23. Describe the slopes of perpendicular lines

Answers

Answer 1

Answer:

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.

Answer 2

The slopes of perpendicular lines when multiplied together gives the product as -1.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

Suppose the two perpendicular lines have equations as follows,

y = m₁x + c₁ and y = m₂x + c₂.

Suppose m₁ = tan θ

Then, m₂ = tan (90° + θ)

Apply the trigonometric identity to obtain,

m₂ = tan (90° + θ) = -cot θ

Now, m₁ × m₂ = tan θ × -cot θ = -1

Thus, the products of slopes is -1.

Hence, the product of slopes of two perpendicular lines is -1.

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Related Questions

HELP PLEASE!!!!dont answer just for points:(

Answers

Answer:

15 is 50% of 30

and 75% of 20

What kind of sequence is this? 39, 156, 468, 936

Answers

Answer:

Geometric

Step-by-step explanation:

The given sequence is; 39, 156, 468, and 936 Geometric sequence.

What is a geometric sequence and how to find its nth term?

Three parameters differentiate between which geometric sequence we're talking about. The first parameter is the initial value of the sequence. The second parameter is the quantity by which we multiply the previous term to get the next term. And the third parameter is the length of the sequence. It can be finite or infinite.

Consider that the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r.

Thus, the nth term of such sequence would be; [tex]T_n = ar^{n-1}[/tex]

We have been given that the sequence is; 39, 156, 468, 936

Hence, the given sequence is; 39, 156, 468, and 936 Geometric sequence.

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Answer:

[tex]wxy = 6 \times 147 \times 3.6 \\ = 3175.2[/tex]

PLEASE HELP QUICK!! I am very confused and I don't understand this at all any help will be appreciated right answers will be marked brainliest :)!! Your project must have your name, title, a PRE-IMAGE, Reflection over the y-axis, and a Translation of (x+15, y-20)
50 POINTS!!

Answers

Answer:

you need to explain more of what you are wanting me to do befor I can answer this question

You walk back and forth to school every day. The school is 1.25 km from your home. What is the distance you walk, in meters, every day? (1km =1000m)

I need this before 2:13

Answers

Answer:

1250

Step-by-step explanation:

1 km = 1000 meters

so we have 1000 plus 0.25x1000=250

1000

250

_____

1250

Write an expression that models the situation. Ruben has 83 red peppers and g green peppers. What is the total amount of peppers?

Answers

Answer:

83 + g

Step-by-step explanation:

The total amount of peppers is calculated as:

Number of red peppers + Number of green peppers

Ruben has 83 red peppers and g green peppers.

The total amount of peppers =

83 + g

Therefore, the expression that models the situation =

83 + g

PLEASE I BEG OF YOU TO HELP ME PLEASE

Answers

Answer:

its B

Step-by-step explanation:

i did it earlier today

Answer:

Step-by-step explanation:

-1x-12≤-4

-x≤8

x≥-8

About 3 out of every 5 customers order breadsticks. If there are 40 customers, how many would you expect to order breadsticks?

Answers

Answer:

Step-by-step explanation:

3 out of 5 is 60% and 60% of 40 is 24

You can figure out 60% of 40 by multiplying .60x40 =24

Answer:

24 ?

Steps:

3 customers order breadsticks out of every 5 customers so.

5 times 8 equals 40

so do 3 times 8 which equals 24

if im doing this correctly i-

Part C
How many combined bits of storage are there on the two tablets?

Part D
Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.

Part E
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.

Answers

Answer: Part C 32 bits

Step-by-step explanation: because each tablet has 16 bits.

I only have part C. Sorry

Answer:

c- 3.2 x10^11 bits of storage

d- 2.176 x10 ^12

e- 5.824 x10^12

Step-by-step explanation:

Each of the options below show a point before and after that point was transformed by a dilation centered at the origin. Which of the points below was dilated by a scale factor of 2? Select all that apply. A) Before: (2, 4), After: (4, 8) B) Before: (1, 5), After: (2, 10) C) Before: (4, 3), After: (6, 5) D) Before: (3, 4), After: (6, 8)

Answers

Answer:

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

Step-by-step explanation:

A letter from the word CONFIDENCE is chosen at random, then a card is drawn from a standard deck. What is the probability of getting a consonant, them a red card or ace.

