When one side of a quadrilateral is not to be fenced (ex. a river, as in this case), the optimal fencing to maximize the area is always to use half the fencing for the length, and one-fourth for each of the two widths
A) For 1000 ft of fencing which is to be used to cover 1 length and 2 widths:
L = 1000/2 = 500, and W = 1000/4 = 250. The optimal dimensions will be 250 x 500 ft.
B) This will result in an area of 250*500 = 125,000 sq. ft.
I guess the parent function to be: y = |8x|.
To translate a function m units to the right, you must substitute x by x-m. You had y = |8x|. You substitute x by x-1/4, to get:
y = |8(x-1/4)| = |8x-2|
So, the function was translated to the right 1/4 unit.
To translate a function vertically n units, you add (translate up) or subtract (translate down) m to the function. You had y = |8x-2|. You subtract 7 to get:
y = |8x-2|-7
Hence, the parent function was translated 7 units down.
The vertex is the point where the content of the absolute value changes its sign, that is, the where it equals zero:
8x-2 = 0 <=> x=1/4
The x coordinate of the vertex is therefore x=1/4. To calculate the y coordinate of the vertex, you must substitute the x coordinate in the equation of the function, to get:
x=1/4 => y = |8(1/4)-2| - 7 = -7
The vertex is, therefore, (1/4,-7).
Finally, the axis of symmetry is a vertical line through the vertex: x=1/4 (the equation of a vertical line is of the form x=a).
The correct answer is D).
Answer:
The answer is 12.
Step-by-step explanation:
So one side is 1.5 in. and you need the surface area, just think about it like this there are 6 squares and each has 4 sides correct, so you multiply 1.5 x 4 which that equals 6. So the surface area of one square is 6. There are 6 squares so just multiply 6 by 6 and you have 12. The answer is 12.
Answer:
y <= -2x + 1
Step-by-step explanation:
The one that is selected is correct.
Answer:
Angle b = 20
Angle c = 160
Step-by-step explanation:
You know this because angle b corresponds with the other 20 degree angle. A line equals 180 so therefore 180-20 = 160.
I really hope this helped
