What is an equation of the line that passes through the point (6,1) and is
perpendicular to the line 2x + 3y 18?

Answers

Answer 1

Answer:

y - 1 = 3/2(x - 6)

Step-by-step explanation:

First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.

2x + 3y = 18

3y = -2x + 18        (Subtract 2x from both sides)

y = -2/3x + 6        (Divide both sides by 3)

The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.

Point-Slope Form: [tex]y - y_{1}=m (x-x_{1})[/tex]

y - 1 = 3/2(x - 6)

If necessary, this can also be written in slope-intercept form by solving for y.


Related Questions

Graph the line.
Don’t mind the random letters Fghhujhgdfvfdfgvee de f

Answers

Answer:

Step-by-step explanation:

Here, we want to graph the given line

Mathematically, to graph a line, we will

need to work with the intercepts

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

with respect to the question, 4 is the y-intercept

we have this point as (0,4)

To get the x intercept, we will need to substitute 0 for the value of y

So, we have ;

0 = -x + 4

x = 4

The x-intercept too is 4

This is the point (4,0)

So by joining the points (0,4) and (4,0);

we have successfully graphed the line

It can be found as an attachment below

Bernie bought a pair of shoes at the store when they were having a 30% off sale. If the
regular price of the pair of shoes was $42, how much did Bernie pay?
A) $12.60
B) $29.40
C) $24.00
D) $15.30

Answers

It’s $12.60 dollars!!!

2. What is the area of the half circle ?
20 points
9 in
A) 31.7925 square feet
B) 63,585 square feet
C) 127.17 square feet
D) 254 34 square feet

Answers

The answer is 127.17

Is it a b c or d need help please!

Answers

Answer:

it's a

Step-by-step explanation:

we subtract 9 from the 30 in the other side. that makes 21

3x ≤ 21

x≤7

that means any answer possible is below 7.

PLZ PLZ PLZ HELPPPP!! I MARK BRAINLIEST !

Answers

Answer:linear

Step-by-step explanation:

Answer: Linear

Step-by-step explanation:

helpppppp for 10points !!!​

Answers

slope is x so it’s -1/5
pretty sure
haven’t done this in a year

Answer:

[tex] - \frac{1}{5} [/tex]

A cone has a diameter of 12 centimeters and a height of 9 centimeters. Using 3.14 for pi, find the
volume of the cone to the nearest tenth.

Answers

A cone has a diameter of 12 centimeters and a height of 9 centimeters. The volume of the cone would be 2034.72 cubic cm.

How to find the volume of a right circular cone?

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

A cone has a diameter of 12 centimeters and a height of 9 centimeters.

Radius = 12/2 = 6cm

Height h = 9 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times 6^3 \times 9\: \rm unit^3\\\\V = 3.14 \times 648\\\\V = 2034.72 cm^{3}[/tex]

Hence, The volume of the cone would be 2034.72 cubic cm.

Learn more about volume of cone here:

https://brainly.com/question/26093363

#SPJ2

13) *
6 points
If a ticket for a single skydiving session is $28.50 and
there are 5 people in your group, how much would
the total amount for your group's tickets be after the
coupon is applied?
O $125.00
O $127.50
O $130.00
O $135.00

Answers

Answer:

A.

Step-by-step explanation:

Keylina used 8 cups of chocolate chips to make 4 batches of muffins. Which of the following rates represent the cups of chocolate chips per batch of muffins?

Answers

2 cup per batch.

8 ÷ 4 = 2

1. A rectangular prism and its dimensions are shown in the
diagram.
2 in.
3.4 in.
8.2 in.
What is the total surface area of this rectangular prism in
square inches?

Answers

Answer:

102.16

Step-by-step explanation:

2(2*3.4+2*8.2+3.4*8.2)=102.16

the area of a Trapezium is 132 cm². Its height is 14 cm the larger parallel side is longer than the other by 16 cm. find the length of the parallel side. Please someone help!!

