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Oliga [24]
3 years ago
6

Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​

Mathematics
1 answer:
dedylja [7]3 years ago
7 0

Answer:

y  = \frac{1}{2}x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = \frac{1}{2}x + \frac{12}{2}

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is \frac{1}{2}

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - (\frac{1}{2} x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = \frac{1}{2}x - 2

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46 hours and 42 minutes

Step-by-step explanation:

2100/45 = 46.7

46 hours and 42 minutes

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2 years ago
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
oksano4ka [1.4K]

Answer: -1.0018*10^42

Step-by-step explanation:

The Euler Method in numerical analysis is used to approximate the solution to an initial value problem using the tangent line to the solution curve through the (x0,y0) to obtain such approximations.

The euler method equation is:

Yn+1 = Yn + h*f(Xn,Yn)

Where n = number of steps, h = Xn+1 - Xn, f(Xn,Yn) is the slope of the curve at (Xn,Yn).

Variables given in the equation

Y(X=0) = 9,

X0 = 0.

h = step = 0.2

f(X,Y) = X^2*Y - 12*Y^2

B

For the first step, n = 0 in the euler equation. Therefore we have:

Y1 = Y0 + h*f(X0,Y0)

Substituting the Y0 = 9 and X0 = 0 into the function f(X,Y) = X^2*Y - 12*Y^2 = 0^2*9 - 12*9^2 = -972.

Therefore Y1 = 9 + 0.2*(-972) = -185.4.

For n = 1

Repeating the same step with X1 = X0 + h = 0 + 0.2 = 0.2,

Y1 = -185.4,

h = 0.2.

Substitute the variables into the equation Y2 = Y1 + h*f(X1,Y1) and f(X1,Y1) = X1^2*Y1 - 12*Y1^2

Y2 = -82682.4672.

Continue the iterations following the steps above till the result is reached.

The summary of the iteration.

When n = 0, X = 0, Y = -185.4

When n = 1 , X = 0.2, Y = -82682.4672

When n = 2 , X = 0.4, Y = -1.6407*10^10

When n = 3, X = 0.6, Y = -6.4609*10^20

When n = 4, X = 0.8, Y = -1.0018*10^42

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2 years ago
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Answer:

35x+5=10

Step-by-step explanation:

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2 years ago
15 + 45 = 5( blank + 9)
Tatiana [17]

Answer:

Step-by-step explanation:

15 + 45 = 5( _ + 9)

60 = 5 ( 3 + 9)

60 = 5(12)

60 = 60

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2 years ago
Read 2 more answers
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