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2 years ago

What is the slope of the line that passes through (3,5) (7,3) A -2 B) -1/2 2 1/2

Mathematics

2 answers:

Maurinko [17]2 years ago

5 0

A I think the answer is a ??

barxatty [35]2 years ago

3 0

Answer:

-1/2

Step-by-step explanation:

y2-y1 3-5= -2

x2-x1 7-3= 4

-2/4=-1/2

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

DanielleElmas [232]

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

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

through (0, -1)

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

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

$\rule{300}{1}$

5 0

2 years ago

Amy has 120 acres of peanuts. She risked the soil using a 16-foot disk traveling 4.2 miles per hour.she used 0.62 gallon per acr

lesya [120]

Where is the question?????

3 0

3 years ago

Negative five-fourths times a number and six is less than twelve.

kodGreya [7K]

Answer:

-5/4x +6 < 12

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Joaquin has $1,300 in the bank and has investments worth $4,000. He also has $7,000 worth of credit card debt. What is Joaquin's

svetlana [45]

The answer to this question would be: -$1,700

In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:

Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300

The negative value should be
$7,000 worth of credit card debt
Total positive value =$7000

Then the net worth should be: $5300 - $7000= -$1700

7 0

4 years ago

Kasey asked 6 of her friends how many episodes of their favorite show they

ivanzaharov [21]

Answer:

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10 Multiply each side by 6

43 + m = 10 * 6

43 + m = 60 Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

3 0

4 years ago