There is no greatest perimeter. The longer and skinnier you make the rectangle,
the greater its perimeter will become, while the area remains the same.
Example:
6-ft by 6.5-ft .. . . area = 39 sq ft, perimeter = 25 ft
3-ft by 13-ft . . . . area = 39 sq ft, perimeter = 32 ft
1-ft by 39-ft . . . . area = 39 sq ft, perimeter = 80 ft
0.1-ft by 390-ft . . area = 39 sq ft, perimeter = 780.2 ft.
No matter how great the perimeter of the rectangle is, it can always be made
greater, while keeping the same area.
Answer:
54698
Step-by-step explanation:
6-0
7-9
358/568-6546/547
4.3 because 5 rounds up, and 25 rounds to 30.
Hello,
Slope is rise/run, or y/x, and if you are given two pairs of points, this is the equation needed: (y2-y1) over (x2-x1).
Let me plug in the numbers: (4-(-2) over 5-(-3). And that is 6/8, which then is simplified to 3/4. So the slope of those two given points is 3/4. We do not divide or simplify it into a decimal because slope is a fraction, so we leave 3/4 as it is.
Hope this helps, and that my explanation is not too confusing!
May
Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2
This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that
g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2
So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).
Here's proof of both claims
-----------------------------------------
Proof of Claim 1:
f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6
-----------------------------------------
Proof of Claim 2:
h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
