Which equation in slope-intercept form represents a line that passes through the point (2,3) and is
perpendicular to the line y - 9 = (0 + 7)?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Which equation in slope-intercept form represents a line that passes through the point (2,3) and is perpendicular to the line y−9=23(x+7)

Solution:

The equation of a line in slope intercept form is given as y = mx + b, where m is the slope and b is the y intercept.

Given a line y−9=23(x+7)

y - 9 = 23x + 161

y = 23x  + 170. The slope of this line comparing with y = mx + b gives m = 23

Two lines are perpendicular if the product of their slope gives -1.

Let [tex]m_1[/tex] be the slope of the perpendicular line, hence:

[tex]m_1(23)=-1\\\\m_1=\frac{-1}{23}[/tex]

Since the perpendicular line passes through (2, 3), we can get its equation using:

[tex]y-y_1=m_1(x_x_1)\\\\y-3=\frac{-1}{23}(x-2)\\\\y= \frac{-1}{23}x+\frac{2}{23}+3\\\\ y= \frac{-1}{23}x+\frac{71}{23}[/tex]


Related Questions

Which of these is an example of driving at an average rate of 20 miles per hour?

A. driving 10 miles in 2 hours.

B. driving 15 miles in 5 hours.

C. driving 25 miles in 5 hours.

D. driving 40 miles in 2 hours.

Answers

Answer:

D

Step-by-step explanation:

40/2=20

Answer:

give the other guy the thing

Step-by-step explanation:

What is the value of x in the equation 3-2x--15x?

6
2
2
6

Answers

Consider the given equation is [tex]3-2x=15[/tex] and one of the 6 in the options is -6.

Given:

The equation is

[tex]3-2x=15[/tex]

To find:

The value of x.

Solution:

We have,

[tex]3-2x=15[/tex]

Subtracting 3 from both sides, we get

[tex]3-2x-3=15-3[/tex]

[tex]-2x=12[/tex]

Divide both sides by -2.

[tex]x=\dfrac{12}{-2}[/tex]

[tex]x=-6[/tex]

Therefore, the value of x is -6.

Free Branliest
Answer please I LONELY PLS GUYS PLEASE

Answers

Answer:

Hello. How's your day been so far?

Step-by-step explanation:

Answer:

Ya

Step-by-step explanation:

Jenny can walk ⅕ of a mile in ½ of an hour. If she continues this pace how long will it take her to walk 2 ⅖ miles?

Answers

I think 12.5 hours i hop i am right

Answer:

6hours

Step-by-step explanation

2 2/5 / 1/5 = 12 or 2.4 / .2 = 12

1/2 * 12 = 6

3 lbs, 7 ounces = ____ ounces

Answers

Answer:

one pound is equal to 16 oz

(3x16= 48)

(48+7=55)

55 ounces

55 ounces


hope this helpssssss

Marty and Ethan both wrote a function, but in different ways.

Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Ethan

A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.

Whose function has the larger slope?

Answers

Answer:

Marty's function has larger slope as compared to Ethan's slope.

Step-by-step explanation:

Marty function:

y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Writing in mathematical form: [tex]y+3=\frac{1}{3}(x+9)[/tex]

Marty has written expression in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope [tex]m=\frac{1}{3}\:or\: 0.3[/tex]

Now, Ethan has a table

x        y

-4      9.2

-2      9.6

0       10

2       10.4

We can find slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using any two points, we can find slope of Ethan's equation

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2[/tex]

So, we get Marty's slope = 0.3

Ethan's slope = 0.2

So, Marty's function has larger slope as 0.3 is greater than 0.2

Answer:

C

Step-by-step explanation:

For ride sharing services, Uber charges $5 for the first mile and $1.20 each additional mile. Lyft charges $7 for the
first mile and $0.95 for each additional mile. What is the equation to show how many miles will it take for the cost to
be the same?

Answers

Answer:8 miles

Step-by-step explanation:

Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?

Answers

Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

every 5 months, hal has to replace the batteries in his calculator. he changed them the first time in may. in what month will they be changed the 25th time?

Answers

The 25th battery replacement will occur in October.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

The last time he changed his batteries was in May, so we know he needs to change them every 5 months. So we can figure out when he has to replace them for the 24th time. The first thing we need to do is figure out how many months have passed since he has to replace them 24 times a year.

