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3 years ago

Explain how a(b + c ) can rewritten as (b + c) and as ba + ca

Mathematics

1 answer:

mart [117]3 years ago

5 0

Answer:

The distributive property makes it possible

Step-by-step explanation:

Step one:

given the expression a(b + c )

the first step is to open the bracket, that is multiply all the terms in the bracket by a, so multiply b by a and c by a also.

Step two:

Thus, this property is called the distributive property of multiplication

a*b+ca

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Simplify the following radical <br> Sqrt 126x^13

fenix001 [56]

Answer:

$\large\boxed{\sqrt{126x^{13}}=3x^6\sqrt{14x}}$

Step-by-step explanation:

$Domain:\ x\geq0\\\\\sqrt{126x^{13}}=\sqrt{9\cdot14\cdot x^{12+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{9\cdot14\cdot x^{12}\cdot x^1}=\sqrt{9\cdot14\cdot x^{6\cdot2}\cdot x}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{and}\ (a^n)^m=a^{nm}\\\\=\sqrt9\cdot\sqrt{14}\cdot\sqrt{(x^6)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=3\cdot\sqrt{14}\cdot x^6\cdot\sqrt{x}=3x^6\sqrt{14x}$

3 0

3 years ago

Hello

Gelneren [198K]

13 is less than or equal to 24
the gator always wants to get the bigger price (<<<<24)
the line at the bottom represents equal

6 0

3 years ago

Read 2 more answers

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:

sladkih [1.3K]

The highlighted variables a = 6 , b = 2, c=6 , d =2 , e=6 , f =6 , g =1

<h3>What is an Expression ?</h3>

An expression is a mathematical statement which consists of variables , constants and mathematical operators.

$\rm \dfrac{2}{x^2-36}-\dfrac{1}{x^2+36}\\= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+a)}\\=\dfrac{bx}{x(x+6)(x-6)}-\dfrac{x-c}{x(x+6)(x-6)}\\\\=\dfrac{dx-x+e}{x(x+6)(x-6)}\\\\= \dfrac{x+f}{x(x+6)(x-6)}\\\\=\dfrac{g}{x(x-6)}$

In the given expression

a = 6 , b = 2, c=6 , d =2 , e=6 , f =6 , g =1

To know more about Expression

brainly.com/question/14083225

#SPJ1

8 0

1 year ago

Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than th

vampirchik [111]

Answer:

122 km/h

138 km/h

Step-by-step explanation:

distance = speed * time

One bus travels 16 km/h slower than the other

(s * 2) + (s - 16)2 = 520

2s + 2s - 32 = 520

4s = 552

s = 552/4

s = 138 km/h

s - 16 = 122 km/h

3 0

3 years ago

To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the digits 1 dash 9. How many 3-d

3241004551 [841]

Answer:

729 , 3- digit codes are possible

Step-by-step explanation:

To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the digits 1 dash 9.

We need a 3 digit code using digits 1 to 9

so total of 9 digits are used

also repetition of digits are permitted

In a 3 digit code, first digit can be any number from 0 to 9

so 9 possible numbers for first digit.

since repetition is allowed so second and third digit also have any number between 0 to 9

3 digit code

------ , ------- , --------

9 possibilities for each place

---9--- , ----9--- , ----9----

9 *9 *9 = 729

so 729 , 3- digit codes are possible

6 0

3 years ago