How do you find the slope of a perpendicular line with an equation and point?

Answers

Answer 1

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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Answer 2

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx


Related Questions

1/2 4² - 6

find the value

Answers

Answer:

2

Step-by-step explanation:

(1/2) 4^2-6

(1/2) 16-6

8-6

=2

please help(if you could tell me why,that would be awesome)​

Answers

heyy I belive it’s fundamental but I’m not sure so hehe

PLS HELP ME ASAP ILL GIVER BRAINliest

Answers

Answer:

Step-by-step explanation:

the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________

Answers

Answer:

roots:  2 ± (1/2)√42

                                                                  -8

axis of symmetry:  x = -b/(2a)  is  x = ---------------- = 2

                                                                 2(-2)

vertex:  (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)

Step-by-step explanation:

First, let's determine the roots of this quadratic, using the quadratic formula.  Here the coefficients are -2, 8, 13.

Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168.  Because the discriminant is positive, we know that there are two different real roots.

They are:

        -8 ± √168                       -8 ± 2√42

x = ---------------------  or  x =  ---------------------  =  2 ± (1/2)√42

               -4                                     -4

PLEASE HELP ILL GIVE BRAINLIEST
SHOW WORK

Answers

Answer:

choice 1) $21.90

Step-by-step explanation:

30% of $72.99 = 0.3(72.99) = $21.90

Answer:

21.90

Step-by-step explanation:

Solve it please 25 Points!

Answers

We can’t see the problems can you give us a link
We cant see problems

There are 100 centimeters (cm) in every meter (m).

Complete each of the tables and find the constant of proportionality.

Answers

Answer:

sorry

where is the table

Step-by-step explanation:

plz send detailed question

The constant of proportionality of 100 cm in 1 meter is 0.01

How to determine the constant of proportionality?

The statement is given as:

100 cm in 1 meter

Rewrite as:

x cm in y m

Express as ratio

100 : 1 = x : y

Express as fraction

100/1 = x/y

Divide

100 = x/y

Make y the subject

y = x/100

Divide

y = 0.01x

A direct proportion is represented as y = kx

Where k represents the constant of proportionality.

So, we have:

k = 0.01

Hence, the constant of proportionality is 0.01

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I need help with this

Answers

what do you need help with?

i would be happy to help you.

2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.

What can be said about the data for the snowfall in each resort? Check all that apply.

Answers

Answer:

2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.

Step-by-step explanation:

Answer:

ab 50 and ab 75

Step-by-step explanation:

The ratio table shows the costs for different amounts of bird seed. Find the unit rate in dollars per pound. The unit rate is $ per pound​

Answers

Answer: The rate is $1.25 per pound.

Step-by-step explanation:

Sam's two new aquariums each hold exactly 200 gallons of water.One aquarium will hold small fish and the other will hold large fish. Now he needs new fish for his aquarium.He will buy 5 small fish for every 10 gallons of water in the aquarium.He will buy 8 large fish for every 40 gallons of water in the aquarium.What is the total number of fish Sam will have? What will be the ratio of Sam's small fish to large fish? Could the ration be 25 small fish for every 10 big fish?

Answers

Answer:

100 small fish will be in 200 gallons of water. 40 large fish will be in 200 gallons of water.

Step-by-step explanation:

200/10=20

20*5=100 small fish

200/40=5

5*8=40 large fish

100+40=140 total fish

small fish/large fish=100/40=10/4=5/2 is the ratio

In a school election, 100 students submit ed a ballot voting for either Patrick or Britney. After counting all the votes, Britney received 56 more votes than Patrick. How many students voted for Patrick?

Answers

Answer:

22 students

Step-by-step explanation:

Create a system of equations where p is the number of students that voted for Patrick, and b is the number that voted for Britney

p + b = 100

b = p + 56

Solve by substitution by plugging in p + 56 as b in the first equation

p + b = 100

p + p + 56 = 100

Solve for p:

2p + 56 = 100

2p = 44

p = 22

So, 22 students voted for Patrick

Patrick sold 22 ballots.