Answers

Answer:

9/26

Step-by-step explanation:

Word : CONFIDENCE

Consonants in word : C, N, F, D, N, C = 6

Total alphabets = 10

Probability =required outcome /Total possible outcomes

Probability (consonants) = 6 /10 = 3/5

Number of red catds in deck = 26

Number of aces in a card deck = 4

Total number of cards = 52

P(red) or P(ace)

(4/52) + (26/52) = (4 + 26) / 52 = 30 / 52 = 15 / 26

P(getting a consonant, then a red card or ace)

(3 /5) * (15/26) = (3 * 15) / (26 *5) = 45/130 = 9/26

PLZ HELP WILL GIVE BRAINLIEST

Choose the correct reason to justify each of the first four statements in the derivation. 1) a2 = h2 + x2

Answers

Answer: Its Either the First One, Or the Third One!, You Should get 2 Chances on Edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

n=5

Step-by-step explanation:

interior angle of polygon=(n-2)180=(5-3)180=2×180=360

A taxi leaves an airport and travels 15 miles east to
drop off a passenger. The taxi driver then has to go
to a point that is 35 miles west of the airport to
drop off his second passenger. He then returns to
the airport to pick up his next fare. How many
miles did he drive?

Answers

Answer:

70 miles

Step-by-step explanation:

15 + 35 + (35 - 15) = 15 + 35 + 20 = 70

How do I answer this

Answers

Your answer is m .....

Answer:

yeah answer is m I think it is correct answer

Help ASAP!!! Easy question i guess?
Which of the following two-dimensional shapes can be rotated to create a sphere?

A. Triangle
B. Square
C. Circle
D. Ellipse

please give an explanation and not just a letter or answer. Thank you....

Answers

Answer:

C. Circle

Step-by-step explanation:

A sphere is just a three dimensional circle, if you rotate a two dimensional object it becomes three dimensional.

Answer:

circle

Step-by-step explanation:

is your answer.......

B
13
А
5
12
С
Find cos(B) in the triangle.

Answers

Step-by-step explanation:

[tex] \cos( \beta ) = \frac{5}{13} = 0.385[/tex]

Cos (B) in the right angled triangle is 5/13 .

Given,

Right angled triangle .

Now,

In right angled triangle

Perpendicular = 12

Base = 5

Hypotenuse = 13

So,

According to trigonometric functions,

CosФ = base / hypotenuse

sinФ = perpendicular / hypotenuse

tanФ = perpendicular / base

So,

Substitute the value in the function of cos,

Cos(B) = base / hypotenuse

Cos(B) = 5 / 13

Thus the value of function cos (B) is 5/13 .

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The hypotenuse of a right triangle is 78 feet. One of the legs of the triangle is 30
feet. What is the measurement of the missing side? *

Answers

Answer:

b=72

Step-by-step explanation:

2/3 times what equals 3

Answers

Answer:

Should be 5 or 6

Step-by-step explanation:

Passes through 5,4 slope -3 ASAP

Answers

The answer should be
Y=-3x+19

What is the scale factor of the dilation shown?

(Help please) geometry

Answers

The answer is 2/3 I hope it helped

Round 7,127 to the nearest hundred.

Answers

Answer:

7,100

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Find the missing part.
x= ?

Answers

Answer:

X = 2√41

Step-by-step explanation:

Uaing the pothagorean therom, (a squared plus b squared equals c squared) find the square of both 8 and 10 which are

8 squared - 64

10 squared - 100

Add them together to get

164

√164 = x

You can reduce that to 2√41

Help pls! answer choices listed!!

which statement about y = x^2 + 5x - 24 is true?

a. The zeros are -3 and 8, because y=(x - 3)(x + 8)

b. The zeros are 3 and -8, because y=(x - 3)(x + 8)

c. The zeros are -3, and 8, because y=(x + 3)(x - 8)

d. The zeros are 3, and -8, because y=(x + 3)(x - 8)

Answers

answer: b
it’s factored correctly and the zeros are correct

i dont get the question

Answers

Answer:

(4,2) suffices the linear equation, for example.

Step-by-step explanation:

We are asked for any other pair [tex](x,y)[/tex] that suffices [tex]2y-3x = 5[/tex]. We can try [tex]x=1[/tex] (any other value also works because this is a line) and see that (4,2) suffices.

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