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Ket [755]
3 years ago
5

You want to find the equation for a line that passes through the point (3,-4) and has a slope of -1/2.

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

y = -\frac{1}{2}x -\frac{5}{2}

Step-by-step explanation:

We are given;

  • A point where the line is passing through as (3, -4)
  • The slope of the line -1/2

We are required to determine the equation of the line;

  • Note that, one way we can get the equation of a straight line is when we are given a point where the line is passing through and its slope.
  • Thus, in this case, we can determine the equation;

Taking another point (x, y)

Then; (x, y) , ( 3, -4) and slope -1/2 can give us the equation;

That is;

\frac{y+4}{x-3}=-\frac{1}{2}

Cross multiplication;

2(y+4) = -1 (x-3)

2y + 8 = -x +3

Combining the like terms;

2y=-x-5\\y = -\frac{1}{2}x-\frac{5}{2}

Thus, the equation of the line is; y = -\frac{1}{2}x -\frac{5}{2}

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Troyanec [42]

Answer:

5.7 feet

Step-by-step explanation:

Total cloth area recquired to make a bag and a towel is 22.23 square feet

Given the area of the cloth recquired to make the bag is 5.13 square feet.

The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet

given the height of the towel = 3 feet

let the length of the towel be x

We know that area = length\times height

area=3x

3x=17.1\\x=5.7

therefore the length of the towel is 5.7 feet

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What is the value of the expression x-3y when x = 6 and y = 12
elena55 [62]

Answer:

-30

Step-by-step explanation:

  1. Plug in the values of x and y: 6 - 3(12)
  2. 3(12) = 3 × 12 = 36
  3. Plug 36 in: 6 - 36
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I hope this helps!

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