Answers

1/2 (a+b)h

1/2 (a+16)14=132

8×14=112

14÷2=7

132-112=20

20÷7 =2.857142857

so then a= 2.86 (3sf)

For more questions like that turn it into equation the make a subject of formula

Emily has 6 gallons of water josh has 23 quarts of water. How many more points does Emily have more than josh

Answers

Answer:

2 pints

Step-by-step explanation:

To determine the amount of pints that Emily has more than Josh, gallons and quarts have to be converted to pints and the value is then subtracted

1. Convert gallons and quarts to pints

1 gallon = 8 pints

6 gallons = 8 x 6 = 48 pints

1 quart = 2 pints

23 quarts = 2 x 23 = 46 pints

2. Determine the difference in the amount of pints Emily has and the amount Josh has

48 pints - 46 pints = 2 pints

What is the awnser to pie
A. 3.14195
B. 4.0238
C. 5.3843
D. 6.2322

Answers

Answer:

A

Step-by-step explanation:

rite an equation of the line with the given​ slope, m, and​ y-intercept (0,3).
The equation is_______

m=0, b=-5



​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

since y=mx+b i think the equation will be
3=x-5

Evaluate the function at the given value. If g(x)=9x-8 find g(x+6) and g(x)+g(6)

Answers

Answer:

MARISSA WHATS THE SNAP I BET U BAD

Step-by-step explanation:

solve for x
solve for x

Answers

Answer:

121

Step-by-step explanation:

Number of sides = n = 7

Sum of all the interior angles = (n -2)*180 = (7-2) *180

                                                = 5 *180

                                                = 900

x +  125 + 119 +117 +145 + 133 + 140 = 900

x + 779 = 900

x = 900 - 779

x = 121

Answer:

x = 121°

Step-by-step explanation:

The formula to find the sum of interior angles of a polygon is:

180 ( n - 2 )

Here,

n ⇒ number of sides ⇒ 7

First, let us find the sum of the interior angles of the polygon.

180 ( n - 2 )

180 × ( 7 - 2 )

180 × 5

900°.

Accordingly, let us make an expression to find the value of x.

145 + 133 + 140 + 125 + 119 + 117 + x = 900

Let us solve for x now.

779 + x = 900

Subtract 779 from both sides.

x = 900 - 779

x = 121

answer this question please 3+2(5*6)=?

Answers

Answer:

63

Step-by-step explanation:

on a certain hot​ summer's day, people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 1258.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Step-by-step explanation:

How many people used the public pool altogether? There isn't enough info

Anyways,

You would write two equations and solve using substitution / elimination / graphing

one equation is:

1.5x + 2.25y = 1258.5

(x is children, y is adults)

Answer:

158

Step-by-step explanation:

Simplify to using laws of exponents

(-2)^2(-2)^5

Answers

Answer:

-128

Step-by-step explanation:

(-2)^2  *  (-2)^5 <---

First, add the exponents

(-2)^7<----

If you evaluate this you will get

-128

-128 First add the exponents (2+5) which is 7 and then you’ll have -2^7 and that equals -128

If you want to bowl six games which ally is better show work

Answers

Answer:

Pinz

Step-by-step explanation:

So to set up the equation for Lanez:

y = 3.5 + 4.25x

Next we compare the prices for both overall by plugging 6 games in as x:

Lanez:

y = 3.5 + 4.25(6)

y = 3.5 + 25.5

y = 29

Pinz:

y = 3.75 + 4(6)

y = 3.75 + 24

y = 27.75

29>27.75

Lanez is more expensive with it costing $29 for a night as opposed to the $27.75 one would pay to play at Pinz.

Solve the equation for z.
—8=—3/2 z

Answers

Answer:

           [tex]\bold{z=-5\frac13}[/tex]

Step-by-step explanation:

[tex]-8=-\frac32z[/tex]         {swap sides}

[tex]-\frac32z=-8[/tex]         {divide both sides by (-³/₂)}

[tex]z=-8\div(-\frac32)\\\\z=-8\times(-\frac23)\\\\z=-\frac{16}3=-5\frac13[/tex]

which expression is equivalent to the given expression?​

Answers

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

what it the gcf (greatest common factor) of 48 and 96?

