The choice which is equivalent is
option B
<h3>How to determine the value</h3>
We have that;
where ![x\geq 0](https://tex.z-dn.net/?f=x%5Cgeq%200)
First, we factorize the square root
= ![\sqrt{2 * 3 * x^2 } . \sqrt{3 * 3 * 2 * x^2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%20%2A%203%20%2A%20x%5E2%20%7D%20.%20%5Csqrt%7B3%20%2A%203%20%2A%202%20%2A%20x%5E2%7D)
Find the common factors
= ![2 * 3 x^2\sqrt{3}](https://tex.z-dn.net/?f=2%20%2A%203%20x%5E2%5Csqrt%7B3%7D)
= ![6x^2\sqrt{3}](https://tex.z-dn.net/?f=6x%5E2%5Csqrt%7B3%7D)
Thus, the choice which is equivalent is
option B
The complete question is;
Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²
a. ![6\sqrt{3x}](https://tex.z-dn.net/?f=6%5Csqrt%7B3x%7D)
b. ![6x^2\sqrt{3}](https://tex.z-dn.net/?f=6x%5E2%5Csqrt%7B3%7D)
c. ![6\sqrt{18x}](https://tex.z-dn.net/?f=6%5Csqrt%7B18x%7D)
d. ![\sqrt{108x^2}](https://tex.z-dn.net/?f=%5Csqrt%7B108x%5E2%7D)
Learn more about algebraic expressions here:
brainly.com/question/723406
#SPJ1
Six billion, three hundred ninety-two million, ninety-four thousand and three.
( If it's wrong, please comment about it. )
<span>The side of one square is 2 cm longer than the side of a second square.
If the combined area of the squares is 100 square cm, find the dimensions
of each square.
:
The area of the two squares
x^2 + (x+2)^2 = 100
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x + 4 - 100 = 0
2x^2 + 4x - 96 = 0
Simplify, divide by 2
x^2 + 2x - 48 = 0
Factors to
(x+8)(x-6) = 0
the positive solution
x = 6
:
6 by 6 the small square
8 by 8 the large square
;
:
Check: 36 + 64 = 100 Does this make sense to you?</span>
<u>Question 1</u>
The complement of set B is all the elements in S but that are not in B, which is
.
We want to find the intersection of set A and the complement of set B, which is the set of all elements that both sets contain.
This is {2, 9, 10, 12}, meaning there are 4 elements.
<u>Question 2</u>
Following a similar logic as the last problem, the complement of set A is
.
Therefore, the desired set is
, and thus there are 6 elements.
Basically f(x)=5x means whatever number you plug in will be your x coordinate, and the result will be your y coordinate.
(1,5) (2,10) (3,15) (4,20) and so on. 1,2,3 and 4 are x coordinates plugged into the equation, the y coordinate is whatever 1,2,3 and 4 multiplied by 5 is.