Find the equation of the line that is perpendicular to y=-3/4x+1 and contains the point (9,12).

Find The Equation Of The Line That Is Perpendicular To Y=-3/4x+1 And Contains The Point (9,12).

Answers

Answer 1

The equation of the perpendicular line is y= 4/3x

How to determine the line equation?

The equation is given as:

y = -3/4x + 1

The slope of the above equation is;

m = -3/4

Let the slope of the perpendicular line be n.

So, we have:

n = -1/m

This gives

n = -1/(-3/4)

Evaluate

n = 4/3

The equation of the line is then calculated as:

y = n(x - x1)  + y1

This gives

y = 4/3(x - 9) + 12

Evaluate

y= 4/3x - 12 + 12

Evaluate the like terms

y= 4/3x

Hence, the equation of the perpendicular line is y= 4/3x

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Answer 2
Final answer:

The equation of the line that is perpendicular to the line y=-3/4x+1 and passes through the point (9,12) is y = 4/3x + 1.

Explanation:

To solve your question, we first need to identify the slope of the given line. The equation y=-3/4x+1 is in the form y=mx+b, where m represents slope. So, the slope of the given line is -3/4.

But we require an equation that's perpendicular to this line, so its slope will be the negative reciprocal of -3/4, which is 4/3. Now, we have the slope of the new line, and we know it passes through point (9,12).

With that information, we use the point-slope formula, y - y1 = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes. Here, x1=9, y1=12 and m=4/3. Substituting these values in gives us y - 12 = 4/3 (x - 9). Simplifying yields the equation y = 4/3x + 1, which is the equation of the line that is perpendicular to the given line and passes through the point (9,12).

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Related Questions

Maya is on the swim team. Each day she swims 750 m. Use the facts to find how much this is in kilometers

Answers

Maya swims 0.75 kilometers each day because to convert 750 meters to kilometers, we divide by 1,000.

The student wishes to know how many kilometers Maya swims each day if she swims 750 meters. To convert meters to kilometers, we use the fact that 1 kilometer is equivalent to 1,000 meters. So, to find out how many kilometers 750 meters is, we divide the number of meters by 1,000.

750 meters \/ 1,000 = 0.75 kilometers

Therefore, Maya swims 0.75 kilometers each day.

A blueprint for a garage has a scale of 1.5 cm to 3 m. On the blueprint, the length of one wall is 8 cm. If w represents the length of the actual wall, what is w?

Answers

1,5cm -----> 300cm(3m)
8cm -------> w cm

3/2w=8x300
3/2w=2400
3w=4800
w=1600cm=16m

Answer:

16m

Step-by-step explanation:

Help with this please

Answers

Answer:

1. 26:5 or  

[tex]\frac{26}{5}[/tex] or

5.2 as a decimal

2. 21:26 or  

[tex]\frac{21}{26}[/tex] or

0.81 as a decimal

3. 21:5 or  

[tex]\frac{21}{5}[/tex] or

4.2 as a decimal

4. 5:21 or  

[tex]\frac{5}{21}[/tex] or

0.24 as a decimal

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.  

To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or [tex]\frac{21}{26}[/tex] or 0.81. We can also compare the number of vowels which is 5:26 or

A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.  

21:5 or  

[tex]\frac{21}{5}[/tex] or

4.2 as a decimal.  

We can reverse and write vowels : consonants.

5:21 or  

[tex]\frac{5}{21}[/tex] or

0.24 as a decimal.  


What does 3+3 (a) simplify to when a=5

Answers


[tex]3 + 3 \times 5 = 18[/tex]
3 + 3(5) = 3 + 15 = 18

Paco, Jayden, Brett each made a stack of superheroes cards. Pacos stack was 0.342 meter high. Jaydens stack was 0.41 meter high. Brett stack was 0.405 meter high. Write a number sentence that compares Jayden stack of cards Brett stack of cards.

