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2 years ago

Which equation is y = 9x^2 + 9x – 1 rewritten in vertex form

2 answers:

6 0

Vertex form equation
y = a(x - h)² + k

We need to solve it by completing quadratic form
To complete the quadratic form, multiply the equation by 4. We multiply it by 4 so the coefficient of x² is in complete quadratic form and the coefficient of x is an even number.
y = 9x² + 9x - 1
--------------------- (multiply 4)
4y = 36x² + 36x - 4

Change the quadratic expression into complete quadratic form
Add +9 to the both side
4y = 36x² + 36x - 4
4y + 9 = 36x² + 36x + 9 - 4
4y + 9 = (6x + 3)² - 4
4y = (6x + 3)² - 4 - 9
4y = (6x + 3)² - 13
------------------------------ divide by 4
$y = \frac{1}{4} (6x+3)^{2}- \frac{13}{4}$

user100 [1]2 years ago

3 0

You have to solve for 9x first

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A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex

MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is $x=p$

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$(p,a)\ (p,-a)$

Substitute the values

$m=\frac{-a-a}{p-p}$

$m=\frac{-2a}{0}$ -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

$x=p$

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

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The density of an object can be found by taking its mass and dividing by its volume. Write an equation to represent the relation

prisoha [69]

Answer:

Step-by-step explanation:

The density of an object can be found by taking its mass and dividing by its volume.

Hence if density is D , Mass is M and Volume is V

$D=\frac{M}{V}$