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Vikki [24]
3 years ago
11

Simplify and state the domain for x^2-x-12/x-4​

Mathematics
1 answer:
saw5 [17]3 years ago
8 0

The domain of a function is the set of input values the function can take

The domain is all set of real numbers

<h3>How to determine the domain</h3>

The expression is given as:

\frac{x^2 - x - 12}{x - 4}

Factorize the numerator of the expression

\frac{(x - 4)(x + 3)}{x - 4}

Simplify: Cancel out the common terms

x + 3

The above expression can take any value of x.

Hence, the domain is all set of real numbers

Read more about domain at:

brainly.com/question/2264373

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A triangle has a perimeter of 25" the medium side is 4 More than the short side and the longest site is 5 times the length of th
Paul [167]

Answer:

The shortest side is 3”

Step-by-step explanation:

In this question, we can observe that we have 3 sides of a triangle which are not equal in length. These sides are the long, medium and short.

We now have some mathematical statements according to the question.

Since these statements are referencing the short side, let’s start from there.

Let the length of the short side be x. The medium side is 4” more than the short side. This means that the medium side will be the short side plus 4 which mathematically is (x + 4)“. Also, we know that the longest side is 5 times the length of the shortest side. This is mathematically equal to 5x.

Lastly, we are made to know that the perimeter of the triangle is 25”. The perimeter of a triangle can be obtained by adding all the lengths together. This means that:

x + x +4 + 5x = 25

7x + 4 = 25

7x = 25 - 4

7x = 21

x = 21/7

x = 3”

5 0
3 years ago
Round 9254 to the nearest hundred
wolverine [178]
9300 is the correct answer
4 0
3 years ago
Read 2 more answers
What is the area of the rectangle?
Molodets [167]

Answer:

D

Step-by-step explanation:

Please look at the attached picture for full solution.

Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.

Method 2 is making use of the distance formula of two points. The formula is as shown below:

\sqrt{(x1 - x2) ^{2}  + (y1 - y2)^{2} }

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.

4 0
3 years ago
What's the value of x ?
Helen [10]

the formula for the Pythagorean theorem is a squared plus b squared is equals to c squared we don't have our a so it will be 8 * 8 =64which is 64 is equals to 10 * 10 which is 100 - 64 is equals to 36 then you square root do square roots the 36 which is 6

5 0
4 years ago
What is the length of side BC of the triangle?<br> Enter your answer in the box.
Murljashka [212]

Answer:

28

Step-by-step explanation:

2x + 7 = 4x - 7

14 = 2x

x = 7

BC = 4x = 4(7) = 28

8 0
2 years ago
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