Answers

0.41-0.405=0.05
Jayden’s stack of cards was 0.05 m taller than Brett’s.

Jayden's stack of superhero cards, which is 0.41 meters high, is taller than Brett's stack of superhero cards, which is 0.405 meters high. The number sentence to compare them is 0.41 > 0.405.

The student is asking to write a number sentence that compares Jayden's stack of cards to Brett's stack of cards.

Jayden's stack was 0.41 meter high, and Brett's stack was 0.405 meter high. To compare these two stacks, we look at the decimal values given for the heights. Since 0.41 is greater than 0.405, the number sentence that compares the two stacks is:

Jayden's stack > Brett's stack

Or in terms of the specific values:

0.41 > 0.405

This shows that Jayden's stack of cards is taller than Brett's stack of cards.

I will give 80 points if u anwser this.
What is the equation of this line in standard form? 


7x−6y=11

6x−5y=−13

6x−7y=11

6x−7y=−11

Answers

Answer:

[tex]6x-7y=11[/tex]

Step-by-step explanation:

we know that

The equation of the line in standard form is equal to

[tex]Ax+By=C[/tex]

step 1

Find the slope m

Let

[tex]A(-3,-1), B(1/2,2)[/tex]

[tex]m=\frac{2+1}{(1/2)+3}\\ \\m=\frac{6}{7}[/tex]

step 2

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

[tex]y-y1=m(x-x1)[/tex]

with the slope m and the point B find the equation of the line

[tex]y+1=\frac{6}{7}(x+3)[/tex] ------> multiply by 7 both sides

[tex]7y+7=6(x+3)[/tex]

[tex]7y+7=6x+18[/tex]

convert to standard form

[tex]6x-7y=18-7[/tex]

[tex]6x-7y=11[/tex]

Write a system of equations with the solution (4,-3)

Answers

Answer:

y = 3x-15 and y = x-7

Step-by-step explanation:

We are asked to write a system of equations with the solution (4,-3)

It is sufficient if we find two lines passing through this point.

Let us take first line as with slope 3.

Then the equation would be of the form

y-y1 = m(x-x1)

y+3 = 3(x-4)

Or y = 3x-15 is one line

Let second line have slope 1

y+3 = 1(x-4)

y = x-7

Now we have two systems of equations as

y = 3x-15 and y = x-7



kendrick can finish a 240 page book in 2 hours. how many pages does he read per minute?

Answers

He reads 2 pages per minute. So Divide 2 hours in it's minute form by 240. So like this:

240÷120=2

Kendrick can read 2 pages per minute if he can finish a 240-page book in 2 hours.

The question asks how many pages Kendrick can read per minute if he can finish a 240-page book in 2 hours. First, we need to transform the hours into minutes. Since there are 60 minutes in an hour, 2 hours equate to 120 minutes. Next, to find out how many pages Kendrick reads per minute, we divide the total number of pages by the total number of minutes.

240 pages ÷ 120 minutes = 2 pages per minute.

Therefore, Kendrick reads 2 pages per minute.

which of the following is a true statement?

Answers

A I think

it could be wrong though


A is the correct answer

two factors of 38 add up to 15 what are they

Answers

Answer: The answer to this problem is: no solution


Step-by-step explanation: The trick to solving this problem is listing out 38's factors:

1, 2, 19, 38. As you can see, none of these pairs add up to 15, so there is no solution (unless you are talking about fraction factors)


Using the figure below, identify two line segments that complete the given expression: Given: FLAG is GXYZ is XY | | Segment GF Segment AL Segment GZ Segment GX Segment FL

Answers

Answer:

Segment XY is || GZ & FL.

Step-by-step explanation:

If you look at the figure closely, you will see that the only two parallel segments are the above.

Hope this helps.