[tex]\begin{aligned}5\text{ months}\cdot 24\text{ replacement}&= 120\text{ months}\end{aligned}[/tex]

From the amount of months we can calculate the amount of years that will pass.

120 months x  (12 months/ 1 year ) = 10 year

Adding 10 years to May results in 10 years later May, which is the month of the 24th replacement.

That is the 24th battery replacement will occur in May and therefore, the 25th battery replacement will occur in October.

Read more about unit rates at:

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how bout this 5+54+69= What

Answers

Answer:

128

Step-by-step explanation:

hoped that helped

should i restart my cumputer to see if my khan % will go up if i keep getting 100 on my work

Answers

Answer:

whats you mean

Step-by-step explanation:

Answer
I believe refreshing your page would be enough

Im having trouble figuring this out, please help!
Triangle STU with vertices
S(-15, -3), I(-12, -15). and U(0, -9):
k= 1/3

Answers

Scale factor is 1/3
Divide each coordinate by 3

S’ = (-15/3, -3/3) = (-5, -1)
T’ = (-12/3, -15/3) = (-4, -5)
U’ = (0/3, -9/3) = (0, -3)

The maximum number of running shoe inserts that can
be produced is
At possibility B, pairs of running shoe inserts can
be produced
At possibility D, pairs of hiking boot inserts can
be produced.

Answers

Answer:

15 12 6

Step-by-step explanation:

edg

Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $5.50 per hour. Waitress B is offering her services for an initial $24 in addition to $4.50 per hour. When will the two waiters charge the same amount of money?

Answers

Answer:

The indifference point is 4 hours.

Step-by-step explanation:

Giving the following information:

Waiter A:

Fixed cost= $20

Unitary variable cost= $5.5 per hour

Waiter B:

Fixed cost= $24

Unitary variable cost= $4.5

First, we structure the total cost formula for each waiter:

Waiter A= 20 + 5.5*x

Waiter B= 24 + 4.5*x

x= number of hours

Now, we equal both formulas and isolate x:

20 + 5.5x = 24 + 4.5x

1x = 4

x= 4

The indifference point is 4 hours.

Prove:

Waiter A= 20 + 5.5*4= $42

Waiter B= 24 + 4.5*4= $42

what is the slope between (4,-17), (-20,-1)?

Answers

the slope between those points is -2/3
the slope of those points is -2/3

Calculate the pressure if the area is
10cm² and the force is 420N

Answers

Answer:

p=F/A

p=420/10

P=42

Step-by-step explanation:

hope this helps u

CAN ANYONE HELP?! please

Answers

A.
initial; line starts at 1 on the x axis
rate of change = slope = 3/5

How much is 2+45/6? ​

Answers

Answer:

The correct answer to 2+45/6 is either 9.5 or 9 1/2.

Step-by-step explanation:

In order to solve 2 + 45/6, we need to turn the fraction into a decimal (by dividing the numerator by the denominator) and/or a mixed number (by dividing the numerator by the denominator, and marking the rest)

Step 1: Convert fraction into decimal/mixed number:

45/6 or 45 ÷ 6 = 7.5

45/6 = 7 3/6 or 7 1/2

Step 2: Add two to Both the decimal/mixed number:

7.5 + 2 = 9.5

7 1/2 + 2 = 9 1/2

Therefore, 2+45/6 is either 9.5 or 9 1/2.

Hope this helps! :D

Bike sprockets and chain.
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?

Answers

Answer: 3:1

Step-by-step explanation:

From the question, we are informed that a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket.

We are further told that the bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket.

Based on the explanation given in the question, the gear ratio for the bike would be the ratio of 36 to 12. This will be:

= 36:12

Since 12 is a common factor. It can be further reduced to 3:1.

Therefore, the gear ratio is 3:1

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

That's the answer

pyramid q has a rectangular base and a volume of 96 cubic inches. pyramid r has a rectanglular base that is one-half the base area of pyramid q and a height that is 3 times the height of pyramid q. what is the volume of pyramid r?

Answers

The volume of pyramid R is 144 cubic inches.

