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dusya [7]
3 years ago
8

What is the equation of this line in standard form?

Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0
D is the correct answer using desmos graphing calculator. :)
borishaifa [10]3 years ago
3 0
I think the answer is a but I'm not sure
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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
olga2289 [7]

Step 1

<u>Find the slope of the given line</u>

Let

A(-3,2)\ B(2,-1)

slope mAB is equal to

mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}

Step 2

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}

Step 3

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5

Multiply by 3 both sides

3y=5x-15

5x-3y=15

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation 5x-3y=15

4 0
3 years ago
Read 2 more answers
Y=1/3x what is the slope
Karolina [17]

Answer:

Slope = \frac{1}{3}

Step-by-step explanation:

The equation for finding slope is:

y = mx+b

In the equation, m is the slope, x is the x-intercept, and b is the y-intercept. The number next to x is ALWAYS the slope.

Your equation:

y = \frac{1}{3} x

The number(fraction) next to x is \frac{1}{3}. Therefore, your answer will be \frac{1}{3}

3 0
3 years ago
Please help! To solve the equation 1.75n = 7 for n, what operation must be applied to both sides in order to isolate the variabl
Kazeer [188]

Answer:

C

Step-by-step explanation:

1.75n = 7 ( to isolate n divide both sides by 1.75 )

n = \frac{7}{1.75} = 4

6 0
2 years ago
Read 2 more answers
Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.
Vilka [71]

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440

8 0
2 years ago
A play has tickets available for 8 orchestra seats and 12 balcony seats. The next person to buy a ticket will be randomly assign
qaws [65]

The probability that the next person will be assigned an orchestra seats is 2/5.

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Available Orchestra seats = 8

            Balcony seats = 12

      Total available seats = 12 + 8 = 20

  Probability = Favorable Outcome / Total Outcome

  Probability of getting orchestra ticket = 8/20

                                                                 = 2/5

Thus, the probability that the next person will be assigned an orchestra seats is 2/5.

Learn more about Probability from:

brainly.com/question/14210034

#SPJ1

5 0
2 years ago
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