Answers

Answer:

8

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The factors of 48 are 1,2,3,4,6,8,12,16,24,48;

The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96

6. How many solutions does the system 2y = 10x - 14 and 5x - y = 7 have? B two C none A one D infinitely many​

Answers

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation

Members of a baseball team raised $1479.25 to go to a tournament. They rented a bus for $800.50 and budgeted $45.25 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.

Answers

Answer:

15 players

Step-by-step explanation:

First, you might want to exclude out how much it cost to rent a bus.

1479.25 - 800.50 = 678.75

After that, the remaining amount of money is how much money is spent altogether for the basketball player's meal, since each player had the same budget for the meal, it made the question easier.

678.75 ÷ 45.25 = 15

What is the solution of the system of equations shown in the graph below?

Answers

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

need help cuz i don't know what in doingggg

Answers

i think the answer is 24 because
It would be 27/-10+7 = 24
I’d say the answer is 24, don’t take me for my word tho

HELP ME PLEASE!!! I NEED HELP!​

Answers

For the whole numbers:

24

26

23

25

21

46

63

57

75

91

1. 24 and 23.8

2. 26 and 25.7

3. 23 and 22.8

4. 25 and 24.8

5. 21 and 20.9

6. 46 and 46.3

7. 64 and 63.7

8. 56 and 56.5

9. 75 and 74.6

10. 91 and 90.7

When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.

If you have any further question, please reach out to me :)

A square has a perimeter of 44ft. What is the length of one side? What is the area of the square

Answers

Answer:

one side is 11ft

the area is 121 ft squared

Answer:

the length of one side is 11 and the area would be 121

Help with this please

Answers

Since the inequality has a “>” the plot must be hallow. So it leaves you with either C or D. Hope that helps narrow down your options.
I think the answer is D hopefully i’m right
Other Questions
Find all real solutions and show work: 2x^3-3x^2+18x-27=0 When a body needs to be examined, the Medical Examiner's job begins,O at the crime scenein the transport vehicle on the way to the morgueas soon as the body arrives at the morgueafter the police have prepped the body at the morgue Which of the following statements correctly explains what happens to the variability of a t-distribution as the sample size increases? Please help me hurry Which characteristic is related to fascism?A Extreme nationalismB Government control of the economyC Equality for womenD Unity between nationsanswer quick plz!!!! What inspired many Americans to support the United States' involvement in the Spanish-American War? Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get? Explain what each leg of the triangle trade was responsible for? the following punnett square shows a cross between two hybrid flowers. if the flowers show incomplete dominance, what fraction are pure red? I NEED HELP PLZ! Alejandro bought 6 notebooks and 2 binders for $23.52. Cassie bought 3 notebooks and 4 binders for $25.53. What was the cost, in dollars, of 1 notebook? Write a program using For loop to find the cube of the numbers from 50 to 100 BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE! The box in the right diagram takes 1.1 sec to strike the floor after being released from rest. Find the landing speed of the 0.3-kg box, the tension of the rope, and moment of inertia of the pulley. Help me please please help me HELP ME PLASE IM BEGGING YOU PLS HELP I'LL GIVE YOU THE BRAINLEST Which statement describes the situation shown in the graph? . Sales decrease with an increase in the price. B. Sales increase with a decrease in the price. C. Sales remain the same even if the price decreases. D. Sales decrease with a decrease in the price. Help me pls I got a 58 in Spanish, I dont wanna fail Pls :( Listen to the audio and then answer the following question. Feel free to listen to the audio as many times as necessary before answering the question. What will the doctor most likely use next? un termmetro una medicina una receta una cita convert 5000 mm = ____ cm debate the motion that " free education is a waste of Ghana resources" and I am for the motion. pls I just want some points.