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Zielflug [23.3K]
3 years ago
6

Solve y = -1/2x + 6 create an equation of a line parallel and perpendicular to this line that goes

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

y = -½x + 12; y = 2x + 2

Step-by-step explanation:

1. <em>Solve the equation </em>

y = -½x + 6

(a) Let x = 0

          y = -½(0) + 6

          y = 0 + 6

          y = 6

(b) Let y = 0

          0 = -½x + 6     Subtract 6 from each side

         -6 = -½x             Multiply each side by -2

          x = 12

The line passes through the points (0, 6) and (12, 0).

2. <em>Equation for parallel line </em>

The line passes through (4, 10).

 y = mx + b

m = -½

10 = -½(4) + b

10 = -2 + b     Add 1 to each side

b = 12

The equation for the parallel line is y = -½x + 12.

3. <em>Equation for perpendicular line </em>

(a). Find the <em>slope (m₁) of the original line </em>

The equation for the original line is

       y = -½x + 6

slope = m₁ = -½

(b). Find the<em> slope (m₂) of the perpendicular line </em>

m₂ = -1/m₁     Substitute the value of m₁

m₂ =   2

(c). Find the <em>equation for the perpendicular line </em>

y = mx + b     Substitute the value of m₂

y = 2x + b

The line passes through (4,10).  

10 = 2 × 4 + b

10 = 8 + b     Subtract 8 from each side

b = 2  

y = 2x + 2

In the image, below, the red line is the graph of your original equation.

The green line passing through (4, 10) is the parallel line.

The black line passing through (4, 10) is the perpendicular line.

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Solve the equation step by step in form of rational and irrational numbers<br>x^2=144
Blababa [14]
X^2=144
12^2=144
x=12 or -12


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3 years ago
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Answer:

0.36427

Step-by-step explanation:

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P(X < 20) = 0.65092

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P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

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3 years ago
The ratio of the numerator and denominator of a rational number is 2 : 7 and
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Answer:

6/21.

Step-by-step explanation:

let the rational number be 2x/7x.

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Cross multiply:

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38x + 76 = 70x - 20

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x = 3.

So the rational number is  2*3/ 7*3

= 6/21.

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Answer:

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Answer:

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