Answer:
1.5m
Step-by-step explanation:
Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.
The new area thus becomes:
(12+2x)(16+2x) = 285
24x + 32x + 192 + 4x^2 = 285
4x^2 + 56x + 192 = 285
4x^2 + 56x + 192 - 285 =0
4x^2 + 56x -93 = 0
4x^2 + 62x - 6x - 93 = 0
2x( 2x + 31) - 3(2x + 31) = 0
(2x - 3)(2x + 31) = 0
This means x = 3/2 or -31/2
Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters
Answer:
1). Option (3)
2). Option (D)
Step-by-step explanation:
1). Integers are the numbers which are whole numbers with negative or positive notations.
Integers can't be a fraction or a number with decimal.
Out of the numbers given,
-18 and 4 will be the integers
Option (3) is the correct answer.
2). Shaded portion of the diagram represents the rational numbers excluding integers,
By the definition of the rational numbers, any number which can be written as a fraction is a rational number.
Rational numbers → All numbers given are the rational numbers
Integers → 
Therefore, only one number
will lie in the shaded region.
Option (D) will be the answer.
The function plotted looks like

which is going to have many things in common with g(x).
Both graphs increase... CHECK
Same x intercept. Yes, log(1)=0 in every base. CHECK
No y intercept; log(0) is always undefined. CHECK
Neither has a vertical asymptote. No, the y axis, x=0, is the vertical asymptote for both functions. FALSE, no check
Both graphs have a horizontal asymptote. No, both functions are slowly growing but grow without bound. FALSE, no check
5n+11=46
5n=35 (subtract 11 from both sides)
n=7 (divide both sides by 5)
I’m sorry I do not know the other person was rude