Find the slope of the given line, if it is defined.
The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
B. The slope is undefined.

Answers

Answer 1

Answer:  A. The slope is [tex]-\dfrac{4}{3}[/tex].

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

[tex]\text{Slope}=\dfrac{d-b}{c-a}[/tex]

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

[tex]\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}[/tex]

Hence, the slope is [tex]-\dfrac{4}{3}[/tex].


Related Questions

Tina multiplies 46 times 23 2/3. what is the product of this problem.

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LSÑZOZOOSLSLSLSLLSLSLDLDLLD

Figure A is a scale image of Figure B. Figure B Figure A What is the value of x?​

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Answer:

5.4

Step-by-step explanation:

Calculate value of x using similarity ratio

7.2/x = 4/3 cross multiply expressions

21.6 = 4x divide both sides by 4

5.4 = x

Answer:

5.4

Step-by-step explanation:

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R = S*2-9 and if stacy got a 52 randall got a 95

Two families went to Rollercoaster World.
The Brown family paid $170 for 3 children and 2 adults.
The Peckham family paid $360 for 4 children and 6 adults.

If \displaystyle xx is the price of a child ticket in dollars and \displaystyle yy is the price of an adult ticket in dollars, write a system of equations that models this situation and then solve it to find out how much each type of ticket costs.

Answers

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{150}{5}\\x=30[/tex]

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{80}{2}\\y=40[/tex]

Hence,

Children ticket cost $30 and adult ticket costs $40.

the length of a rectangle is 7m more than its width.If the width is 3m,determine the perimeter and the area​

Answers

Answer:

Step-by-step explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

an architect creates a scale model of a building with a scale of 3 inches = 11 feet. if the actual width of the building is 121 feet, what is the width of the scale model

Answers

Answer:

the awnser is 3 because 3 * 11 = 33 then 121 divided by 33 = 3

Step-by-step explanation:

You have found a house that you would like to purchase. The amount of the home is $525,000. You would like to finance the home through your local credit union but they require a 8% down payment. Determine the amount needed for the down payment so that the bank will finance the home purchase. a. $525,000 c. $42,000 b. $420,000 d. $4,200

Answers

Answer:

The Answer Is C

Write a proportion for this situation, and then solve.
Last week, Frankie ate 50 hot dogs in 12 minutes! At this rate, how many hot dogs could Frankie eat
in an hour?
Please anser

Answers

he could eat 250 hotdogs in an hour

50÷12=4.166

4.166×60=250

Answer 250

the coordinate below shows a triangular region at sea between three islands. each unit on the coordinate plane represents 10 miles. what are the area and perimeter of the triangular region? choose all that are correct​

Answers

Answer:

I think A, B, E, F I’m not sure

Step-by-step explanation:

Answer:

A B E F

Step-by-step explanation:

Louis has $11. What are two different combinations of a sandwich and a drink that he can buy and still have enough money left to get into the rink? Explain how you found your answer.

Answers

Answer:

Tuna and Small

Step-by-step explanation:

$3.95 + $1.29 = $5.24 - $11 = $5.76

Louis would have $0.76 after he bought everything

Hope this helps please give brainliest!!

Solve for x: 3500=700*2^8x Check all that apply.

Answers

3500=700 \times 2 ^ { 8x }

\frac{3500}{700}=2^{8x}

5=2^{8x}

2^{8x}=5

\log(2^{8x})=\log(5)

8x\log(2)=\log(5)

8x=\frac{\log(5)}{\log(2)}

8x=\log_{2}\left(5\right)

x=\frac{\log_{2}\left(5\right)}{8}

[tex]\text{The \textbf{value} of x is\ } \dfrac{\log(5)}{8\og(2)} \ \text{and} \dfrac{\ln(5)}{8\ln(2)} \text{\ for the \textbf{equation},}\ 3500=700\times 2^{8x}.[/tex]

So, option c) and d) are correct.

Logs with base a, they are called Common Logs and Logs with base e are called Natural Logs.

[tex]\text {Thus,x=\dfrac{\log(5)}{8\log(2)} and}[/tex]

Given equation:

[tex]3500=700\times 2^{8x}\\[/tex]

In order to solve it for x first take logarithm both sides of the equation as follows:

We can take log natural as well as common log

1. taking common log:

[tex]log(3500)=log(700\times 2^{8x})\\log(3500)=log(700)+log( 2^{8x})\\log(3500)-log(700)=8x\ log( 2)\\\\log\dfrac{3500}{700}=8x\ log( 2)\\\\log5=8x\ log2[/tex]

Evaluating x as follows:

[tex]x=\dfrac{\log(5)}{8\log(2)}[/tex]

2. Similarly on taking natural log:

[tex]x=\dfrac{\ln(5)}{8\ln(2)}[/tex]

[tex]\text{Thus, the \textbf{value} of x is\ } \dfrac{\log(5)}{8\og(2)} \ \text{and} \dfrac{\ln(5)}{8\ln(2)}[/tex][tex]\text {Thus,x=\dfrac{\log(5)}{8\log(2)} and}[/tex]

So, option c) and d) are correct.

Learn more about logarithms, here:

https://brainly.com/question/29775602

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How many solutions does 2x-4=4-2x have?

Answers

Answer:

8/4 or 2

Step-by-step explanation:

2 solutions

The equation 2x - 4 = 4 - 2x has a single solution, x = 2.

The equation 2x - 4 = 4 - 2x can be simplified and analyzed to determine the number of solutions.

