What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

What Is The Equation Of The Line That Is Perpendicular To Line M And Passes Through The Point (3, 2)?

Answers

Answer 1

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line


Related Questions

please help me, tysmm! and no spam or links please it's rlly annoying -_-

Answers

The slope is -2/1.
Rise/Run.
Down 2/ Left 1. Because it’s going down, put a negative.

30x - 12y
i need help

Answers

Step-by-step explanation:

if you factor it will be 6(5x-2y)

if you graph the slope will be 5/2

how many number of solutions does 3(x+1)+x+2=2(2x+1)+3 have pls help me out

Answers

Answer:

All real numbers (infinite solutions)

Step-by-step explanation:

To find the number of solutions, first, distribute and combine the like terms of the equation.

3(x+1)+x+2=2(2x+1)+3

3x+3+x+2=4x+2+3

4x+5=4x+5

Since both sides of the equation are equal, the number of solutions are infinite.

help please anybody hmm​

Answers

Answer:

18.7°F

Step-by-step explanation:

Difference

High temperature - low temperature

-3.6 - ( -22.3)

-3.6 + 22.3

= 18.7°F

Find the volume of the figure below.

Answers

Answer:

0.6

Step-by-step explanation:

10ft of object and 6ft of ground side

what is the range of a parabola that opens down with a vertex at (1,-3)

Answers

Answer:

-3 to -infinity

Step-by-step explanation:


What is the following expression?
3x2 + 5
1.monomial
2.binomial
3 neither

Answers

Answer:

Assuming the 2 in 3x2 is an exponent, then it is binomial.

Step-by-step explanation:

A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5

Answer:

2.binomial

Step-by-step explanation:

3x2=1

5=2

so its a binomial

Oceanside Bike Rental Shop charges a 13 dollars fixed fee plus 7 dollars an hour for
renting a bike. Keith paid 69 dollars to rent a bike. How many hours did he pay to have
the bike checked out? Let h = number of hours bike was checked out

Answers

Answer:

8 hours

Step-by-step explanation:

69-13=56

56/7=8

13+7h=69

3x - 1 = 5 help me plz

Answers

Answer:

x = 2

Step-by-step explanation:

3x - 1 = 5

First, add 1 onto both sides. (When doing these type of questions you must do the inverse!)

3x = 6

Divide by 3 on both sides to get x.

x = 2

Hope this helps and I hope you have a good day!

Answer: 2

Step-by-step explanation: move constant to the right, calculate, divide both sides

Classify the following triangle

(Chose multiple)

-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right

Answers

Answer:

Scalene

Acute

Obtuse

Step-by-step explanation:

≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°

≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles

= Scalene as all the sides are of different lengths and so are all the angles with different degrees.

= Actue because QPO and PQO are less than 90°, thus they are acute angles

≠ Equiangular because none of the given angles are of the same degree.

= Obtuse as POQ is greater than 90°

≠ Right because the given triangle does not have a right angle

there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed

Answers

Answer:

16%

Step-by-step explanation:

60+90=150 total students

14+10=24 left handed students

24/150= 0.16 or 16% of the population being left handed

Scientists say we should sleep 3/8 of a day.How about many hours is this

Answers

9 hours because 8 x 3 = 24 and 3 x 3 = 9

Crystal's yearly income is $25,000, and the cost
of her rent for the year is $7,500. What fraction
of her yearly income does she spend on rent?
A. 1/4
B. 3/10
C. 2/5
D. 2/7

Answers

I NEED POINTSsssssssss

A train traveling at a constant speed covers 320 miles in 4 hours. What equation can be used to model the distance, d miles, the train travels in time, t hours? (Open response)

Answers

Answer:

80d:1t

Step-by-step explanation:

320mi:4h

80mi:1h

80d:1t

Every hour the train travels 80 miles

Answer: d = 80t

Step-by-step explanation:

320 miles / 4 hours = 80 mph

distance = rate * time

Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition

Answers

Answer:

x <= -6.33333

(>= is greater than or equal to)

(<= is less than or equal to)

Step-by-step explanation:

7 - 3(x+5) >= 11

7 - 15 - 3x >= 11

-8 - 3x >= 11

-3x >= 19

x <= 19/-3

x <= -6.33333

please mark brainliest

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Seven less than three times the sum of a number and 5 is at least 11.

The sum of the a number (x) and 5 is given as,

⇒ (x + 5)

Three times the sum of a number and 5 will be given as,

⇒ 3(x + 5)

Seven less than three times the sum of a number and 5 will be

⇒ 3(x + 5) - 7

Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be

3(x + 5) - 7 ≥ 11

Simplify the inequality, then the value of x will be

3(x + 5) ≥ 18

   x + 5 ≥ 6

         x ≥ 1

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.

a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.

b. Graph the inequalities and show the solution set.

c. Identify a point that represents a combination of haircuts and and hair-coloring jobs that meets the stylist's requirements.

