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Svetradugi [14.3K]
3 years ago
14

Slope = ; y-intercept = -3

Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Question is incomplete Let assume the Slope = 2

Answer:

Therefore the Equation of line is

y=2x -3

Step-by-step explanation:

Given:

Slope = 2 ( Assumption )

y-intercept = -3

To Find:

Equation of Line in Slope-intercept form

Solution:

Equation of Line in Slope-intercept Form is given as

y=mx+c

Where,

m=Slope\\c=y-intercept

So, substituting Slope =2 and y-intercept = -3 in above we get

y=2\times x -3 Which is the Required Equation of line

Therefore the Equation of line is

y=2x -3

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KonstantinChe [14]

Answer:

x^{2} + 3x^{3} + 4x^{2} - 6x + 5

Step-by-step explanation:

first remove the parentheses

then add the like terms

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3 years ago
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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+
tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

h(t) = -16t^{2} + 72t + 100

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

h(t) = -16t^{2} + 72t + 100

-16t^{2} + 72t + 100 = 0

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16t^{2} - 72t - 100 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

16t^{2} - 72t - 100 = 0

So

a = 16, b = -72, c = -100

\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584

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Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

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