Anyone know how to do this if so please do it.

Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)

DanielleElmas [232]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em> through (0, -1)</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's take a look at our provided information:-

A line $\text{y=-12x+2}$
A point (0, -1)
The line $\text{y=-12x+2}$ is perpendicular to the line that goes through (0, -1)

If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

So we take the slope of the given line, which is -12, change its sign from minus to plus:-

$\Large\textit{12}$

And now, We flip the number over:-

$\Large\text{$\displaystyle\frac{1}{12}$}$

Now that we've found the slope of the line, let's find its equation.

The first step is to write it in point-slope form as follows:-

$\longmapsto\sf{y-y_1=m(x-x_1)}$

Replace letters with numbers,

$\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}$

On simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}$

On further simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}$

Subtracting 1 on both sides,

$\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}$

$\Uparrow\texttt{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

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5 0

2 years ago

How can I determine whether fractions are considered decimals

ArbitrLikvidat [17]

Yes they are but just in a different form. Fractions can be converted to a decimal. 3/5 can be shown as .6. Hope I helped!

3 0

2 years ago

PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(

ExtremeBDS [4]

Answer:

Length: 20 or 40 feet

Width: 40 or 20 feet

Step-by-step explanation:

Area = 800 = length*width = x*(60-x)= 60x - x^2

- x^2 + 60x - 800 = 0

x = 20

Or x = 40

So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)

6 0

3 years ago

Please help! Will mark brainless

KengaRu [80]

Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:

10 x 9 = 90 mm

Now, find the area of the “missing” part.

5 x 2 = 10 mm

Finally, you deduct the missing part from the complete rectangle!

90 - 10 = 80 mm

The area of this whole thing is 80 mm!

4 0

2 years ago

Read 2 more answers

The cumulative distribution function f(x) of a discrete random variable x is given by f(0) =. 30, f(1) =. 70, f(2) =. 90 and f(3

Lisa [10]

Correlation between x & y is 0.6125.

In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.

The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.

Learn more about cumulative distribution here: brainly.com/question/24756209

#SPJ4

7 0

1 year ago