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sleet_krkn [62]
2 years ago
8

Attached screenshot please help

Mathematics
1 answer:
lora16 [44]2 years ago
8 0

Answer:

drawing project?

Step-by-step explanation:

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On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th
Novay_Z [31]

Answer:

y=3x-5

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

m=(1-2)/(0+3)=-1/3

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

so

The slope is

m=3

step 3

Find the equation of the line in point slope form

we have

m=3

point(3,4)

y-4=3(x-3) ----> equation in point slope form

Convert to slope intercept form

y=3x-9+4

y=3x-5

6 0
3 years ago
Read 2 more answers
According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi
Pepsi [2]
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
  V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
  dV/dx = 0 = -12x² +2dx
  0 = -2x(6x -d)
This has solutions
  x = 0, x = d/6

a) The largest possible volume is
  (d/6)²(d -4d/6) = 2(d/6)³
  = 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
  d/6 = 18 inches square by
  d -4d/6 = d/3 = 36 inches long

8 0
3 years ago
A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
1 year ago
Please help my<br> home work is due tomorrow
bekas [8.4K]
Why is everything due tomorrow xD. Also im sorry but I dont understand this either.
5 0
3 years ago
What is the area of triangle GHJ
EastWind [94]
A = 1/2 bh = 1/2 (3)(4) = 12/2 = 6

answer is B. 6 square units
4 0
3 years ago
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