First, let's simplify the equation by combining like terms:

4x - 4 = 4

Next, we can add 4 to both sides of the equation to isolate the variable:

4x - 4 + 4 = 4 + 4

This simplifies to:

4x = 8

Now, we divide both sides of the equation by 4 to solve for x:

(4x) / 4 = 8 / 4

This yields:

x = 2

Therefore, the equation 2x - 4 = 4 - 2x has a single solution, x = 2.

This means that when we substitute x = 2 into the original equation, both sides will be equal. Thus, the equation has a unique solution, indicating that the two sides of the equation represent the same line or point of intersection.

In summary, the equation has one solution, which is x = 2.

To learn more about the linear equation;

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Four gallons of gasoline cost $16.80. What is the price per gallon?

Answers

Answer:

$4.20 / gallon of gas (divide 16.80 by four gallons)

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Someone please help me with this ASAP

Answers

Answer:

lol no thanks for the points

Step-by-step explanation:

dwadawdwadawdssadws

Which below is an expression 2+2=4 2+3=5 2x+5 2x=4 PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!

Answers

2x=4

it is the expression here.

Someone help me with this

Answers

Answer:

-2

Step-by-step explanation:

-10 + 3 = -7

I think the answer is -2

What is the value?
And please hurry! :)

Answers

Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

b^2-16a+5

49-8+5

41+5

46

64% of x is 140 please help me right away and solve me x!

Answers

Answer:

218.75

Step-by-step explanation:

218.75

140/x=64/100

Answer: 218.75

Explanation:

64/100*x is equal to 64x/100 = 140

14000 divided by 64

x = 218.75

Simplify the expression (6²)⁴

Answers

Answer:

1,679,616

Step-by-step explanation:

(6^2)^4

36^4

1,679,616

i need help on question 4 A. Can someone please show working out too so I can understand it, thank you!

Answers

Answer:

[tex]Q=(9,11)[/tex]

Step-by-step explanation:

Solving (4a)

[tex]P (x_1,y_1) = (1,1)[/tex]

[tex]M (x,y) = (5,6)[/tex]

Required

Determine [tex]Q(x_2,y_2)[/tex]

To do this, we make use of the mid-point formula:

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Substitute values for x, y, x1 and y1

[tex](5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * (5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2}) * 2[/tex]

[tex](10,12) = (1+x_2,1+y_2)[/tex]

By comparison:

[tex]10 = 1 + x_2[/tex]

[tex]x_2 = 10 - 1[/tex]

[tex]x_2 = 9[/tex]

[tex]12 = 1 + y_2[/tex]

[tex]y_2 = 12 - 1[/tex]

[tex]y_2 = 11[/tex]

Hence, the coordinates of Q is (9,11)

What is the value of X?

Answers

Answer:

A,

x = 81

Step-by-step explanation:

Which of the sets of ordered pairs represents a
function? **easy** BRAINLIEST
A= {(2,-2). (5, -5), (-2, 2), (-5, 5)}
B = {(4, 2), (4, -2). (9, 3), (9, -3)}

O Only A
O Only B
O Both A and B
O Neither A nor B​

Answers

A function means that “for only x, there is one and only one y”. If you look at these sets, you can see that the statement is true for A, but not for B. In B, you can see that an x-value of 4 has two y-values (2 and -2) and a value of 9 also has two y-values. Therefore, only A is a function.
A is a set with ordered pairs. This is because for a function to work there can not be a multiple of an input number. So only A would work since there is no input number that is repeated. Hope this helps and if you could please consider marking me the brainliest, thank you!

I need help please answer this question

Answers

I did it my best knowledge

1.6x+5+1.6x= 3.2+5= 3.2/5=(0.64)<<<Answer

4 of 8
?
Find the LCM of 9 and 3

Answers

Answer:

the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9

Step-by-step explanation:

hope this helpes you out

100 POINTSS!!! Can someone help me real quick? Only answer if you’re confident that it’s right please :)

Answers

Answer:

I think its uh

Step-by-step explanation:

the first= it is. f= 3x+3/x^2

the second= it is. f= x-3/x^2

sorry if this is wrong btw, i tried my best U-U

Answer:

they're not inverses.

Step-by-step explanation:

the inverse of f(x)= 3/x +3 would be f(x) 3 / x-3

for the second equation the inverse of that one would be h(x) = -3/ x-1

i hope this helps.

Find the area of the shape below.
10 cm
27 cm
9 cm
24 cm

Answers

Answer:

657m²

Step-by-step explanation:

use the provided formular and substitute the values

Answer:

split the shape in 2

14 x 11 = 154

20 - 11 = 9

9 x 9 = 81

then add 154 + 81 which is 235

so area is 235 according to me..

PLSASE HELP ME SOLVE ITS MULTIPLE CHOICE

Answers

Answer:

c i believe:)

Step-by-step explanation:

hope this helps:) brainliest please!

need help asap please!!

Answers

Answer:

[tex]v=46\\[/tex]

Step-by-step explanation:

Simply:

[tex]-v=-46[/tex]

Can you guys please help me with this question

Answers

Answer:

9 , 10

Step-by-step explanation:

n ≥ 9.

Here the value of n will be 9 and more than 9

Which of the following are expressions? Check all that apply.



Group of answer choices

3 + x

twelve is three more than nine

the difference of x and 8

2y

Answers

Answer:

3 + x

the difference of x and 8

Step-by-step explanation:

u need a number, a varible(letter), and a [+, -, /, x(*)]

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