3. Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0-4).

Mathematics

1 answer:

ch4aika [34]2 years ago

5 0

Step-by-step explanation:

y=5(x+1/5)² -36/5

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The slope of the line is -1

Step-by-step explanation:

Slope of a Line

Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

From the table in the image, we select the points (1,4) (3,2). The slope is:

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Following the same procedure with any other pair of points, we'll get the very same result:

The slope of the line is -1

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#1. Which is equal to z3 8? A. (z - 2)(z^2 - 2z - 4). B. (z + 2)(z^2 - 2z + 4) C.(z - 2)(z^2+ 2z + 4). D. (z + 2)(z^2+ 2z - 4) #

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#1. B
(z * z^2 + z * 2z + z * 4) – (-2 *z^2 – (-2) 2z – (-2) 4)
Z^3 + 2z^2 + 4z – 2z^2 -4z – 8
Z^3 + 2z^2 – 2z^2 + 4z – 4z – 8
Z^3 - 8

#2 and #3. D
(x + y)(x + 2)
x^2 + 2x + yx + 2y

#4. D.
(x - 7)(x + 7)(x- 2)
x^2 + 7x – 7x -49
x^2 + x – 49
x^2 -49
(x^2 – 49 ) (x – 2)
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#5. C
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y = 4
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x = -3

#6. A and B

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