Answer:
Step-by-step explanation:
Answer:
Line B
Step-by-step explanation:
- Automatically, we can eliminate Line C, because the slope is negative, since the question's asking which one is the greatest slope. However, if you do want to find the slope of Line C, you can use the rise/run method or the slope formula. Using the coordinate sets (0, 0) and (1, -2) and applying y2-y1/x2-x1 = -2-0/1-0 = -2/1 = -2.
- Line A's slope is 1/2. You can either find this out by applying the rise/run formula (rise = 1, run = 2) or you can find 2 coordinate sets to solve for slope. In this case, I'll use (0, 0) and (2, 1). Using the formula y2-y1/x2-x1... 1-0/2-0 = 1/2.
- Line B's slope is 2. As stated in Line A, you can find this by applying the rise/run formula or using 2 coordinate sets. I'll use the points (0, 0) and (1, 2). Using the formula y2-y1/x2-x1... 2-0/1-0 = 2/1 = 2.
Since the question is asking which line has the greatest slope, the line that has the greatest slope would be Line B. (2 > 1/2 > -2)
Hope this helps but I think the answer is that it goes having 15 possible combinations to now having 18 possible combinations.
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Answer:
A(x) = -2/5x^2 +200x
Step-by-step explanation:
There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...
5y +2x = 1000
Then the value of y is ...
y = (1000 -2x)/5
The area is the product of x and y:
A(x) = xy
A(x) = x(1000 -2x)/5
A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area
In standard form, the equation is ...
A(x) = -2/5x^2 +200x
