the local maximum is at x = -2.2 and has a value of 72.576
Answer:

Step-by-step explanation:
Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.
Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.
Let h represent the length of the hypotenuse.

The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!
Answer:
-2
Step-by-step explanation:

Therefore, the average rate of change over the interval [-4,-1] is -2.
Answer:
x=21
Step-by-step explanation:
subtract 6 from both sides get -1/3x=-7
multiply -1/3 or -1/3 as decimal times -7
and get x=21
If brainiest is earned its greatly appreciated. :)
Answer:
x =
y²
Step-by-step explanation:
Any point (x, y ) on the parabola is equidistant from the focus and the directrix
Using the distance formula, then
= | x + 3 |
Squaring both sides
(x - 3)² + y² = (x + 3)² ← expanding both sides
x² - 6x + 9 + y² = x² + 6x + 9 ← subtract x² + 6x + 9 from both sides
- 12x + y² = 0 ( subtract y² from both sides )
- 12x = - y² ( divide both sides by - 12 )
x =
y²