Explain the steps involved in adding two rational expressions.

Mathematics

2 answers:

Andru [333]2 years ago

8 0

Expressions are when they don’t have an equal sign

Tema [17]2 years ago

4 0

Answer:

Factor the denominators of each expression to find the LCD.

Rename each expression, if needed, by multiplying by a form of one to get the LCD.

Add the numerators, keeping the denominators the same.

If possible, simplify by factoring the numerator and dividing out common factors from both the numerator and denominator.

Step-by-step explanation:

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Please help me I don't understand!!!

pantera1 [17]

2.There is this theorem stating that the length of the altitude drawn to the hypotenuse of a right triangle is the geometric mean between the segments that the hypotenuse is divided into. In numerical form it would look like this:

6/altitude = altitude/x-6

We can solve the length of the altitude by using Pythagorean Theorem. The altitude creates two triangles within the large triangle. We will be using 6 and 10 to find the altitude. Fortunately, instead of squaring the sides we can simply use the common triple: 3,4,5 to deduce that the length of the altitude is 8.

Now that we have the value for the altitude we can substitute it into the equation above.

6/8=8/x-6
Cross multiply
64 = 6x - 36
Add 36 to both sides
100 = 6x
50=3x
50/3=x

13. There is another theorem that <span>an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle. In numerical form it would look like this:
20/x = 12/6
cross multiply
12x = 120
x=10</span>

6 0

3 years ago

Given a rectangle with demensions 5cm and 10cm as shown find the length of the diagonal If possible

kifflom [539]

10^2 + 5^2 = Diagonal length. so, 100 + 25 = 125 diagonal length

8 0

3 years ago

What is 6476 divided by 12

Inessa [10]

The easiest way to solve this, is expressing the division as a fraction, and then use divisibility rules to simplify our fraction.

Remember that saying 6476 divided by 12 is the same as $\frac{6476}{12}$ . Just like that we have our fraction. Now to simplify it, we are going to use divisibility rules

Remember that to simplify a fraction using divisibility rules, both numerator and numerator must by divisible by the same number.

- Divisibility by 2

A number is divisible by 2 if and only if it ends in 0, 2, 4, 6, or 8. In other words, a number is divisible by 2 if its last digit is even or zero.

Notice that 6476 ends in 6, so it's divisible by 2, and 12 ends in 2, so it's also divisible by 2. Since both the numerator and denominator of our fraction are divisible by 2, we can simplify our fraction dividing both numerator and denominator by 2. To divide by 2, we just need to find the half of each number. The half of 6476 is 3238 and the half of 12 is 6, so we can simplify our fraction as follows:

$\frac{6476}{12} =\frac{3238}{6}$

3238 ends in 8, so it's divisible by 2; 6 ends in 6, so it's divisible by 2. The half of 3238 is 1619 and the half of 6 is 3, so we can simplify our fraction even more:

$\frac{3238}{6}=\frac{1619}{3}$

Now, 1619 does end in zero or an even number, so it's not divisible by 2; similarly, 3 is not even even, so it's not divisible by 2. Let's check if they are divisible by 3

- Divisibility by 3

A number is divisible by 3 if an only if the sum of its digits is 3 or multiple or 3.

Let's check if the numerator of our fraction, 1619, is divisible by 3:

$1+6+1+9=17$ Since 17 is not a multiple of 3, 1619 is not divisible by 3.