We have to find the dimensions of pyramid Q using the given information:

Volume of pyramid Q = 96 cubic inches

The volume of a pyramid is given by the formula:

Volume = (1/3) * base area * height

Since pyramid Q has a rectangular base, let's assume its base has dimensions length (L), width (W), and height (h).

Volume of pyramid Q = (1/3) * (L * W) * h

We are given that the volume of pyramid Q is 96 cubic inches:

96 = (1/3) * (L * W) * h

Now, let's move on to pyramid R:

Base area of pyramid R = (1/2) * base area of pyramid Q

Base area of pyramid R = (1/2) * (L * W)

Height of pyramid R = 3 * height of pyramid Q

Height of pyramid R = 3 * h

Now, we can calculate the volume of pyramid R using the same volume formula:

Volume of pyramid R = (1/3) * (base area of pyramid R) * (height of pyramid R)

Volume of pyramid R = (1/3) * ((1/2) * (L * W)) * (3 * h)

Volume of pyramid R = (1/2) * (L * W) * (h)

We know that the volume of pyramid Q is 96 cubic inches,

so (L * W) * h = 96*3 = 288.

Now, let's substitute this value into the formula for the volume of pyramid R:

Volume of pyramid R = (1/2) * 288

Volume of pyramid R = 144 cubic inches

So, the volume of pyramid R is 144 cubic inches.

To learn more on volume click :

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6. A glider descends 240 meters in 12 seconds. What is the average change in
elevation per second?

Answers

Answer:

20 meters per second

Step-by-step explanation:

240/12

Answer: The average change in elevation per second is -20 meters.

Step-by-step explanation: If a glider descends 240 meters in 12 seconds, then it descends 20 meters in one second. However, because the glider is descending, then the value and slope of change must be negative.

I need help it is a multiple Choice question

Answers

Answer:

6 m

.006 km  

6,000 mm

Step-by-step explanation:

Let's look at some conversions real quick:

1 cm --> 10 mm (multiply cm by 10)

1 cm --> 0.00001 km (divide cm by 100000)

1cm --> 0.01 m (divide cm by 100)

Now that this is laid out, lets do these conversions for 600 cm.

Meters (m) = 600/100 = 6 meters

Kilometers (km) = 600/100000 = .006km

Millimeters (mm) = 600 * 10 = 6,000 mm

I hope this helps!!

- Kay :)

What is the solution of x/3 - 5=4? Justify each step.

Answers

Answer: x=27

Step-by-step explanation: hope this helps!

The ratio of a screen's width to its height is 3:2. The height of the screen is 24 cm. What is its width in centimetres (cm)?​

Answers

3:2 = 1.5:1

24 x 1.5 = 36cm

Answer:

36 cm

Step-by-step explanation:

3:2 = ?:24

24 / 2 = 12

12 * 3 = 36

Width = 36

What decimal fraction is 7 hens out of 21 hens?​

Answers

Answer:

7 is 1/3 of 21 hens

Step-by-step explanation:

7/21 = 3

Answer:

7/21 and simplifies, its 1/3

Step-by-step explanation:

Which decimal has the greatest value?
A. 0.009

B. 0.019

C. 0.0099

D. 0.02​

Answers

Answer:

Answer: D

Step-by-step explanation:

Answer:

D.0.02

Step-by-step explanation:

D is the least number so that means its closer to 0. the higher the negative number goes the further away it gets from 0.

Please help me with 3 and 4

Answers

Answer:

Third choice, likely

Second choice, equally likely

Step-by-step explanation:

There's 14 red ones and 3 green ones, so there's 17 marbles in total. !4 red ones so the probability is 14/17, which is a very high chance so yea

It's not certain because there's still 3 marbles that are not red, so while the chance of it not being red is low, it's not none so u can't choose certain

There's only 2 sides to a coin, so the chance of getting either heads or tails is 1/2. So there's an equal chance

Help me pls I beg you pls help me need answer I’m around 10 mins pls helpASAPP

Answers

Answer:

-1, 1, 3, 5, 7, 9

Just replace x in the equation y=2x+3 with the values given in the question

The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the town’s population from 2000 to 2019?
A) P(t) = 1.12t + 0.20
B) P(t) = 0.02 + 1.12
C) P(t) = 0.20t + 1.12
D) P(t) = 1.12t + 0.02

