the line passes through (-6,9)
perpendicular to y=3x-2

Answers

Answer 1

The key to understand this problem is that perpendicular lines have slopes that are the negative reciprocals of each other. Example, a line with slope 3/4 has a perpendicular with a slope of -4/3. So flip it over and take the negative. Like 7/12 and -12/7 or 2 and -1/2 (because 2 = 2/1)

The slope of y = 3x - 2 is 3 (the number preceding the "x' if the line is in the form y = mx + b)

So the line perpendicular to y = 3x - 2 has a slope of -1/3.

So now you just need to write the equation of the line with slope -1/3 that goes through (-9, 5). Use the point-slope form, y - y1 = m(x - x1) where (x1, y1) is (-9, 5) and m = -1/3

y - 5 = -1/3(x - -9)

y - 5 = -1/3(x + 9)

That's the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.

y - 5 = -1/3(x + 9)

y - 5 = -1/3x - 3

y = -1/3x + 2


Related Questions

Help plz.



3:5=____%

Answers

Answer:

3:5=_____%

Step-by-step explanation:

3:5 equal to 60%

Doctors are interested in determining if the human body temperature is really 98.6 degrees. he selects 30 students and records their temperature using a digital thermometer. what type of test would they conduct to test this claim?

Answers

Answer:

I think its one mean, if it's not I'm very sorry

In order to corroborate his assertion that the average body temperature is lower than 98.6 degrees Fahrenheit, the croaker created a test statistic.

What's Test Statistic?

A test statistic is a figure attained from a statistical analysis. It explains how far your observed data is from the null thesis, which states that there's no correlation between the variables or distinction between the sample groups.

Test statistics are statistics that are produced from samples to determine whether or not to accept the null thesis.

A sample is data that represents a portion of the population. In other words, it's a gauged - down interpretation of a larger group.

The croaker conducted a thesis test in order to corroborate the information that has been handed in the question. And he calculated the test statistic, or arbitrary data from the sample taken from the population data, for the thesis test.

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ΔCDE was translated down and right to form triangle
ΔC′D′E′ Which statements are true? Check all that apply.

Answers

Answer:

1) DE ≅ D′E′  

2) EC ≅ E′C′  

5) D′C′ ≅ DC  

6) ΔCDE ≅ ΔC′D′E′

 

Hope it helps!

Why does the slope intercept forumla use m and b.

Answers

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b= y-intercept

Please solve: 7x - 4 = 2

Answers

7x - 4 = 2 ⬇️
add four on both sides
7x = 6 ⬇️
divide both sides by seven to isolate X
x = 6/7
converted to decimal form: 0.85714285714...

ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the answer is 1/10 :))))))))

The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.

One dog’s vitamin C level was not in the normal range. It was 0.9 milligrams per liter, which is a very low level of vitamin C.

If the value 0.9 is eliminated from the data set, does the mean increase or decrease?

Your answer:
I will give you 5.0 and a thanks and maybe brainliest

Answers

Answer:  The mean increases.

Step-by-step explanation:

The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L.  It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set.  That would do 2 things:  1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.

Ill reward you a bounty of 100 points! plus brainiest if you are the first one to answer my question:

Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.

Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.

For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
*Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.

Answers

Answer:

The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht

Recall:

Pythagorean Theorem applies to a right triangle where and c is the hypotenuse.

If we know the two of the three side lengths of a right triangle, we can find the other third length.

An example of a scenario where the Pythagorean Theorem can be applied to solve a real-world problem can be sketch in a diagram

Therefore:

The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht

Step-by-step explanation:

#Nova

Have a good day

Hi I was wondering if I could get some help with this question please 26POINTS!!
PLEASE HELP
given the parent function f(x)=√x and a new function g(x)=√x+6+3. Select from the drop-down menus to correctly describe the changes on the graph from f(x) to g(x).

The graph will shift 6 unit______and 3 units______.
choices:up up
down down
left left
right right

Answers

Answer:

The graph will shift 6 unit  left   and 3 units    left

Step-by-step explanation:

[tex]g(x) = \sqrt{x+6+3}[/tex]

Question 1 (3 points) What value of p makes this equation true? 3p - 8 = -23 . O p = -6 Op = -5 Op = 5 p = 6​

Answers

The value of p that makes the given equation true is equal to: B. p = -5

Given the following equation:

[tex]3p - 8 = -23[/tex]

To find a value of p that makes the given equation true:

In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.

Rearranging the equation by collecting like terms, we have:

[tex]3p - 8 = -23\\\\3p=-23+8\\\\3p=-15\\\\p=\frac{-15}{3}[/tex]

p = -5

Find more information: https://brainly.com/question/3600420

which is not a factor of 36​

Answers

Answer:

all numbers to 36 except 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Step-by-step explanation:

How long does it take to get sat results.

