1. Write the following degrees in radian measure

A literal equation is usually categorized by a myraid of constants that are crucial to the process which is being modeled. We solve such equation in terms of a controlling variable ( that we can choose to alter our process ).

For the following literal equations ( x ) will be the subject of variability.

$3\cdot(bx\text{ - 2ab ) = }b\cdot(x-7a)\text{ + 3ab}$

Whenever we have algebraic expressions we always refer to the rule of ( PEMDAS ).

Step 1: Solve the Parenthesis

We will solve for all the parenthesis in the equation given and write down the result:

$3bx\text{ - 6ab = bx - 7ab + 3ab }$

Step 2: Highlight and combine the like terms

All like terms are classified on the basis of their constants ( a and b ) and variable ( x ) attached. We will highlight all the like terms and take simplify them on either side of the " = " sign:

$\begin{gathered} 3bx\text{ }\text{\textcolor{#FF7968}{- 6ab}}\text{ = bx }\text{\textcolor{#FF7968}{-7ab}}\text{ }\text{\textcolor{#FF7968}{+ 3ab}} \\ 3bx\text{ - bx = 2ab} \end{gathered}$

We combined three like terms ( -6ab , -7ab , and 3ab ).

Step 3: Factorize and simplify the equation

Now we will look for any constant that is present in all the terms throughout the equation. We see that constant ( b ) is common in all the terms. Hence, we will factor ( b ) out and cancel it out from each side of the " = " sign as follows:

$\begin{gathered} b\cdot(3x\text{ - x ) = b}\cdot(2a) \\ \textcolor{#FF7968}{2x}\text{\textcolor{#FF7968}{ = 2a}} \end{gathered}$

Step 4: Solve for the variable ( x )

We are left with a simple expression that relates the constant ( a ) and variable ( x ). We can go ahead and solve for the above:

$\begin{gathered} x\text{ = }\frac{2a}{2} \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = a}} \end{gathered}$

5 0

1 year ago

A cross shapes pattern is made by arranging four identical rectangles around the sides of a square as known in the diagram.

Elanso [62]

Answer:

88 cm

Step-by-step explanation:

The composite figure is made by arranging four identical rectangles around the side of a square.

The area of the square is .

So the side length of the square is,

The area of each rectangle is of the area of the square.

So the area of each rectangle is,

As the breadth of each rectangle is equal to the side length of the square i.e 6 cm, so

Then perimeter of the cross pattern figure will be,

6 0

4 years ago