For any three consecutive numbers, what can you say about odd numbers and even numbers?Explain

Answers

Adding three consecutive odd or even numbers is the same as multiplying the middle value by 3

Approximately 3 out of every 25 Americans live in California. About 3 out of every 50 Americans live in New York, and about 2 out of every 25 Americans live in Texas.
A. Which state has the largest population?
b Which state has the smallest population?
C. About what percentage of Americans do not live in California, New York, or Texas?

Answers

Convert all statistics into percentages:

CA: 3/25=0.12 -> 12%

NY: 3/50=0.06 -> 6%

TX: 2/25=0.08->8%

(A) Out of the three states, California has the largest population

(B) Out of the three states, NY has the smallest population

(C) USA=100%, CA+NY+TX=26%, therefore 74% of USA do not live on those three states.  

whats the answer to 2 2/8

Answers

2 2/8=10/8     22/8=2 6/8 or 2 3/4

if you are trying to make it an improper faction it would be 9/4

given the function f(x)=(x+2) find each if the following f(1), f(-10),f(0)

Answers

F(1)= 3
F(-10)= -8
F(0)= 2
I see someone already gave the answer but I’ll explain I️t so you understand. When you are trying to figure out f of something you plug those numbers into your equation to get the answer.

You decide to start baby-sitting. You find out it is $42 for the CPR certification. Your
mom is going to charge you $1 for gas and use of her cell phone for each hour you
baby-sit as she has to drive you to all of your jobs. If you charge $8 an hour for each
hour you baby-sit, how many hours will you need to work to break even in your new
venture?

Answers

You will work 6 hours to earn $48. you will just break even

HELP DFASSSSSSSSSTTTTTTT PLZZZZZ   


If 4a = 4, then a = 1 Which property is demonstrated by the example? A) distributive property B) identity property for addition C) multiplicative property of zero D) identity property for multiplication

Answers

A. distributive property

i hope this helps

A is your answer because 4×1=4 so it means that it is thedistributive property


Rubber band is 3 eanch long.its stretched to 24 inches.How many times longer is the rubber band now than it was stretched?

Answers

This would be 72 Inches. Or 6 feet.

A car travels 150km on 12 L of gasonline. How many liters are there of gasoline needed to travel 500km

Answers

150 = 12
150 +150 = 300 which = 24
150 + 150 + 150 = 450 which =36



the remaining 50 is 12 ÷ 3, so 4. 36 + 4 = 40.

therefore, 40 L of gasoline are needed to go 500km

You can use the given distance to amount of gasoline used relationship to find how much gasoline is needed for 1 km of traveling. Then use that data to find the amount of gasoline needed to travel 500 km.

The amount of gasoline needed to travel 500 km is 40 L

How to find the gasoline used for 1 km of distance traveled?

We can equate the 150 km figure to 12 L use of gasoline on the basis of usage.

Thus,

[tex]\rm 150 \: km = 12 \: L\\\\\\\text{Dividing both quantities in 150 parts}\\\\\\dfrac{150}{150} \: km = \dfrac{12}{150} \: L\\\\1 \: km = 0.08 \: L[/tex]

Thus, there will be use of 0.08 L gasoline for travelling 1 km by that same car.

Using that above derived relationship, we can find the amount of gasoline needed to travel 500 km by that same car.

[tex]1 \rm \: km = 0.08 \: L\\\\\text{Multiplying 500 on both the sides}\\\\500 \: km = 40 \: L[/tex]


Thus,

The amount of gasoline needed to travel 500 km is 40 L

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The Jones family traveled 314 miles each day until they reached their destination, which is 1,256 miles away from their starting point. How many days did they drive until they arrived at their destination?

Answers

It took them 4 days until they arrived at their destination.

314 × 4 = 1256

Another way of solving it:

Total amount of miles ÷ miles per day = The amount of days.

1256 ÷ 314 = 4

Ig yook yen 4 days to get to their destination.