Answers

13 days after you take the SAT

Use mental math to find the partial products 3,000 x 5=

Answers

Answer:

15,000

Step-by-step explanation:

3 times 5 is 15, just add the 3 zeros.

15,000 is the partial product of 3000*5.

What is partial products?

A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.

Given that, 3000*5

3000*5 = 15000

Hence, the partial product of 3000*5 is 15000.

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4. How many y-intercepts can the graph of an absolute value function have?

Answers

Answer:     a function can only have one y-intercept.

Combine the like terms to create an equivalent expression:
-12-6p-(-2)

Answers

Answer:-2(5+3p)

Step-by-step explanation:

-2(5+3p) trust me this is really simple if you just think about it

What is 121 divided by 18?

Answers

Answer:

6.7222222222

Step-by-step explanation:

This Maths Is Easy, Y Did You Post It?

Answer:

=6.7222222222

Step-by-step explanation:

Easy peesy lemon squezy!

The Roosevelts and the Jaspers live in the same city and pay the same sales
Roosevelts made $91,000 and the Jaspers made $37,000 last year, is the
sales tax in their city an example of a regressive tax?
tax rate, and both families made $16,000 in taxable purchases last year. If the If

Answers

Answer:

Yes, the sales tax in their city is an example of regressive tax

Step-by-step explanation:

Firstly, we need to understand what is meant by the term regressive tax.

What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.

Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.

For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%

For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%

We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax

How do u solve this? pls LOL

Answers

Answer:

8

Step-by-step explanation:

HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .

Hence the smaller and the larger triangle will be similar to each other.

Also we know the corresponding sides of similar triangles are proportional .

=> 10 / z = 10+5/12

=> 10/z = 15/12

=> z = 10 *12/15

=> z = 8 yards

Answer:

8

Step-by-step explanation:

Suppose that you randomly selected 22 adults. If 10% of the population smoke, a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 22 adults?

Answers

Answer: 2 to 3 people who would be smoking

Step-by-step explanation:

22 divided by 10 = 2.2

and since there could be more

or less so it could be 2 or 3

what is the common denominator 4/15 and 1/3? Need answers ASAP​

Answers

Answer:

15

Step-by-step explanation:

To find the common denominator we look for the LCM

15: 15,30,45,60

3: 3,6,9,12,15

Our LCM is 15

Meaning our LCD is 15

Brainliest please :)

Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?

Answers

0 and 2

Step-by-step explanation:

If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.

e^ln(5x) =

5x
ln(5)
5ln(x)
ln(x)

Answers

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:

[tex]e^{ln(x)} = x[/tex]:

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).

[tex]e^0 = 1[/tex]:

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

[tex]e^{ln(5x)[/tex]

Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:

5x

Therefore, the correct option is "5x."

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

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50 POINTS!!

Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference

Answers

Answer:

x² + y² = 169

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.

Substitute (12, 5 ) into the equation

12² + 5² = r²

144 + 25 = r²

169 = r²

Then equation of circle is

x² + y² = 169

Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =

Answers

3 exponent 2 × 5 exponent 1 × 7 exponent 1

The store owner purchased 26 shirts for $810.68. How much did each shirt cost?​

Answers

Answer:

$31.18

Step-by-step explanation:

810.68/26=31.18

Answer:

$31.18 e/a

Step-by-step explanation:

Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?

Answers

Answer:

  $45.02

Step-by-step explanation:

The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:

  $225.10 × 20% = $45.02

Harry will leave $45.02 as a tip.

Does anyone know this answer??

Answers

Answer:

(2, -9)

Step-by-step explanation:

2 - (-9) > 8      First, substitute the values for x and y.

2 + 9 > 8        

11 > 8              The inequality is true, so (2, -9) is the correct pair.

Answer:

Answer is C

Step-by-step explanation:

basically you substitute (X,Y) in X-Y >0. so X-Y should be greater than 0. also, make sure you use the signs properly.

so in C. 3--10 > 0 so negative sigs cancel each other out so its 3+10 so 13> 0

Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.
How much farther did Molly walk than her brother and sister combined?
O 0.38 miles
1.37 miles
O 2.22 miles
O 5.53 miles

Answers

Answer:

1.37 miles

Step-by-step explanation:

First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.

How many whole groups can you fit into 51?

Answers

Step-by-step explanation:

in one group 17members

in second group 17members

in third group 17members

Hope it helps ohh God! please make your question a little easier so the other person can understand what you mean to say/ask when we read.

Pls help, I need (c) of the problem 3-106

Answers

Answer:

Negative x minus two

Step-by-step explanation:

3 - (x + 5)

Distribute the negative sign:

3 - x - 5

Simplify:

-x - 2

In words:

Negative x minus two

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