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serg [7]
3 years ago
15

Question

Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

Answer:

y=-1/5x-8/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-1))/(2-(-3))

m=(-2+1)/(2+3)

m=-1/5

y-y1=m(x-x1)

y-(-1)=-1/5(x-(-3))

y+1=-1/5(x+3)

y=-1/5x-3/5-1

y=-1/5x-3/5-5/5

y=-1/5x-8/5

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Make sure all solutions are in lowest terms. 5/6 • 1/3
stiks02 [169]
1/3=2/6
5/6x2/6= 10/36
10/36 simplified is 5/18
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3 years ago
a farmer is buying fencing to surround a square field of area 3600m^2. What length of fencing does he need to buy?
kirill115 [55]

Answer:

240 m

Step-by-step explanation:

The area of a square field is 3600 m².

We need to find the length of fencing he needs to buy. It means we need to find the perimeter of the field.

The area of a square field is given by :

A = side²

So,

s=\sqrt{3600} \ m\\\\s=60\ m

Length of fencing = perimeter

= 4(s)

= 4(60)

= 240 m

So, he would need to buy 240 m of fencing.

8 0
3 years ago
Arnold is trying to make packing boxes out of 6 foot by 6 foot pieces of cardboard from the local grocer. Help Arnold decide how
lions [1.4K]
<span>Part I: Determining Dimensions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with the same size variable cut from each corner.

*You don't have to draw one, just explain what it would look like*


Answer:

Base of the box:

     it is a square
     side of the base = 6 foot - x - x. = 6 - 2x

Height of the box: x

Part II: Analyze

How does each variable expression relate to the length, width, and height of the box when folded?

Answer:

length = width = 6 - 2x
height = x


Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.

Answer:

Volume = area of the base × height


Volume = (6 - 2x)² x

b. Expand the product to write a volume function.

Answer:

Volume = (36 - 24x + 4x²)x

Volume = 36x - 24x² + 4x³


c. What domain makes sense for the volume?

Answer:

Since x is a physical dimension x is greater than 0

Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3

So, the domain is (0, 3)


d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*

Answer:

x              </span>Volume = 36x - 24x² + 4x³

0.1           36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5           36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0           36 - 24 + 4 = 16
1.5           36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0           36(2) - 24(2)² + 4(2)³ = 8
1.7           36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2           36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55

Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9

7 0
3 years ago
a man takes 20 steps to cover a distance of 18 metre how many steps will he needto take to cover a distance of 396 m​
Ivenika [448]

Answer:

440 steps

Step-by-step explanation:

396 divided by 18 is 22

22 times 20 is 440

(I could be wrong )

5 0
2 years ago
Answer the following questions. When you are finished, submit this assignment to your teacher by the due date for full credit.
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