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

May you plz solve this

Answers

Answer:

Step-by-step explanation:

76-34=42

Answer:

42 degrees

Step-by-step explanation:

If you take 76 and subtract it from 34 you get 42 as your other angle.

Evaluate the expression for p = 5.

3p − 12 =

Answers

Answer:

is 3

Step-by-step explanation:

(example every time they give n=6 or q=10... you always have to multiply)

if p=5

3 x 5 - 12 = 3

and here how you solve

(3)(5)−12

=15−12

Find the measure of this angle.
Need help please and to show the work

Answers

Answer:

measure of angle MFZ: 19

Step-by-step explanation:

lets solve the equation x+9=2x-1

add 1 to 9

x+10=2x

subtract x from 2x

10=x

let us plug in 10 in for x+9

(10)+9

I hope this helped you :)

Judith has a 30-yard by 1-yard roll of fabric. she needs to use 1.5 square yards to create one costume. how many costumes can she make?

Answers

Answer: 20 costumes. 30 divided by 1.5.

Step-by-step explanation:

I NEED HELP ASAP NO ONE EVER HELPSS ME!!! Which transformation would take Figure A to Figure B?

Answers

Answer:

choice 1) a reflection over then line y = -x

Step-by-step explanation:

Answer:

Step-by-step explanation:

just hold your paper and turn it and it will line up

Write 2.063 in word form

Answers

Answer:

Step-by-step explanation:

When you say "and" its representing a decimal it also ends in the thousandTHS

Answer:

two and sixty three thoundths

Step-by-step explanation:

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:

16 bits for part c. sorry I don't know part D or E.

Step-by-step explanation:

Answer:2.56x 10^11

Step-by-step explanation:

Helppppppppppp
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Answers

Answer:

15=3x5

Step-by-step explanation:

5+5+5=15

Answer:

15 = 3 x 5

Step-by-step explanation:

hope this helps!

3x - 2y = 7.
Y = 3x / 2 - ?/?

Answers

Your dad and your mum that is the answer

Identify as many solutions to the equation below as you can.
x + y = 12
(ex. 1 + 11 = 12, so (1, 11) is a solution)

Answers

Answer:

2+10=12

3+9=12

4+8=12

5+7=12

6+6=12

Step-by-step explanation:

so basically what u wanna do is just add 2 numbers that add up to give 12

This figure consists of a rectangle and a quarter circle.(GIVING BRAINLIEST!)

What is the perimeter of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.

(Brainliest if you answer)

Answers

Answer:

around 66.56? i might have missed a side.

Step-by-step explanation:

12.56+10+10+17+8+9

Find the area of the following circle. 6 cm

Answers

it has to be 113.1.

shirt = $14.99

pants = $27.00

sweater = $36.99

About how much $ in all?

Answers

Answer: $78.98, about $79

Step-by-step explanation:

14.99+27+26.99=78.98

Answer:

$78.98

Step-by-step explanation:

just add them all.....

What is the longest side of the triangle with vertices of (1,4), (3,4), and (3,6)?

Answers

Answer the answer to your question is :
(2,5)

Dilate Point B by a scale factor of 3:

(12,12)
(12,0)
(0,12)
(4,3)

Answers

imma have to say (4,3) sorry if i’m wrong

We can write the coordinates of the vertices of the triangle after dilation by a scale factor as -

C'(9, 6)

B'(0, 12)

A'(12, 12)

What is dilation?

Dilation is the enlargement or shrinking of the coordinates.

Given is a triangle as shown in the image.

The coordinates of the vertices of the triangle are -

C(3, 2)

B(0, 4)

A(4, 4)

For the dilation by a scale factor of {K} = 3, we can write -

C'(3 x 3, 2 x 3) = C'(9, 6)

B'(0 x 3, 4 x 3) = B'(0, 12)

A'(4 x 3, 4 x 3) = A'(12, 12)

Therefore, we can write the coordinates of the vertices of the triangle after dilation by a scale factor as -

C'(9, 6)

B'(0, 12)

A'(12, 12)

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Solve for the angles in the triangle below.
A
70
B.
C
Blank #1 - what is angle y (where B is)?
Blank #2 - what is angle x (where C is)?

Answers

Answer:

y=70°(base angle of isosceles triangle)

in triangle ABC

70°+x°+y°=180°{sum of interior angle triangle}

70+x+70=180

x=180-140=40°

Step-by-step explanation:

x=40

y=70

What are two equivalent fractions for 4/12??

Answers

1/3, 8/24

u can just multiply/divide the numerator and the denominators by the same number (if its divisible without making a complex fraction.)

Answer:

Step-by-step explanation:

Please helppp me outtttt

Answers

Answer:

i believe the answer to your question is aas

Answer:

AAS

Step-by-step explanation:

i dont know (i asked my brother)

What does 2/3 + 1/3 + 5/3 equal?

Answers

The correct answer is 8/3

I'm too lazy to do this, so like- anyone wanna do it for me? lol

Answers

Tbh I’m too lazy as well s try lol

Answer:

Step-by-step explanation:

its a big fat a

Maryanne is making roast chicken for dinner. It takes 2 1/2 hours to cook. She plans to eat dinner at 6:00pm. At what time should she put the chicken in the oven?

Answers

Answer:

3:30

Step-by-step explanation:

Solve this quadratic equation using the quadratic formula.
(3- y)(y + 4) =3y -5

Answers

Answer:

y=-(2±√21)

Step-by-step explanation:

Answer:

y=-6.5

Step-by-step explanation:

if g(x)=3x^2+2x-1, find g(0)

Answers

-1. Plug in 0 for x so it’s g(0) =3(0)^2 +2(0) -1. It should be right.

3x - 4 1/2 = -19 1/2

Answers

3x- 9/2= -39/2
3x= -39/2 + 9/2
3x= -30/2
3x= -15
x= -15/3
x=-5

-5, you can remove 1/2 from both sides, then add 4 to both sides, you’ll have 3x=-15

Write the equation of the line in slope intercept form that has slope -2 and passes through point (20, -42). *

Answers

y=-2x-2

y+42 = -2 (x-20)
y+42 = -2x + 40
y+42-42 = -2x +40 -42
y = -2x -2

2. C(-6, 1), D(2, 1)
what is the slope

Answers

Answer:

Step-by-step explanation:

(1-1) / (-6-2) = 0 / -8 = 0

what is 85% of 250$
Step by step plsss

Answers

Answer:

213

Step-by-step explanation:

Answer:

212.5

Step-by-step explanation:

250*.85 = 212.5

please help!! ______

Answers

Answer:

A) AA similarity

Step-by-step explanation:

AA stands for "angle, angle" and means that the triangles have two of their angles equal.

SAS stands for "side, angle, side" and means that we have two triangles where the ratio between two sides is the same as the ratio between another two sides and we we also know the included angles are equal.

SSS stands for "side, side, side" and means that we have two triangles with all three pairs of corresponding sides in the same ratio.

Here we can easily see that two angles are equal

∠CYK and ∠KZP∠CKY and ∠PKZ (they're cross angles)

Therefore it's AA similarity

One third + one fourth

Answers

Answer:

1/3 + 1/4 equals 7/12

if you click the image it will show you how to get the answer.

Can somebody help me please

Answers

the correct answer is 67 to the third power

The correct answer is 67 to the three one hopes this help

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