22+56=78

22+78=100

If using the method of completing the square to solve the quadratic
equation x2 + 20x – 6 = 0, which number would have to be
added to "complete the square"?

Answers

Answer:

100

Step-by-step explanation:

20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side

The number required to add to the equation x² + 20x - 6 is 106

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A =  x² + 20x - 6 = 0

Now , to make the equation as a perfect square,

The number to be added to the equation is 106

Adding 106 to the equation , we get

A =  x² + 20x - 6 + 106

On simplifying the equation , we get

A =  x² + 20x +100

Now , the equation can be factorized as

A = ( x + 10 )²

A = 0

( x + 10 )² = 0

x = -10

Hence , The number required to add to the equation x² + 20x - 6 is 106 to make it a perfect square

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The approximate areas of South Carolina and Perto Rico are listed below: South Carolina: 8.29 * 10 ^ 4 kilometers Puerto Rico: 5.33 * 10 ^ 3 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation.​

Answers

Answer:

h if Shamus for steak FFS ah MI dj

Step-by-step explanation:

bight you gddjf SD NJ Gzgz SC jdd

Answer: 1.567x10^5

Step-by-step explanation: 2.2x10^5-5.33x10^3

220,000-5,330

214,670

2.1467x10^5

The price of a shirt is $42. The sales tax is 6.5%. What is the final cost for the shirt?


$2.73

$44.16

$44.73

$2.16

Answers

A: 44.73 EX: since 6.5% of 42 = 2.73 you add the 2 together to get 44.73.

daniel uses a 20.00 bill to purchase an item that costs d dollars. Write an equation to represent the amount of chnage c that he should receive? Also, what is the solution?

Answers

Equation:

c = 20.00 - d

Solution:

c = 20.00 - 8.49

c = 11.51

Select ALL TRUE statements about Quadratic Functions:

A. They are 2nd degree functions.

B. They have "V" shaped graphs.

C. Vertex form is used for graphing.

D. From a table, has a constant second difference.

Answers

Answer:

D AND C ARE THE CORRECT ANSWERS

Step-by-step explanation:

NP have a good day brainlest? and heart

Answer:

A and C

Step-by-step explanation:

I need help with these question! Please do step by step-

Answers

Answer:

There are 47 Borogroves and 35 Mome raths

Step-by-step explanation:

Here, given the number of legs, we want to find the number of each type of animals

Let the number of borogoves be b and the number of mome raths be m

From the question, there are 82 creatures;

Thus;

m + b = 82 ••••••••(i)

the total number of legs by b borogroves will be b * 2 = 2b

the total number of legs by m mome raths will be m * 4 = 4m

the sum of all legs is 234

2b + 4m = 234 •••••••••(ii)

From equation 1, m = 82-b

Substitute this into equation ii

2b + 4(82-b) = 234

2b + 328 - 4b = 234

4b-2b = 328-234

2b = 94

b = 94/2

b = 47

Recall;

m + b = 82

m + 47 = 82

m = 82-47

m = 35


Find the area and circumference of the circle. Use 3.14 for A.
4.5 in.
Area______
Circumference____

Answers

Answer:

A = 63.59

C = 28.26

Step-by-step explanation:

r = 4.5

Area of a circle:

A = πr²

A = 3.14(4.5²)

A = 3.14(20.25)

A = 63.59

Circumference:

C = 2πr

C = 2(3.14)(4.5)

C = 28.26

Solve for the value of t.
HELP!!

