account to Faye's bank account was 3:7.
igor_vitrenko [27]

Answer:

£390

Step-by-step explanation:

 The ratio of money in bank:

        Terry  :    Faye

             3      :     7

Terry put £220 in his account

Faye withdrew £300 from her account

 Unknown:

Initial amount Terry had = ?

Solution:

 Let the real amount terry has = 3x

  Faye will have = 7x

Now;

        3x + 220  = 7x -300

 Solving this equation:

         3x + 220  = 7x -300

       3x - 7x = -300 - 220  

           -4x  = - 520

             4x = 520

               x = 130

Originally, Terry has 3x = 3 x 130 = £390

3 0
2 years ago
Please help me out :P
Veseljchak [2.6K]

cos θ = \frac{-4\sqrt{65} }{65}, sin θ = \frac{-7\sqrt{65} }{65}, cot  θ  = 4/7, sec  θ = \frac{-\sqrt{65} }{4}, cosec  θ  = \frac{-\sqrt{65} }{7}

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = \sqrt{7^{2} + 4^{2} } = \sqrt{49+16} = \sqrt{65}

sin θ = opposite/ hyp = \frac{7}{\sqrt{65} }

Rationalize, \frac{7}{\sqrt{65} } x \frac{\sqrt{65} }{\sqrt{65} } = \frac{7\sqrt{65} }{65}

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - \frac{7\sqrt{65} }{65}

cos   θ  = adj/hyp = \frac{4}{\sqrt{65} }

By rationalizing and knowing that cos  θ  is negative, cos θ  = -\frac{-4\sqrt{65} }{65}

cot θ  = 1/tan θ  = 1/7/4 = 4/7

sec θ  = 1/cos θ  = 1/\frac{4}{\sqrt{65} } = -\frac{-\sqrt{65} }{4}

cosec θ  = 1/sin θ  = 1/\frac{\sqrt{65} }{7} = \frac{-\sqrt{65} }{7}

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0
1 year ago
Tell whether the following equation has one, zero, or infinitely many solutions.
maksim [4K]

Answer:

ITs C One solution

Step-by-step explanation:

Two sides are not equal.

7 0
2 years ago
The actual length of c in the triangle shown is 15 cm.
Strike441 [17]
The answer is B. Hope this helps!
4 0
2 years ago
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