Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)

Answers

Answer 1

Answer:

Perpendicular slope = – 1/m = -1/3 = -1/3

Step-by-step explanation:

Given the points

(-1,2)(-2,-1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]

[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]

[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]

[tex]m=3[/tex]

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Thus, the slope of any line perpendicular to GH = -1/3


Related Questions

Which expression is equivalent to 5(2y + 8) − 4y ?



A. 6y + 40


B. 6y + 8


C. 14y + 40


D. 14y + 8

CMON PLEASE ITS TIMED.

Answers

Answer:

I also think its A.

Step-by-step explanation:

10y + 40- 4y

(10y-4y)+40

6y+40

A small garden has an area of 25 square yards. How long is each side of the garden? *

Answers

Answer:

5

Step-by-step explanation:

Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?

Answers

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with

[tex]-\dfrac{a_2}{a_1}[/tex]

which will make coefficient of x in first equation as

[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?

A$588

B$480

C$546

D$1008

Answers

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139

Answers

The answer is 503.39

Hope this helps

This question is designed to be answered without a calculator.

Use this graph of function f.



For how many values of x is f not differentiable over the interval (–4, 4)?

Answers

Answer:

4

Step-by-step explanation:

In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.

Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

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Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i​

Answers

Answer:this did not work for me

Step-by-step explanation:

2= f/8 f= solve the equation

Answers

2= f/8
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f

Solve the distance, rate, time problem using a system of two linear equations in two variables.

A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.

Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.

Answers

Answer:

960 would be correct becasue it says it in the problem.

What is -3(2a + 5b - 4y - 2)?

Answers

Answer: -6a-15b+12y+6

Step-by-step explanation:

What is 2 and 1/4 divided by 3/4?

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 1/4 divided by 3/4 =

9/4 * 4/3 =

36/12 =

3

please help me out here I need it

Answers

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

Rank the following tools for measuring length from those that give the least precise results to the most precise results.

Highway mile marker

A yardstick

A length of a person's foot

A five - foot long branch from a tree​

Answers

Answer:

option 3,4,2,1

Step-by-step explanation:


Highway mile marker

A five - foot long branch from a tree

A length of a person's foot

A yardstick

Rewrite 14 1/3 as an improper fraction

Answers

Answer:

Step-by-step explanation:

((14×3) + 1 )/3 = (43/3)

14 1/3 can be expressed as 43/3, which is an improper fraction.

To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.

First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.

14 × 3 = 42

Next, we add the numerator (1) to the result we obtained above.

42 + 1 = 43

Therefore, the improper fraction equivalent to 14 1/3 is 43/3.

In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.

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Use the figure and follow the directions below.

Answers

f is the vertex of 1

LOOK A PICTURE HURRY PLS LIKE RIGHT NOW

Answers

Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago

Step-by-step explanation:

3/8 divided by 4????

Answers

Answer:

um Yess?

Step-by-step explanation:

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A virus takes 13 days to double its original population (A=2A_0). How long will it take to triple its population? Round to the nearest tenth.

Answers

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

What is the formula of exponential growth?

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

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Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainlyest⚠️

Answers

Answer:

They are parallel, they will never intersect.

Step-by-step explanation:

Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.

x/2 + 6

This is the simplest form because you can’t combine x with 6.

Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?

Answers

10,091 because it's a 10 season football season and he spends 9 dollars every game

Step-by-step explanation:

ez

The opportunity cost of playing football for Graham is $1,190.

What is the Opportunity cost?

The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.

Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.

Therefore, the opportunity cost of playing football for Graham is,

Opportunity cost

= Amount that Graham would have made in a part-time job +  Total cost of playing football season

= $1,100 + (Number of games × Amount spend in a single game)

= $1,100 + (10×$9)

= $1,100 + $90

= $1,190

Hence, the opportunity cost of playing football for Graham is $1,190.

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Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).

Answers

Your answer is 22

Hope this helps!

“How mathematics is involved in Merchandising?”

Answers

Answer:

You have to have the number of items you paid for and know what numbers you're calculated at checkout.

Which linear function has the same y-intercept as the one that is represented by the graph?
Oy=2x-4
Oy=2x-3.
Oy=2x+3
Oy=2x+4

Answers

Answer:

Oy=2x+3

Step-by-step explanation:

The function that has the {y} - intercept as that of the function graphed is y = 2x + 3

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the linear function that has the same y-intercept as the one that is represented by the graph.

The function graphed has the {y} - intercept of 3.

For the functions given -

Functions              {y} - intercept

y=2x-4                        -4

y=2x-3.                       -3

y=2x+3                        3

y=2x+4                        4

So, the function that has the {y} - intercept of 3 is y = 2x + 3.

Therefore, the function that has the {y} - intercept as that of the function graphed is y = 2x + 3.

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Jim has 3 pairs of pants
and 2 shirts. How many
different ways can he
dress?

Answers

Answer:

2 to 5 different ways

Step-by-step explanation:

Answer:

12 different ways he can dress

Step-by-step explanation:

Let The Pant be A and Shirt be B

So, we have 3 pair of pants i.e., 6 Pants

Here, We assumed that the pant be A then 6 pants be

A₁ A₂ A₃ A₄ A₅ A₆

Now, For Shirts

We have 2 Shirts

But we assumed that the Shirt be B then 2 Shirts be

B₁ B₂

Then, We will make pair of A and B

A₁ = B₁

A₂ = B₁

A₃ = B₁

A₄ = B₁

A₅ = B₁

A₆ = B₁

A₁ = B₂

A₂ = B₂

A₃ = B₂

A₄ = B₂

A₅ = B₂

A₆ = B₂

Thus, 12 different ways he can dress

-TheUnknownScientist

CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??

Answers

Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

Find the distance between a and b

Answers

Answer:I believe it is 2.4

Step-by-step explanation:

What linear function models the table of values?

Answers

i think it’s c im not sure :/

I can write linear equations

1. Through: (-1,3), Slope=2

2.Through: (3,3), slope= -2

Answers

1. Y=2x+5

2. Y= -2x-3

The class can contain at most 28 students.

Answers

Answer:

s < 28

Step-by-step explanation:

the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class

Answers

Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

Answer:

25

Step-by-step explanation:

3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)

15+10=25 total boys and girls

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