HELP PLEASE!!!!!!!!!!!!!! PLEASE!!!!!! I GIVE BRAINLIST <#3

Answers

11.)

 x                                y

75                          50

175                        50

x                           y


10. it isn't a function because an x value was repeated

11. x= 1,2,3,4

y= 125, 175, 225, 275

this is a function

Billy has $18.36. he bought turtle and cat treats. how much money did he have left?

Answers

it depends on how much the turtle and the dog treats are use that like 5 dolor each so im going to say 8 maybe

c-t = x

it should tell you how much each thing cost. But,if you want that answer take your shot

find the difference 572-284

Answers

Answer:

288

Step-by-step explanation:


all you have to do is subtract 572-284 to get your answer of 288

Does the function have a constant rate of change?

Answers

Yeah, it's constant. The plane's going down 3000 every min.

-15h + 100 = 40, but what is the value of k?

Answers

I don't know if you accidentally put down the wrong variable, but the answer for h would be h=4. First things first, you have to subtract 100 from both sides, and this would become -15h=-60. After that, divide -15 on both sides, thus it leaves you with h by itself and it's value is 4. h=4

Hope this was helpful:)

Use the method of completing the square to solve x2-8x+7=0

Answers

A should be your answer no 100 %


[tex]Solution, solve\:for\:x,\:x^2-8x+7=0\quad :\quad x=7,\:x=1[/tex]

Steps:

[tex]Solve\:with\:the\:quadratic\:formula, \mathrm{For\:}\quad a=1,\:b=-8,\:c=7:\quad x_{1,\:2}=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:7}}{2\cdot \:1},\\[/tex]

[tex]x=\frac{-\left(-8\right)+\sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:7}}{2\cdot \:1}:\quad 7[/tex]

[tex]x=\frac{-\left(-8\right)-\sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:7}}{2\cdot \:1}:\quad 1[/tex][tex]\mathrm{The\:final\:solutions\:to\:the\:quadratic\:equation\:are:} x=7,\:x=1[/tex]

The correct answer is B.

True or False? The following is an example of inductive reasoning: In your study of geometry, you notice that every square you have seen is also a rectangle. You conclude that this is true in all cases.

Answers

I believe this is true

Answer:

true

Step-by-step explanation:

Carol is given a 10% pay decrease. Her new wage is £306 per week. What would be her weekly wage if, instead, she had received a 10% pay increase?

Answers

Final answer:

To find Carol's weekly wage with a 10% increase, first calculate her original wage before the decrease, and then apply the 10% increase to this original wage to find the new increased wage.

Explanation:

The question involves calculating Carol's original weekly wage prior to the 10% pay decrease to find out what her wage would be with a 10% pay increase instead. To calculate the original wage before the decrease, divide the current wage (£306) by 0.9 (since 10% decrease implies she's now getting 90% of her original wage). After finding the original wage, we can calculate what her wage would be with a 10% increase by multiplying the original wage by 1.10.

First, let's find the original wage: Original Wage = £306 / 0.9. Now that we have Carol's original wage, we can calculate the 10% increase: New Wage with 10% Increase = Original Wage × 1.10.

Following these steps, we can determine what Carol's wage would have been if her pay had been increased by 10% instead of decreased.

You and a friend each roll a standard die to see who goes first in a board game. What is the probability that at least one of you rolls a 6?

Answers

Answer:

2

--

6

Step-by-step explanation:

2 over 6

Answer:

the answer is 11/36

Step-by-step explanation:


Uncle Percy sold t-shirts at the show. Now he only has 10% of the t/shirts now, how many did he start with?

Answers

Answer: He started with 250 t-shirts.

Step-by-step explanation:

Let the total number of shirts he start with be 'x'.

He has only 10% of the t-shirts.

Number of t-shirts he has now = 25

According to question, it becomes,

[tex]\frac{10}{100}\times x=25\\\\0.1\times x=25\\\\x=\frac{25}{0.1}\\\\x=250[/tex]

Hence, he started with 250 t-shirts.

Thus, Second option is correct.

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