The line L1 is defined Ax + By = 3. The line L2 is defined by the equation Ax + By = 2. The line
L3 is defined by Bx − Ay = 1. Determine whether L1, L2 and L3 are parallel or perpendicular to each other.

Answers

Answer 1

Step-by-step explanation:

Line 1: Ax+By=3

By=-Ax+3

-> slope is -A/B

Line 2: Ax+By=2

By=-Ax+2

-> slope is -A/B

Line 3: Bx-Ay=1

Ay=Bx-1

-> slope is B/A

So lines 1,2 are parallel, and lines 1,3 and 2,3 are perpendicular


Related Questions

estimate 635/39 by first rounding each number so that each only has one 1 non-zero digit

Answers

635/39 = 600/40 = 15

If A= (-4 -1 -9) (-9 6 9) (-1 -1 3) and B= (-10 -7 -5) (9 -7 -1) (9 -4 2), find 6A - 8B

Answers

The answer is c because (6*-4)-(8*-10)=-104 And that is only on c

The supply and demand curves for a market are graft below with price in dollars and quantity in thousands. Which of the following would result from an increase in the supply curve? a. a market equilibrium price greater than $30 b. A market equilibrium price less than $30 c. A market equilibrium quantity less than $30 d. A market equilibrium quantity greater than $30

Answers

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

What are the coordinates of the image of vertex D after
a reflection across the x axis?

Answers

Answer:

6. Which displays the properties of the selected object?

a) Timeline

b) Property Inspector Box

c) Tools Panel

d) Stage

7. What is the extension of the Animate CC file ?

a) .mp3

b) .fls

c) .xls

d) .fla

8. This is a list of clear instructions for solving a problem.

a) Algorithm

b) Abstraction

c) Decomposition

d) Analysis

9. This is a diagrammatic representation of steps to solve a problem.

a) Looping

b) Flowlines

c) Flowchart

d) Algorithm

10. The ____ tool is used to draw star shapes.

a) Rectangle

b) