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

Which equation is written in slope intercept form?
a) 2x + 8 = 4y
b) 2x + 7y = 1
c) y = - 4x + 11
d) x = x +4




I NEED HELP WITH THIS!!!! PlS HELP! I will mark you as b

Answers

The answer is A

EXP:Because it is written in that form

What’s the correct answer?

Answers

Answer:

1

Step-by-step explanation:

take your intial value multiplied but the value it's retaining. it's losing 4.5%, or .045, so it's keeping .055 of it's value, then to the power of 5 because it's 5 years later

PLXXXXXXXXXXZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:2

\left(-3\times \:3\right)+15-2^2

=-9+15-2^2

-9+15-4

=6-4

6-4=2

the answer is 2

If 20% of a number is 160 then the original number is

Answers

Answer:

800

Step-by-step explanation:

160 * 100% / 20% = 800

If 20% of a number is 160 then the original number is 800.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that 20% of number is 160

We need to find the original number.

Let the original number be x

Convert 20% to decimal value by dividing 20 with 100

20/100=0.2

Now multiply 0.2 with x which is equal to 160

0.2x=160

Divide both sides by 0.2

x=800

Hence, If 20% of a number is 160 then the original number is 800.

To learn more on Percentage click:

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Find the value of each variable.

Answers

Answer:

a. a×3= -30

a= -30-3

a= 33

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Answers

Answer:

i think it is A

PLEASE help me. This is due today

Answers

Answer:

negative linear

Step-by-step explanation:

Answer:

A. A negative linear association

Step-by-step explanation:

The points are close enough for a line of best fit, therefore they are linearly associated and they are going down so it is negative association.

What is the greatest common factor of 45x^3, 24x^2, and 16x?

Answers

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,085 gallons of water, and is leaking at a rate of 20
gallons per day.
If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool
after 103 days?

A. 15,025 gallons
B. 16,055 gallons
C. 17,188 gallons
D. 19,145 gallons

Answers

A cause if you add and multiple you get it

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. .............

Select the correct answer.
Which of these is the standard form of the following function?
f(1) = 7(1 - 1)2 + 3
OA. f(x) = 7x2 14r + 10
OB. f(x)
7x2 14 - 10
O c. f(0) = -7x2 14r + 10
OD. f(x) = -732 – 141 – 10
Reset
Next

Answers

Answer:

answer is: 7x^2-14x+10

Step-by-step explanation:

Law of Sines: Homework please help

Answers

Answer:

37+12 =49_218+54=4554472287/41

Write the equation of the line that passes through the points (8,5) and (-8,-5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

x 8 skeiehrieheodbdoeneorbro

Answer:

y-5=5/8(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-5)/(-8-8)

m=-10/-16

simplify

m=5/8

y-y1=m(x-x1)

y-5=5/8(x-8)

Giovanni is visiting his grandmother who lives in an apartment building on the 25th floor. Giovanni enters the elevator in the lobby, which is the first floor of the building. The elevator stops on the 16th floor. What percentage of 25 floors does Giovanni have left to reach his grandmothers floor?

Answers

Answer:

the percentage is 36%

Step-by-step explanation:

The computation of the  percentage of 25 floors does Giovanni have left to reach his grandmothers floor is shown below:

= (25 floor - 16 floor) ÷ (25 floor)

= 9  floor ÷ 25 floor

= 36%

Hence, the percentage is 36%

can someone help me! The person who gets it right gets brainliest

Answers

Answer:

The answer is 17.6

Step-by-step explanation:

Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.

What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?

Answers

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

Learn more about the distance formula here:

brainly.com/question/18296211

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Which of the numbers below is irrational? Select all that apply.
A) 2.75
B) −16
C) 19−−√
D) 23−−√

Answers

Answer:

C and D

Step-by-step explanation:

both the squareroot of 19 and 23 are irrational because their square toots have decimals that go on infinately

Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Answers

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS

Answers

Answerloser

Step-by-step explanation:

Evaluate the algebraic expression when f+g f = 6, g = 8, h = 12 and j = 2.
A. 6 ------
B. 7 j
C. 14
D. 28

Answers

Answer:

the answer is 7 j

Step-by-step explanation:

b

If the speed of sound is 1230 km/h, calculate the speed of sound in metres per second.
Write down your answer correct to the nearest metre.

Answers

Answer:

342 m/s

Step-by-step explanation:

1230x 1000 = 1230000

1230000 / 60 = 20500

20500 / 60 = 341.666 = 342

Answer: 3.4 * 10^(5)

Step-by-step explanation:

Evaluate: 3000−3.5m when m = 100

Answers

Answer:

2650

Step-by-step explanation:

Ok so,

3000-(3.5(100))

3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)

so it would be:

3000-350

Simply subtract.

3000-350= 2650

Answer: 2650

Cheers! I hope you can understand it well.

geometric term that describes two edges that form a square corner

Answers

Answer:

Perpendicular lines

Step-by-step explanation:

Brainliest plz

Hope this helped

Ty

The St. Petersburg paradox goes as follows. A fair coin is tossed repeatedly until it comes up heads. If the first heads appears on the nth toss, you win $2 n . First, show that the expected monetary value of this game is infinite (the paradox is that no one would actually pay a huge amount to play this game). Second, consider a possible resolution of the paradox: suppose your utility for money is given by a log 2 x b where x is the number of dollars you have. Suppose you start with 0 dollars, what is the expected utility of this game

Answers

Answer:

a) attached below

b) 2a + b

Step-by-step explanation:

a) show that the expected monetary value of this game is infinite

Given that the probability of getting first head on nth toss = $2^n

attached below is the prove

b) what is the expected utility of this game

using the Logarithm ; [tex]U(x) = a log_{2} n + b[/tex]

x = number of dollars you have

attached below is a detailed solution to the given problem

2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
A: 19.63ft
B: 31.42ft
C: 15.7ft
D:7.85ft

Answers

Answer:

C

Step-by-step explanation:

using the formula for circumference of a circle.

2πr is the formula.

closest answer is 15.7 ft

What number would represent 2,345 feet above sea level?

Answers

Answer:

+ 2,345

Step-by-step explanation:

Above means positive, so the number would be positive.

New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles south would a plane need to fly from new York City to reach the equator?

Answers

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Solve the equation. You may find using algebra tiles to be helpful.


2x + 7 = 13

x =

Answers

move everything to one side
2x+7-13
=2x-6

Answer:

x= 3

Step-by-step explanation:

Move all the terms that do not contain x to the right side and solve.

Hope this helped!

⭐ Please consider giving Brainliest if this answer helped you ⭐

PLZ HELP!!! i dont know what to d0 :(

Answers

b. 4, -4, 5, -5

If you set up the __ + __ = b and __ • __ = ac you can plug in 4 for ac and find every number that makes it work then plug those into the other equation to get answers of 4, -4, 5, and -5

A bird sitting at the top of a tree looks down at an angle of 500 , at an earthworm on the ground. If the earthworm is 7m away from the base of the tree, determine the height of the tree to 1 decimal place.

Answers

Answer: 8.3 m

Step-by-step explanation:

Given

The angle of declination is [tex]50^{\circ}[/tex]

Earthworm is [tex]7\ m[/tex] away from the base of the tree

Suppose h is the height of the tree

from the figure, we can write

[tex]\Rightarrow \tan 50^{\circ}=\dfrac{h}{7}\\\\\Rightarrow h=7\tan 50^{\circ}=8.3\ m[/tex]

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