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ludmilkaskok [199]
3 years ago
13

the distance from the origin to point p is 5 units. give the coordinates of four possible locations for point p

Mathematics
1 answer:
yan [13]3 years ago
4 0
All I can think of is (5,0) (0,5)
Hopefully it helps.
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a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th
Nat2105 [25]

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

#SPJ4

6 0
1 year ago
A square base a side length of x+3. What is its area
zepelin [54]
Well it would be (x+3)(x+3)
using the FOIL method you end up with:
x^2 + 6x + 9

:D
6 0
3 years ago
What is the sum of 6 4/5 and 6 4/5?<br> A. 12 4/5<br> B. 29/5<br> C. 0<br> D. -12 4/5
maw [93]

\bf6 \frac{4}{5}  + 6 \frac{4}{5}  =  (6 + 6) \frac{4}{5}  = 12 \frac{4}{5}

5 0
3 years ago
Read 2 more answers
An adult sleeps about 480 per day. In infant sleeps about 820 minutes per day. About how many more minutes does an infant sleep
AysviL [449]
(820*7)-(480*7)=? This is how to solve the equation

6 0
3 years ago
Zach is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certai
Alexandra [31]

Answer:

Zach earns $10 and for the pair of boots Zach earns $15

Step-by-step explanation:

Let be x the number of pairs of shoes

Let be y the number of pairs of boots

Then we can establish the following system of equations with the data of the statement:

5x + 9y = 185 \\7x + 9y = 205

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

7x+9y-5x-9y=205-185\\2x=20\\x=\frac{20}{2}\\x=10

For y replacing in the first equation the value of x and solving for y:

5.10 + 9y = 185\\9y=185-50\\y=\frac{135}{9}\\y=15

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15

Please mark be as brainliest if you found this helpful. please

7 0
2 years ago
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