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stealth61 [152]
1 year ago
14

What is the rational expression in simplest form? State any restrictions on the variables.

Mathematics
1 answer:
allochka39001 [22]1 year ago
4 0

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = \frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = \frac{-4}{(x+3)}

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is \frac{-4}{(x+3)}

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

<u>brainly.com/question/1280754</u>

#SPJ4

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Find the equation and solve it.
Mice21 [21]
To solve this, you divide 116 by four, this gets you 29. The loser got 29 votes. Then you subtract 116-29 which gives you 87. That is how many votes the winner received. Hope this helps
8 0
3 years ago
Read 2 more answers
If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of
gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

Scale=\frac{distance on the map}{distance in reality}

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}

Solving:

\frac{3.7 inches}{175 km}×distance in reality= 5.7 inches

distance in reality= \frac{5.7 inches}{\frac{3.7 inches}{175 km}}

<u><em>distance in reality= 269.59 km</em></u>

In summary, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

Learn more about map and scale:

brainly.com/question/24693076

brainly.com/question/13150795

brainly.com/question/27928319

#SPJ1

8 0
1 year ago
Given that ∠CEA is a right angle and bisects ∠CEA, which statement must be true?
loris [4]
Given that ∠CEA is a right angle which has been bisected by BE, then:
∠CEB=∠BEA
thus each angle will be complementary to each other, hence the size will be:
90/2=45°
hence the correct statement.
<span>m∠CEB = 45°</span>
8 0
2 years ago
Read 2 more answers
Help with 4 and 5 please!!
Ghella [55]
Question 4
The magnitude;
Using Pythagoras theorem,
 (-200)² + (-530)² = 320900
                 Length = √320900
                              =  566.5 mi
To get the angle
Tan θ = opposite/adjacent
          = 200/530
          =  0.3774
       θ = tan^-1 (0.3774)
          =  20.67
          ≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
 About 566.5 mi, 21° south of west

Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
                           = <0,0>
 
4 0
3 years ago
Please help me on these questions and explain it thanks
Korolek [52]
ABC = 180-120=60
ACB = 180-(40+60)=80
Therefore ECD= 80 as ACB and ECD are vertically opposite angles

the solution is A as that is where the graphs intersect each other
6 0
3 years ago
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