Answers

Answer:

28

Step-by-step explanation:

2x28 = 56 -7 = 49

my answer has to be 20 characters long so don't mind the sentence with words

Answer:

t= 27

Step-by-step explanation:

2t-7=49

   +7+7

2t=56

t=27

As part of a class project, Sarah and Geoffrey conducted a survey asking their peers whether they planned on taking a music class the next year.
of the 90 students they surveyed, 43 responded favorably. Sarah and Geoffrey calculated the margin of error for different confidence intervals.
Their work is shown.
Sarah
Geoffrey
95% confidence:
90% confidence
0.48(1 - 0.48
ME = 1.96 V
90
(8) 1 - 3
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
O A Geoffrey incorrectly found the margin of error because he used the wrong critical value.
OB. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
OC. Sarah incorrectly found the margin of error because she used the wrong sample proportion.
OD. Sarah incorrectly found the margin of error because she used the wrong critical value.

Answers

Answer:

Geoffrey incorrectly found the margin of error because he used the wrong sample size.

Please give me brainliest, I really need it.

The equation of the line shown in the graph is y = ?.

Answers

Y=1/4x+0
You don’t need the 0 just
Y=1/4

What is 0.44% of 625?

Answers

Answer:

2.75 i believe

Answer:

2.75

Step-by-step explanation:

[tex]625*\frac{0.44}{100} =2.75[/tex]

I have to find the missing angles​

Answers

Answer:

Angle 3 = 115°

Angle 4 = 22°

Angle 5 = 43°

Angle 6 = 115°

Step-by-step explanation:

These two triangles are congruent by SSS. It is given that two sides are congruent already, and by the reflexive property, they share a side and therefore have a third congruent side.

By CPCTC, all of their angles and sides are also congruent. And by the triangles angle sum theorem, side 3 and 6 must equal 115°

~~~

Have a nice day. Feel Free to ask questions. Spread the love.

Step-by-step explanation:

4 = 22⁰

5 = 43⁰

3 and 6 are same

kite total angles = 360⁰

so, to find 3 and 6, we need to subtract all angles we have and devide it with 2 because we need to find 2 angles...

360-22-22-43-43= 230

3 and 6 = 230 ÷ 2

= 115⁰

Ayuden porfa . Determine 4 ala potencia x + 4 la potencia -x si se sabe que 2 ala potencia x + 2 ala pontecia -x es igual a 3

Answers

Answer:

4ˣ + 4⁻ˣ es igual a 7

Step-by-step explanation:

4ˣ + 4⁻ˣ

Dónde;

2ˣ + 2⁻ˣ = 3

Nosotras tenemos

[tex]2^x + \dfrac{1}{2^x} = 3[/tex]

[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]

[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]

Deje que 'a' represente 2ˣ, tenemos;

a² - 3·a + 1 = 0

a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2

∴ a = 2ˣ = (3 ± √5)/2

((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1

x = ln(3 ± √5)/2/(ln(2))

4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7

∴ 4ˣ + 4⁻ˣ = 7.

When converting a linear equation into Slope Intercept form, what is our main goal? Vour answer ​

Answers

Answer:

You have to make sure the y= is always on the left side and so it looks like ,y=mx+b. m=slope, x=independent variable and b = y intercept.

Step-by-step explanation:

Hope it helps :)

I need help on 19 and 20. Please help me. Please don’t put a link. Please help me.

Answers

Answer:

19:

4  <   third side    <   14  

20:

3  <   third side    <   13  

Step-by-step explanation:

hint: go to http://www.17 28.org/trianinq.htm

(fix the space between 17 and 28)

you're welcome xx

What is the equation of the line shown in the graph?

Answers

Answer:

-1/5

Step-by-step explanation:

I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.

Your answer would be: y = -1/5x + 3   [if your question is asking for the slope intercept form]

OR

Your answer would be: -1/5   [if your question is asking for just the slope]

1 ≥ x - 9
Find out what x means.

Answers

So first +9 to both sides to isolate the variable. Then you’ll be left with 10 is greater than or equal to x. So if you switch the terms around it’ll be x is less than or equal to 10. Values that are less than or equal to 10 are like 10,9,8,7,etc.

If m 4 = 44, the m 8=

Answers

Answer:

I think it's 88.

Step-by-step explanation:

4 x 11 = 44

8 × 11 = 88

Hope that helped :)

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