Step-by-step explanation:
gradient = slope or several other words.
it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.
it is represented by the ratio
(y coordinate change / x coordinate change)
when going from one point on the line to another.
in our case, when going from A to B we have
x changes by -2k (from 3k to k).
y changes by -11 (from 8 to -3).
so, the gradient or slope is
-11/-2k = 3
11/2k = 3
11 = 3×2k = 6k
k = 11/6
A = (33/6, 8) = (11/2, 8)
B = (11/6, -3)
6 goes into 31 5 times which is 30 so the answer would be 5 1/6
Answer:
Step-by-step explanation:
We have the function:
And we want to find:
So, we will differentiate function <em>h</em>. By the chain rule, this yields:
Then it follows that:
Using the table, we acquire:
And using the table again, we acquire:
Evaluate. Hence:
The rectangle maximum area will be A=9 square units with the length=3 and the width=3.
<h3>What is area of rectangle?</h3>
Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.
It is given that the perimeter of rectangle is P=12
So from the formula of perimeter of rectangle
2(L+W)=12
L+W=6
L=6-W
Now the area of rectangle will be
A=LxW
A=(6-W)W
Now for maximum area we will find the derivative and equate to zero.
So the area will be
Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.
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