Answer:
A) 3x
Step-by-step explanation:
The total of all the volumes is ...
(x -1) + (x) + (x +1) = (1+1+1)x +(-1+1) = 3x+0 = 3x . . . . . matches choice A
The length of rectangular mosaic flag is 710 feet and width is 470 feet
Step-by-step explanation:
Let l be the length of the flag
and
w be the width
Then according to given statement
l = w+240
Perimeter = 2360 feet
The formula for perimeter is given by:

Putting values
![2360 = 2[w+240+w]\\\frac{2360}{2} = \frac{2[w+240+w]}{2}\\1180 = 2w+240\\1180-240 = 2w+240-240\\940 = 2w](https://tex.z-dn.net/?f=2360%20%3D%202%5Bw%2B240%2Bw%5D%5C%5C%5Cfrac%7B2360%7D%7B2%7D%20%3D%20%5Cfrac%7B2%5Bw%2B240%2Bw%5D%7D%7B2%7D%5C%5C1180%20%3D%202w%2B240%5C%5C1180-240%20%3D%202w%2B240-240%5C%5C940%20%3D%202w)
Dividing both sides by 2

The width is 470 feet
Now,

Hence,
The length of rectangular mosaic flag is 710 feet and width is 470 feet
Keywords: Perimeter, dimensions
Learn more about perimeter at:
#LearnwithBrainly
Answer:
None of the expression are equivalent to 
Step-by-step explanation:
Given

Required
Find its equivalents
We start by expanding the given expression

Expand 49


Using laws of indices: 


This implies that; each of the following options A,B and C must be equivalent to
or alternatively, 
A. 
Using law of indices which states;

Applying this law to the numerator; we have

Expand expression in bracket


Also; Using law of indices which states;

becomes

This is not equivalent to 
B. 
Expand numerator


Using law of indices which states;

Applying this law to the numerator; we have


Also; Using law of indices which states;

= 
This is also not equivalent to 
C. 



Using law of indices which states;


This is also not equivalent to 
The square root of 25/9 is 5/3
Step-by-step explanation:
log2x = 1 - log(x+4)
log2x = log10 - log(x+4)
log2x = log[10/(x+4)]
2x = 10/(x+4)
2x(x+4) = 10
2x² + 8x - 10 = 0
÷2 both sides of equation
x² + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5, 1
x isn't be -5 because logA, A need to be > 0
So, x value is 1