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Oksi-84 [34.3K]
2 years ago
5

Find the distance between Line L and Point P if Line L contains the points

Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0

Answer:

  (b)  4.2

Step-by-step explanation:

The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.

We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...

  y = 2/3x

  3y = 2x

  2x -3y = 0 . . . . . . general form equation for the line through the points.

The formula for the distance from (x, y) to the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a²+b²)

The distance from (x, y) to our line is given by the formula ...

  d = |2x -3y|/√(2² +(-3)²)

  d = |2x -3y|/√13

For point P(9, 11), the distance to the line is ...

  d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2

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never [62]

Answer:

Lisa earned $247.50 for working 33 hours.

Step-by-step explanation:

WAY 1: proportional reasoning

7.50 x

------ = ----

1 h 33h

33 / 1 = 33

7.50 x 33 = 247.5

WAY 2: unit rate reasoning

7.50 per hour so x value of money for 33 h

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7 0
2 years ago
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X + 2y = 7<br> 3x - 2y = -3
VladimirAG [237]
Use Subtraction

1. Subtract
x+2y=7
3x-2y=-3
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4x+0y=4 SIMPLIFY 4x=4

2. DIVIDE

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4 0
3 years ago
The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
kicyunya [14]

we know that

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2 years ago
List of all numbers less than 30 are divisible by 8?
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Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .
fredd [130]

A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:

(x,y)→(y,-x).

Then:

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