Which values of a, b, and c represent the answer in simplest form 9/11 divided by 5/11

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

What are one dimensional figures

agasfer [191]

Hello!

In geometry there are three dimensions.

Something that is one dimensional is neither flat, wide, or tall. It is just a line.
——————————————
Something two dimensional is flat and wide but has no height. An example of this is a square.

Something three dimensional is wide and tall, and has flat faces. An example is a cube.

To answer your question something one dimensional is something that is not flat, wide, or tall, such as a line.

Hope this helped!

3 0

3 years ago

⦁ Show (2.3)(5.06) as a fraction multiplication problem and explain why the answer is in thousandths (three decimal places).

astra-53 [7]

we have

$(2.3)(5.06)$

we know that

$2.3=\frac{23}{10}$

$5.06=\frac{506}{100}$

so

$(2.3)(5.06)=(\frac{23}{10})(\frac{506}{100})$

$=\frac{11,638}{1,000}$

$=11.638$

the answer is in thousandths, because the denominator of the multiplication of the two fractions is one thousand

8 0

3 years ago

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A racquetball club charges $10 for a one-month trial membership. After the trail month, the regular membership fee is $12 per mo

Furkat [3]

Membership is discounted $2 for first month
c=cost of one month
d=discount=$2
x=# of months
xc - 2= total cost
x for 1 month is 1, c is always 12, -2 is constant
1 x(12) - 2=10 for first month
8 months
8c -2=total cost for 8 months
8 x 12 - 2= 94 for 8 months

5 0

3 years ago

According to the scatterplot below, which statement is correct? A graph titled Courses Completed versus Remaining Credits Needed

kondaur [170]

Answer:

Option B.

Step-by-step explanation:

It is given that a graph titled Courses Completed versus Remaining Credits Needed to Graduate has courses completed on the x-axis and Credits need to graduate on the y-axis.

Points plotted are (4, 110), (8, 76), (16, 63), (20, 53), (24, 33).

Since, x-axis represents the courses completed, therefore the input, or independent variable is courses completed.

Since, y-axis represents the Credits need to graduate, therefore the output, or dependent variable is Credits need to graduate.

Therefore, the correct option is B.

6 0

3 years ago

Read 2 more answers