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oksano4ka [1.4K]
1 year ago
8

Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4)  use slope intercept form

Mathematics
1 answer:
Andrew [12]1 year ago
7 0

Writing the slope-intercept form of a linear equation, we have:

y=mx+b

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}

So our equation is:

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

y = 2/3x - 4

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Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v
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Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... <em>si cada uno de ellos hicieron una contribución de </em><em>dieciseis</em><em> pesos...</em>

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

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2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 =  $14.8, then they would get altogether the exact cost of the trip

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3 years ago
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Step-by-step explanation:

Using Pythagoras' identity in the right triangle

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