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Olegator [25]
3 years ago
8

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
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Can someone help me with this
ratelena [41]
0.4 grams or 0.40 grams however you like writing decimals, but either way they are both the same.
8 0
3 years ago
Read 2 more answers
The sum of two consecutive integers is less than 55 the pair of integers with the greatest sum are 26 27
gayaneshka [121]

Answer:

28

Step-by-step explanation:

Let first integer = x

so second integer = x + 1

according to question we get the equation,,,,

(x) + (x + 1) < 55

x + x + 1 < 55

2x + 1 < 55

subtract 1 from both sides ,we get

2x < 54

divide both sides by 2 we get ......

x < 27

1st integer = x and x < 27

also as we need sum of integer with greates sum so we take x = 26

and 2nd integer = x+1

= 27 + 1

= 28

now if you add both the integers you get sum = 54 which is less than 55 and so this verify you second condtion also .......

hope this will help you

Please feel free to revert back for any further queries.

3 0
3 years ago
Jack and Jill are trying to find the slope of a line segment connecting two points, (x1, y1) and (x2, y2). Jack uses the formula
Nikolay [14]
The correct question is
<span>Jack and Jill are trying to find the slope of a line segment connecting two points, (x1, y1) and (x2, y2). Jack uses the formula m = (y2 - y1)/( x2 - x1) . Jill mistakenly uses a different formula, but still gets the right answer. Which formula COULD she have used? A) (x2 - x1)/( y2 - y1) B) (y1 - y2)/( x1 - x2) C) (x1 - x2)/( y2 - y1) D) (y2 - y1)/( x1 - x2)

we know that

the correct formula to calculate the slope is
m=(y2-y1)/(x2-x1)
then 
</span><span>if both numerator and denominator multiply it by -1
</span>
m=-(y2-y1)/-(x2-x1)---------> m=[-y2+y1]/[-x2+x1]
m=[y1-y2]/[x1-x2]

therefore

the answer is the option 
B) (y1 - y2)/( x1 - x2)

4 0
3 years ago
13x + 2 = 41<br> List the steps to fom 13x + 2
KonstantinChe [14]

Answer: 13x + 2 = 41 = 3

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

13x+2−2=41−2

13x=39

Step 2: Divide both sides by 13.

13x

13

=

39

13

x=3

6 0
3 years ago
HELPPPPP!!!!!!!!!!
nikklg [1K]
I think the answer is d.
You have to plug the numbers into the equation.

5(4) - 2(3) = 14
20 - 6 = 14
3(4) + 2(3) = 18
12 + 6 = 18

The point (4, 3) fits both equations.


8 0
3 years ago
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