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4 years ago

X=75 Is it Slope Intercept Form,Point Slope Form,or Standard Form?

2 answers:

ioda4 years ago

7 0

Standard form
It is used to find vertical lines of a graph. Slope intercept form is
$y = mx + b$
and point slope form is
$y - y _{1} = m(x - x_{1})$

julia-pushkina [17]4 years ago

4 0

x = 75 is a special case of the equation of a straight line

the equation x = c , is a vertical line parallel to the y- axis and passing through all points in the plane with an x- coordinate equal to c

It is not usually described using any of the usual descriptions, namely

slope-intercept, point-slope or standard form

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3 years ago

Read 2 more answers

The graph of x^2=-2+y+5cosy is shown for y=11

erik [133]

(a)

We have been given an equation $x^{2}=-2+y+5cosy$ . Upon taking derivative of this equation with respect to x on both the sides, we get:

$2x=0+\frac{dy}{dx}+5(-siny)\frac{dy}{dx}\\2x=(1-5siny)\frac{dy}{dx}\Rightarrow \frac{dy}{dx}=\frac{2x}{1-5siny}$

(b)

In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

$\text{Slope}=\frac{dy}{dx}=\frac{2(3)}{1-5sin(11)}=1$

Therefore, equation of tangent line is:

$y-y_{1}=m(x-x_{1})\Rightarrow y-11=1(x-3)\\y-11=x-3\\y=x+8$

(c)

We know that slope of tangent is given as $\frac{dy}{dx}=\frac{2x}{1-5siny}$ . The tangent will be vertical when denominator of slope is zero, that is:

$1-5siny=0\Rightarrow siny=\frac{1}{5}\Rightarrow y=arcsin(\frac{1}{5})\\y=1.732,1.525, 3.063 \text{ etc.}$

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3 years ago

What are four things a new prince should do to maintain hold of his state?

pogonyaev

Answer:

The subjects of a conquered kingdom are not used to living in freedom or standing up for themselves, and are therefore slower to take up arms than are the citizens of a republic. There are three options for the conquering prince: destroy the republic, live there, or set up a puppet government. At the end of the day, Machiavelli seems to favor the first option.

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1 year ago