The length of the 3 sides
has a total dimension of 720 ft. One dimension, the length l, only has one side
enclosed. The other dimension, the width w, has 2 sides enclosed. So,
720 ft = l + 2w
Rearranging in terms of l:
l = 720 - 2w
Then the area equals
length times width, or:
A = (720-2w)(w) = 720w - 2w^2
To get the maximum area, we take the derivative of the Area
equation and set the derivative equal to 0: dA/dw = 0
dA/dw = 720 - 4w = 0
720 - 4w = 0
4w = 720
w = 180 ft
Calculating for l:
l = 720 – 2w
l = 720 – 2(180)
l = 360 ft
Therefore to get the
maximum enclosed area, the width (2 sides) should be 180 ft while the length (1
side) is 360 ft.<span>
</span>
Answer:
10q - 1
Step-by-step explanation:
For the right triangle shown in the picture, recall the trigonometric identity of the cosine function:
Isolate <em>a</em> from the equation:
Substitute for <em>c=6.3</em> and <em>B=43.8°</em>:
Use a calculator to evaluate the expression:
The y-axis runs vertically, so changing the y-coordinate moves a figure up or down. Adding a number to the y-coordinate shifts the image up, while subtracting a number shifts the figure down.
So to translate 3 units down, we just subtract 3 from the y-coordinate.
Instead of (-2, 1) it's now (-2, -2) since 1 - 3 (units) = -2
Now, another way to say "reflect across the y-axis" is to say "reflect across the line x=0" since the line created by graphing x=0 is the same as the y-axis.
An image that is a reflection across the y-axis, or across the line x=0, will have opposite x-coordinates from the pre-image but identical y-coordinates.
Therefore, the rule for reflecting an image across the y-axis can be described as (x, y) → (−x, y).
So using our translated point (-2, -2) it now becomes (2, -2).
You didn't provide an image, however, all you need to find is the translated and reflected point that lies on (2, -2).
Answer:
y = √(5x+34)
Step-by-step explanation:
The regression formula that matches a square root function to these points can be worked out by a suitable calculator. The attachments shows the points are matched exactly by the function ...
y = √(5x+34)
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If you would like to work this by hand, you can put the (x, y) point values into the proposed equation and see what the coefficients need to be:
y = √(ax +b)
7 = √(3a +b) ⇒ 49 = 3a +b
8 = √(6a +b) ⇒ 64 = 6a +b
Subtracting the first equation from the second, gives ...
(64) -(49) = (6a +b) -(3a +b)
15 = 3a ⇒ a = 5
49 = 3(5) +b ⇒ b = 34