Answer:

Step-by-step explanation:
Given
Co ordinates of vertices(1,-6) and (-8,-6)
When two points is given then Length of two points is given by



Perimeter of rectangle is =26 units
Let the other side be x
thus

x+9=13
x=4 units
therefore to get the other two co ordinates
such that the length of that side is 4 units is


Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates
To verify the above two distance between two points must be 13 units
Answer:
Step-by-step explanation:

I hope I helped you.
Answer:
x<-8 or x>1/5
Step-by-step explanation:

First we replace > symbol by = sign

To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality

1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality

-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality

10/9>0 is true , x>1/5 satisfies our inequality
7 .is 9 to the power of 8,number 8 is 5,number 9 is 5m^2n
Consider the system of inequalities

1. Plot all lines that are determined by equalities (see attached diagram)

2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);- for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line. - for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.