21. 42° 792 x = [blank1]
1 answer:
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The additional operation which needed to make the expression equivalent to given expression is . Thus the option 3 is the correct option.
Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The equation given in the problem is,
Let the equation is equation number 1.
This expression is to convert in the expression, which is,
Let the above equation is equation number 2.
Let the additional operation which needed to make the expression equivalent to given expression is .
As the addition of and equation 1 is equal to the equation 2. Therefore,
Solve the equation as,
Hence, the additional operation which needed to make the expression equivalent to given expression is . Thus the option 3 is the correct option.
Learn more about the equivalent expression here;
The area of a square and a rectangle is given by multiplying the lengths of the sides of the square
A. The correct statements are;
The area of one square tiles <u>9·x²</u>
The area of the floor is <u>36·x⁶</u>
B. The number of tiles needed to cover the floor <u>324 tiles</u>
<u />
The reason the above values are correct are as follows:
A. The given parameters are;
The expression that represents the side lengths of the square room = 6·x³ feet
The side lengths of the square tiles = 3·x
Required:
To select the correct expressions
Solution:
The area of one square tiles = 3·x × 3·x = 9·x²
The area of the floor = 6·x³ × 6·x³ = 36·x⁽³ ⁺ ³⁾ = 36·x⁶
B. If x = 3, we have;
The area of the floor, = 36×3⁶ = 26,244
The area of one tile = 9 × 3² = 81
The number of tiles needed to cover the floor = <u>324 tiles</u>
Learn more about multiplying side lengths to find area here: