All categories

2 years ago

the perimeter of a rectangular field is (16a+8b-6c) units and one of its side is (5a+3b-4c) find the other side

Mathematics

1 answer:

Jet001 [13]2 years ago

7 0

3a+b+c

The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.

So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:

16a+8b-6c - 2*(5a+3b-4c) =

16a+8b-6c -10a-6b+8c =

6a+2b+2c

half of that is

(6a+2b+2c)/2 = 3a+b+c

You might be interested in

What number makes the equation true?<br> 4= 36 :<br> PLZZZZZ HELP

babymother [125]

Answer:

9x4=36

Step-by-step explanation:

8 0

3 years ago

What is KN + IK?<br> !it’s not 1!

sergiy2304 [10]

The answer is 6, K-N is 4, and I-K is 2, and as we all know, 4+2=6

6 0

2 years ago

HELP! This needs to be answered ASAP!

andriy [413]

Answer:

it will take 4 hours( I'm not so sure)

Step-by-step explanation:

$25x $15

------- = ------------- + 75

1h. 1h

25x = 100

x =100/25

x = 4

8 0

2 years ago

What do the differences between the equation of a

EastWind [94]

Answer:

it tells u what color

Step-by-step explanation:

8 0

2 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago