Answer:
P(x) = -5(x² - 12)² + 405
Step-by-step explanation:
P(x) = -5x² + 120x - 315
Factor out -5 from the first two terms
P(x) = -5(x² - 24x) - 315
Complete the square
P(x) = -5(x - 12)² - (-5(-12)²) -315
P(x) = -5(x - 12)² + 720 - 315
P(x) = -5(x - 12)² + 405
Answer:
Perpendicular
Skew
Parallel
Step-by-step explanation:
First one : the lines intersect and they form right angles
The second one : they don't intersect and appear on separate planes
The last : they are both sides of a rectangle on the same plane
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so
- The length of the fencing is 80 meters, so
Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:
Then substitute for y in the first:
b) To maximize A, find the zero of the first derivative:
So y = (80-40)/2 = 20 meters.
The answer to your question is 130.
0.2(6x+1)/3.6=0.5x/9
Solution
(1.2x + 0.2)/3.6 = 0.5x/9
Cross multiplying, we get
9(1.2x + 0.2) = 3.6 * 0.5x
10.8x + 1.8 = 1.8x
10.8x - 1,8x = -1.8
9x = -1.8
Dividing both sides by 9, we get
x = - 0.2
That's the answer.
Thank you.