Answers

Answer:

P(t)=1.12t+0.20

Step-by-step explanation:

Hope it helps lov

What is the value of n? 3n - 4 = 10

Answers

Answer:

4 and 2 thirds or 4 2/3 <mixed number

Step-by-step explanation:

4+10=14

14/3n=4.666 repeating decimal or just 4 2/3

Other Questions
what color is red and blue make Write an equation of the line with the given slope and y-intercept.slope: 1y-intercept: -6Help C ON THE SIDEWALK BLEEDING by Evanwhat is the summary Hunter The boy lay on the sidewalk bleeding in the rain. He was sixteen years old, and he wore a bright purple jacke and the lettering across the back of the jacket read THE ROYALS. The boy's name was Andy and the name wa delicately scripted in black thread on the front of the jacket, just over the heart. ANDY He had been stabbed ten minutes ago. The knife entered just below his rib cage and had been drawn across body violently, tearing a wide gap in his flesh. He lay on the sidewalk with the March rain drilling his jacket drilling his body and washing away the blood that poured from his open wound. He had known excruciating pain when the knife had torn across his body, and then sudden comparative relief when the blade was pull away. He had heard the voice saying, 'That's for you Royal!" and then the sound of footsteps hurrying into rain, and then he had fallen to the sidewalk, clutching his stomach, trying to stop the flow of blood. He tried to yell for help, but he had no voice. He did not know why his voice had deserted him, or why the was an open hole in his body from which his life ran readily, steadily, or why the rain had become so sudde fierce. It was 11:13 p.m. but he did not know the time. There was another thing he did not know. He did not know he was dying. He lay on the sidewalk, bleeding, and he thought only: That was a fierce r They got me good that time, but he did not know he was dying. He would have been frighte ned had he le In his ignorance he lay bleeding and wishing he could cry out for help, but there was no voice in his throa There was only the bubbling of blood from between his lips whenever he opened his mouth to speak. He his pain, waiting, waiting for someone to find him. PLS HELP I NEED HELP What makes a problem a two-step equation?A) The problem has two answersB) The problem has three operationsC) The problem has two operationsD) The problem has two questions James Madison drafted one possible plan for a new American legislature, known as the Virginia Plan. TheVirginia Plan called forChoose 1 answer:a unicameral legislature in which every state had one vote, giving equal representation to large andsmall statesBa bicameral legislature in which representation in Congress would be based on population,benefitting larger statesa three-part government with an executive, legislative, and judicial branches, providing checks andbalances on each branch Pls I need help 20 points List the types of persuasive speeches. In 1803, President Thomas Jefferson acquired land that almost doubled the size of the United States known as the F Gadsden Purchase G Louisiana Purchase H Mexican Cession J Texas Widely considered one of the great political and economic successes of the post-WWII period, the GI Billcreated wealth and opportunity for all returning American soldiers.True or False? Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100100100 chocolate chips and 151515 ounces of dough.What will Wendy think about Cookie Club's cookies?Choose 1 answer:Choose 1 answer:(Choice A)AThey are too chocolatey.(Choice B)BThey are not chocolatey enough.(Choice C)CThey are just right. what specific type of damages happen to roads and coastlines from a CATEGORY 2 HURRICANE why do people who are addicted to drugs continue taking drugsA. they could easily quit if they wanted to but most drug addicts if we don't want to quitB. drug addictions is a complex disease quitting takes more than just good intentions and strong willC. drug addict chicks are just bad people who lack the moral principles to quit taking drugsD. all they need is to develop a little more willpower What is the difference between population parameters and estimates in a sample? If triangle ABC is similar to triangle DEF, what is the value of x?12 cm36 cm15 cm5 cm The $40 million lottery payment that you have just won actually pays $2 Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends of the total time in the morning getting dressed, 10 minutes eating breakfast, 5 minutes making her bed, and the remaining time driving to work. If Nancy spends 35 minutes getting dressed, eating breakfast, and making her bed, how long is her drive to work? 1/3x + 5 (x equals -6) ection 1If Frances can paint of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?60 minutes100 minutes400 minutes500 minutes What is raw materials