Answer:
The dimensions of the piece of metal can be represented by x and x+10.
Now, 2 in squares are being cut out of each corner.
So the new dimensions are x-4 (2in from each side) and x+10-4 or x+6.
When you fold it up, the height becomes 2 and the base has dimensions x-4 and x+6. Now plug this into the volume formula.
V=l*w*h
1302 = (x+6)(x-4)(2)
651 = x2+2x-24
0 = x2 + 2x-675
0 = (x+27)(x-25)
x=-27 reject since lengths cannot be negative or x=25.
So your original dimension for the piece of metal are 25 by 35.
Step-by-step explanation:
The slope of the line is: m=(5-0)/(-3-2)=-1
y=-x+b
find out b by using a point: 0=-2+b, b=2
so the equation of the line is y=-x+2
it is dotted, so they should be an equal sign.
the shaded part is to the right, above the line, so it is a >
the inequality is y>-x+2
1 revolution = 360 degrees
360 degrees x 90 revolutions per minute = 32,400 degrees per minute.
1 minute = 60 seconds.
32,400 degrees per minute / 60 seconds = 540 degrees per second.
F(x) = 6x^2 + 3x - 6
The derivative, and thus the slope of the T. L. to the graph, is f '(x) = 12x + 3. Set this result = to -3 and solve for x:
12x + 3 = -3 => 12x = - 6 and x = -1/2
6 + 6 - 24
If x = -1/2, y = f(-1/2) = 6(1/4) - 3(-1/2) - 6 = ----------------- = -6
4
The slope of the T. L. to the graph will be -3 at the point (-1/2, -6).
Answer:
-6 or -6/1 or down 6 to the right 1
Step-by-step explanation:
