Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.

Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.


Related Questions

find 5 rational numbers between 3/5 and 2/3​

Answers

This is the required answer <3

I need hel asap. PLEASE I WILL GIVE BRANLIEST

Answers

Answer:

x=12

Step-by-step explanation:

30/25=x/10

x=30×10/25

x=12

Toby had a package of markers.

​After he used 4 of the markers, there ​were 10 markers left in the package.

​Which equation can be used to ​find the number of markers that were in the package before Toby used ​the markers?

Answers

10x+4x=14. .............

a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism? ANSWER ASAP

Answers

Answer:

192

Step-by-step explanation:

at 1/4 unit length, each side of one cubic unit would be 4.

so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.

64 x 3 = 192

Answer:

your answer will be 192

Step-by-step explanation:

hope it helps

Write an equivalent expression for b + b + b + r

Answers

Answer:

b3+r

Step-by-step explanation:

Answer:

3b + r

Step-by-step explanation:

Combine like terms to simplify this expression.  Note that b + b + b = 3b.

Thus, the given b + b + b + r condenses to 3b + r.

If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.

Answers

Answer:

height = 8.5 feet

Step-by-step explanation:

Area of a triangle formula:

a=1/2bh

substitute what's given

93.5 = (1/2)22h

93.5=11h

divide both sides by 11 to isolate h

h=8.5 ft

if x= 0, 2,-2 find the value of x3-1 help plz ​

Answers

when x =0

[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]

When x =2

[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]

when x =-2

[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]

URGENT:
M is the Centriod of DEF

Answers

Answer:

A

Step-by-step explanation:

2/3 the way so you would do 6 plus 3, because 3 is half of 6

Before​ work, Penny spends 1/2 hour getting​ showered/dressed, 1/4 hour eating​ breakfast, and 1/12 hour making lunch. What fraction of an hour does she spend doing these​ activities?

Answers

Answer:

30 minutes getting showered/ dressed

15 minutes eating

5 minutes making lunch

Step-by-step explanation:

Find the missing side lengths. All answers should be in fully simplified form.
a=?
b?

Answers

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6

Answer: a= [tex]5\sqrt{3}[/tex] b= 5

Step-by-step explanation:

sin 60=a/10

[tex]\frac{\sqrt{3} }{2}[/tex]=a/10

[tex]10\frac{\sqrt{3} }{2} =a[/tex]

[tex]5\sqrt{3}=a[/tex]

cos 60=b/10

.5=b/10

5=b

What is the missing value in the table below?

Answers

Answer:

11

Step-by-step explanation:

A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?

Answers

Answer:

$17.00

Step-by-step explanation:

10 x 1.70 = $17.00

Answer:

The retail price is $17.00

Step-by-step explanation:

round to nearest hundredth :3,353

Answers

Answer:

3,000

Step-by-step explanation:

Since the next number is less than 5 you round down

what is the gcf (greatest common factor) of 9/45​

Answers

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

9

GCF of 9 and 45 is 9

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

standard form 2.975 x 10-7-

Answers

22.75 I have no explanation I just used a calculator :)

Help plz!!!!!!! Help plzzzz!!!!!!

Answers

-2 = 0.12
-1 = 0.6
0 = 3
1 = 15
2 = 75

What is the area of the obtuse triangle?

Answers

Answer:

C

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 8 = 7 × 8 = 56 in² → C

What is an equation of the line that passes through the points (-8, 4) and (-8, 8)?​

Answers

Answer:

x = -8

Step-by-step explanation:

The line is a vertical line with x-intercept of -8

PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.

Answers

Answer:

a + (6 -2)

I'm not completely sure, but I hope this helps.

A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet

Answers

Complete Question:

A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.

What is the area of the base of the pedestal?

Answer:

45 square feet

Step-by-step explanation:

Given the following data;

Volume of pedestal = 405 ft³

Height of rectangular prism = 9 ft

To find the area of the base of the pedestal;

Volume of pedestal = base area * height

405 = base area * 9

Base area = 405/9

Base area = 45 square feet.

Therefore, the area of the base of the pedestal is 45 square feet.

Answer:

45 square feet

Step-by-step explanation:

hii please help i’ll give brainliest!!

Answers

Answer:

It is Acceleration have a good day!

Answer:

Resistance

Step-by-step explanation:

Its D Because all the other ones aren't as close and to D aka Resistance

Pls I need help ASAP

What is 2.5 - 1.4

Answers

Answer:

1.1

Step-by-step explanation:

4. Find the area of this figure.
15 ft
10 ft
10 ft
5 ft
5 ft
5 ft
5 ft
5 ft

Answers

Answer:

I believe it is 100 ft

Step-by-step explanation:

Solve for x: 5x = 2/7

Answers

5x=5=2/7 divided by 5

X=2/7 x 1/5

X=2/35

X=0.0571428

Hailey solves the equation shown.
1/4(2 – x) = 5+ 3x
In which step does Hailey make her first error?
Step 1: 1/2 - x = 5+ 3x
Step 2: 1/2 = 5 + 4x
Step 3: – 9/2 = 4x
Step 4: -9/8=x


Answers

Step one, didn't apply the 1/4 to x.

=



Teresa works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $8.10 an hour for babysitting. How much will she earn for 7 hours of
mowing and 1 hour of babysitting?

Answers

Answer: 68.3

Step-by-step explanation: 8.60x7+8.10=68.3

5. Brody bought 12 books. Two-thirds of the books are science fiction.
How many books are science-fiction? *
Vour answer

Answers

Answer:

8

Step-by-step explanation:

12 divided by 3 is 4 and since its 2/3 you multiple 4 times 2 giving you 8

Answer:

8

Step-by-step explanation:

Multiply amount of books by the fraction of

How do snakes get their energy in this food web? A) By consuming toads and mice B) By consuming deer and raccoons C) By consuming grass and deer D) None of the above

Answers

D none of the above

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

Find the greatest common factor of 14 and 28​

Answers

The greatest common factor of 14 and 28 is 14
Other Questions
A disease caused by the inflammation of mucus membranes inside the bronchial tubes. There are more than 3 million U.S. cases a year. What was the main goal of the Farmers Alliance? Item 2A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.What is the student's median unit test score?Enter your answer in the box. To manage your time effectively, you need to plan how long it will take to do each taskand then set aside that amount of time; fortunately,It is easy to predict how long a task will usually take.most learning tasks are independent and do not vary from one instance to another.there are some tools and apps to help manage one's time.All of the above.None of the above.THE LINK DOESNT WORKPlease take picturesWill mark brainliest!!! Joe will have to pay a tax of 6% on his new television. The television costs $199. Estimate the sales tax. For a specific cactus plant, cacti homologous for red flowers were crossbred with cacti homologous with white flowers. The next generation was 100% pink. Which genetic term best describes this result? Explain your reasoning. The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:i)Write an equation for the length (l) in terms of the width (w).Use your understanding of simultaneous equations to determine the unknowndimensions.Find the area of the rectangle. Using the diagram below, answer the following questions:- True or False. The arrow labeled C represents a transfer of chemical energy to mechanical energy. Explain why this is true or false.- True or False. The arrow labeled A represents a transfer of solar energy to chemical energy. Explain why this is true or false.- Which arrow or arrows represent a release of carbon dioxide? What process is occurring at the arrow(s) you selected?- Which arrow or arrows indicate a process that cycles carbon from living or nonliving organisms? Describe the process or processes you selected.- Which arrow or arrows represent reactions that demonstrate a conservation of mass and energy? Explain your answer. F.T. is a 70-year-old African American man who comes to the emergency department (ED) complaining of increased shortness of breath. He states that he started using his albuterol inhaler every 4 hours a few days ago, but it does not seem to be helping. He has been having trouble sleeping or doing any activity because of his shortness of breath.SUBJECTIVE Data:PMH: COPD, hypertension, and benign prostatic hyperplasia. No history of allergies.Medications: metoprolol (Lopressor) 50mg/day PO, furosemide (Lasix) 20mg PO daily, finasteride (Proscar) 5mg/day PO, Advair inhaler (fluticasone and salmeterol) 2 puffs bid, and albuterol inhaler 2 puffs q4hr PRN. Does not use O2 at home.Health PerceptionHealth Management: F.T. states he usually manages his COPD well with the Advair inhaler and occasional use of albuterol inhaler PRN. He thinks he caught a cold from his granddaughter last week. Increasing difficulty breathing, even with albuterol. Has a history of 30 pack-years of smoking, quitting 5 years ago.Nutritional-Metabolic Pattern: Not eating, drinking very little over past 2 to 3 days.Activity-Exercise: At present, cannot walk 100 feet without feeling short of breath, nor walk up one flight of stairs without stopping to catch his breath.Sleep-Rest: Difficulty sleeping at present. Last night he slept upright in his recliner.Cognitive-Perceptual: Denies any pain associated with shortness of breath. Feels slightly irritable because of lack of sleep.CopingStress Tolerance: Denies any stress or emotional disturbance.Discussion Questions1. What type of assessment would be most appropriate for F.T.: comprehensive, focused, or emergency?2. From the information provided by F.T., what other information would you ask him about his condition (time permitting)?3. How will you individualize the assessment based on his current physiologic condition?4. What considerations will you make based on his age? Ethnic/cultural background?5. Of the information provided, which subjective assessment findings are of most concern to you?6. F.T. cannot use his inhaler appropriately while he is talking with you. Is this an appropriate time to teach him about the proper use of his inhaler?7. What should be included in the physical assessment? What do you think will be the priorities in your physical assessment? in the sequence 113, 93, 77, 65, 57,, what number should come next?a) 55b) 54c) 53d) 51 The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region? look photoplz plz help What is one example of a pan lan man and a wan The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line? The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway? Can someone plz help me with this the answer choices are at the bottom plz I beg u [What does it mean for a virus to "infect" a cell?The virus lands on the outside of the cell and remains there until the cell produces more viruses.The virus lands on the outside of the cell and eats proteins on the surface of the cell.O The virus lands on the outside of the cell and injects its genetic material into the cell.The virus lands on the outside of the cell and injects its proteins into the cell. another word for enviable A compact cluster of spore-bearing structures insome seedless vascular plant sporophytes. what number is 30% greater than 20?