Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32

Step-by-step explanation:
Let's pick two points on the line:
and
Let's calculate the slope of this line using these points:

With this value of the slope, we can write the general slope-intercept form of the equation as

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

Therefore, the slope-intercept form of the equation is

So you start of by finding the median. The median in this case would be 43. Then you find the median of both the lower (36) and the upper (53) half of the data. Then the find the difference between those two number. So you would do 53-36 which would make the answer 17
Perform indicated multiplication on left side first...
-5x-35<-10 add 35 to both sides
-5x<25 divide both sides by -5 (you must reverse sign because of division by a negative value too!)
x>5 or if you prefer...
x=(5, +oo)