Answer:
n < -10
Step-by-step explanation:
n+7 < -3
subtract 7 from both sides
n+7-7 < -3-7
n < -10
Answer:
B. Perimeter of a square and
C. Side length of a square
Step-by-step explanation:
if n= side length of square then
- Area of square is

- Perimeter of a square is 4×n
- diagonal length of a square is
× n
Thus,
Perimeter of square can be expressed as
×diagonal length of a square
Side length of a square can be expressed as
×diagonal length of a square
but Area of square is
×n×diagonal length of a square
As a Result, Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>
we have that
*-------------------------*--------------------------------*
E F G
EF=2x-12
FG= 3x-15
EG=23
we know that
EF + FG = EG
so
[2x - 12] + [3x - 15] = 23 simplify
5x - 27 = 23 add 27 to both sides
5x = 50 divide both sides by 5
x = 10
EF=2x-12-------> EF=2*10-12-------> EF=8
FG= 3x-15------> FG=3*10-15------> FG=15
therefore
the answer part a) is
the value of x is 10
the answer part b) is
the value of EF is 8
the answer part c) is
the value of FG is 15
The solution is the point where the two lines intersect (are equal) so y=y and we can say:
6-x=-10-x upon adding x to both sides:
6=-10
This is never true so there is no solution to this system of equations. And for this to be true the two lines must be parallel and have different y-intercepts...