4 * (25 * 1.2) = (4 * 25) * 1.2
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
Answer:
(i)
shifted left side by 5 units
(ii)
vertically stretch by 3 units
(iii)
shifted vertically downward by 2 units
Step-by-step explanation:
we are given
we can also write as
we can factor out 9
Firstly, we will identify parent function
step-1:
We can see that there is x+5 in place of x
so, f(x) will be shifted left side by 5 units
step-2:
3 is multiplied to sqrt
so, it is vertically stretch by 3 units
step-3:
-2 is added to y-value
so, it is shifted vertically downward by 2 units
Graph:
f(x) = 5x is linear. Just a straight line with a slope of +5. So if the intervals are both a difference of 1, then the average rate of change will be the same.
f(x2) - f(x1) over x2 - x1. That's the formula for average rate of change.
So for Section A:
f(x) = 5x, (0,1)
[f(1) - f(0)]/(1-0)
= [5(1) - 5(0)]/1
=(5)/1
=5
Do the same for section B and you'll get 5 as well.
I hope this helps you because I have no clue if my answer is right