Answers

Haircuts be xhair coloring be y

#a

[tex]\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150[/tex]

[tex]\\ \sf{:}\Rrightarrow x+y\geqslant 10[/tex]

And

[tex]\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8[/tex]

#2

Attached

#3

(8,2)

Please help ASAP, any links will be reported!
Write an inequality that represents the graph below:

Answers

Answer:

x< 0

Step-by-step explanation:

[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality

[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given

[] Our final answer, assuming we can use x for this graph, is x < 0

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

I need help with these three questions I have the question and math problems all in the screenshots please help :)

Answers

Answer:

Screenshot 1 = Option B (5x-1)²

Screenshot 2 = (x+9)(x+9)

Screenshot 3 = Option 3 100x²-20x+1

Step-by-step explanation:

Screenshot 1 -

(5x-1)² = (5x-1)(5x-1)

5x · 5x = 25x²

5x · -1 = -5x

5x · -1 = -5x

(-1) · (-1) = 1

25x²- 5x- 5x + 1 = 25x² - 10x + 1

Screenshot 2 -

(x+9)(x+9)

x · x = x²

x · 9 = 9x

x · 9 = 9x

9 · 9 = 81

x² + 9x + 9x + 81 = x² + 18x + 81

Screenshot 3 -

100x²-20x+1

(10x-1)(10x-1)

10x · 10x = 100x²

10x · (-1) = -10x

10x · (-1) = -10x

(-1) · (-1) = 1

100x² - 10x - 10x + 1 = 100x² - 20x +1

find 4/5 x 1 2/3?? please help!

Answers

0.2 is the correct answer because you simplify then solve

HELP PLS!

I'm studying for UCAT as I want to get into medicine. I don't understand probability diagrams like these, please explain it to me.

Answers

Answer:  80 (choice B)

=========================================================

Explanation:

This is an interesting venn diagram. Each region is either a circle or some kind of arrow shape. The numbers in the regions correspond to the qualities mentioned. For example, the "55" in the circle outside the other arrow regions tells the reader that there are 55 secretaries who are reliable but don't possess any other quality. As another example, the 35 is inside the circle and the left-pointing arrow to tell us that there are 35 people who are reliable and organized.

What we want to find are the values that are in 3 or more regions. There's only two cases when this happens: The 15 and the 65 as they are in the circle, the double arrow, and one of the single pointing arrows. So we have 15+65 = 80 candidates that possess 3 qualities. No person has all four qualities because there isn't a value that's in all four regions at the same time. Or you could note that the left and right pointing arrows do not overlap which is a big clue that there's no way someone could possess all four qualities at once. It might help to trace out the figures using different colors so you can pull apart the four figures.

Find the common ratio of the geometric sequence 9, -18, 36, ...

Answers

Answer:

-2.

Step-by-step explanation:

-18/9 = -2.

36/-18 = -2.

We multiply by -2 to get the next number in the sequence.

Common ratio is -2.

Aneesha determined that the cost of attending her public four-year college in her first year will be $6,220. If the average cost is expected to increase by 6%, what will be the cost of attending her second year in college?
A) $6,226.00
B) $6,257.32
C) $6,593.20
D) $6,820.00

Answers

Answer:

6593.2

Step-by-step explanation:

6,220*1.06 = 6593.2

two angles of a triangle are 5x+20 and 2x+30 find the third angles​

Answers

Answer:

Third angle is [tex]130-7x[/tex]

Step-by-step explanation:

We have sum of angles is [tex]180^{0}[/tex]

Let the third angle be [tex]y[/tex]

Hence

[tex]5x+20+2x+30+y=180\\\\y=130-7x[/tex]

Third angle is [tex]130-7x[/tex]

what cubed is equal to 1000?

Answers

Answer:

10

Step-by-step explanation:

(1 point for work, 1 point for correct answer) PLEASE HELP BEFORE WINTER BREAK​ NO LINKS HURRY

Answers

(9+17)/4=26/4=6.5
So 6.5 is the answer

helllppp pleaseeeeee​

Answers

MY ANSWER WITH SOLUTIONS

#CARRYONLEARNINGGUYS

Which equation represents the line through (0,0) and (3, 4)?

O A. y = x

O B. y = 4x

O C. y = 2

O D. y = 3x

Answers

Answer:

y=4/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-0)/(3-0)

m=4/3

y-y1=m(x-x1)

y-0=4/3(x-0)

y=4/3(x)

y=4/3x

“write each number as a percent”
6 and 1/2 ( mix number)
Help please

Answers

Answer:

650%

Step-by-step explanation:

Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%


How do I do this problem? We’ve been learning this recently and there’s a test we have on Thursday And I’m still not quite sure how to do these types of problems

Answers

Answer:

I have a test on thursday toooooooo

Step-by-step explanation:

Basically it’s asking for the GCF that can into 4 and 36. Also, if it’s asking for the degree, it’s what is the largest exponent that can go with both expressions. (For this question in particular, the GCF is 4 and the highest degree is x^3) Hopefully this helped!

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:  

7

8

Therefore, 7/8 simplified to lowest terms is 7/8.

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