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Otrada [13]
2 years ago
7

Okie help help math math math

Mathematics
1 answer:
liraira [26]2 years ago
3 0

Answer:

\displaystyle y = -3x + 9

Step-by-step explanation:

First, find the <em>rate of change</em> of the line:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}

I am joyous to assist you at any time.

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A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is
Xelga [282]

Answer:

In vertex form the equation is y=-\frac{1}{2}(x-2)^2+2

In standard form the equation is y=-\frac{1}{2}x^2+2x

Step-by-step explanation:

The equation of the directrix tells us that this is an x-squared parabola.  Because the directrix is above the vertex, the parabola will open downward.  The vertex form of this equation is:

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where p is the number of units between the directrix and the vertex.  The number of units here is .5 or 1/2.  Filling in the coordinates of the vertex and the p value of 1/2:

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Simplifying we have:

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Add 2 to both sides to get the final vertex form:

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If you want that in standard form, you first need to expand the squared term to get:

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Order of operations tells us that we have to distribute in the -1/2 first to get:

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There is a 3 out of 9 chance the first time because there are 3 - $5 dollar bills, and 9 total bills.

The second time there will be a 2 out of 8 chance, because if you picked a $5 dollar bill the first time, there should be 2 - $5 bills left and 8 total bills.

3/9 x 2/8 or 1/3 x 1/4 = 1/12 chance.
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3 years ago
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