Find the slope of the line

There is enough fencing to surround the dog's play yard. The yard must have a perimeter of n more than 38 feet. The length of th

Ierofanga [76]

Answer:

Step-by-step explanation:

Let y = length of side parallel to the side with no fence

x = length of each of the other two sides

Then, y+2x = 64. So, y = 64-2x

Area = A = xy = x(64-2x)

The graph of the area function is a parabola opening downward with a highest point and with x-intercepts (0,0) and (32,0).

By the symmetry of the parabola, the x-coordinate of the maximum point lies halfway between the x-intercepts.

So, the area is maximized when x = 16 ft

y = 64 - 2x = 32 ft

Maximum area = xy = (16)(32) = 512 ft2

To maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.

Upvote

•

2

Downvote

Add comment

Long N. answered • 10/06/16

TUTOR 4.5 (4)

Years of Tutoring Calculus, Algebra, Statistics, Finance and SAT Prep

SEE TUTORS LIKE THIS

For the fixed given perimeter, the maximum area which can be obtained is a square.

So for 3 sides= 64 feet

one side = 64/3

The maximum area is 64/3*64/3 square feet

4 0

2 years ago

What is the correct order of steps for bisecting angle ABC?

Marizza181 [45]

The correct order for bisecting angle ABC is F D E B C A. Option D

<h3>Steps in bisecting angles</h3>

The steps involved in bisecting angles are;

Place compass point on the vertex of the angle (point B).
Stretch the compass to any length that will stay OF the angle
Swing an arc so the pencil crosses both sides (rays) of the given angle. You should now have two intersection points with the sides (rays) of the angle
Place the compass point on one of these new intersection points on the sides of the angle. Stretch the compass to a sufficient length to place your pencil well into the interior of the angle, this should be within the rays of the angle
Place an arc in this interior
Without changing the span on the compass, place the point of the compass on the other intersection point on the side of the angle and make a similar arc. The two small arcs in the interior of the angle should be intersecting
Connect the vertex of the angle (point B) to this intersection of the two small arcs

From the listed steps, the correct order for bisecting angle ABC is F D E B C A. Option D

Learn more about bisectors here:

brainly.com/question/11006922

#SPJ1

8 0

1 year ago

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$