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Genrish500 [490]
3 years ago
11

The slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point.​

Mathematics
2 answers:
omeli [17]3 years ago
5 0

Answer:

y+9=-1(x-4)

Step-by-step explanation:

Point Slope Form is:

y-y_1=m(x-x_1)

When:

'm' is the slope.

(x_1,y_1) is the coordinate.

We are given the slope of -1 and the coordinate of (4,-9).

So:

m=-1\\x_1=4\\y_1=-9

Using the information and replacing the values we get:

y+9=-1(x-4)

So, the line equation in point slope form should be: y+9=-1(x-4)

<em>Brainilest Appreciated. </em>

lakkis [162]3 years ago
3 0

Answer:

Step-by-step explanation:

-9 = -1 x 4

-9 = -4

=5

y = -x + 5

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Slope of y-10=3(x-2)<br> And the point that the line crosses
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Answer:

slope = 3. The line crosses through many points, one of which is (0,4)

Step-by-step explanation:

y = 3x + 4

7 0
2 years ago
Giving brainliest!!! HELP PLEASE! I can send money also if you can do it for me.
Angelina_Jolie [31]

Answer:

(-4,1)

Step-by-step explanation:

The solution of these two linear equations in where the two lines meet. This means that when plugged into equation the x ( in this case -4) would allow you to get y = 2 (which is the y). Hope this helped you as I know the answer and if you want refinement.

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3 years ago
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A mover is loading an elevator with many identical 48-pound boxes.
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b

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Describe the slope of the line<br><br> Find the slope.<br><br> m =
spin [16.1K]

Answer:

m = -3/5

Step-by-step explanation:

Since the line is going downwards towards the right, it is a negative slope.

We can use the points to solve for the slope.

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

m = -2 - 1 / 2 + 3

m = -3/5

Therefore, the slope is -3/5.

4 0
3 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

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