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andreyandreev [35.5K]
3 years ago
7

Find the value of d such that the system of equations 15x + 10y=-11 and -9x+DT=-19

Mathematics
1 answer:
pychu [463]3 years ago
5 0

Answer:

It Is Correct Answer. kdkd

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A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci
sveta [45]

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

3 0
3 years ago
Is 38/58 in simplest form? Explain why or why not. If not, write it in simplest form
Fofino [41]

Both 38 and 58 are even so they both can be divided by 2,

38/58

19/29

that is in the simplest form

6 0
3 years ago
Read 2 more answers
Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level . What was the change in her elevation?
Ugo [173]

Answer:

86 ft

Step-by-step explanation:

<em>First method: Logical thinking</em>

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

<em>Second method: Calculate a distance in math</em>

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

|52 - (-34)| = |52 + 34| = |86| = 86

Answer: 86 ft

4 0
3 years ago
A box of coins contains nickels, dimes and quarters. The value of the coins is $4.00. If there were 3 times as many nickels, hal
frez [133]

Step-by-step explanation:

s ks ok w merto s mak osmwokwmsos

8 0
3 years ago
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An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Semenov [28]
t_{n}=t_{n-1}+78
7 0
3 years ago
Read 2 more answers
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