Answer:
y = x^2 (x - 2) = x^3 - 2 x^2
dy/dx = 3 x^2 - 4 x
At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve
Answer:
130/l in where l is the length of the rectangle
Step-by-step explanation:
The formula for area of a rectangle is length by width where the width is the height of the rectangle
Given that area=130 in²
Lets assume the length of this rectangle is =l inches
Then ;
A=l*w
130 =l*w
130/l = w
130/l in = height
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
<em>When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.</em>
Here are reflection and rotation rules for coordinates. If you look at y=x and the one for 180 degrees you'll see the difference. It's hard to remember it but just study it and you'll be fine. :)
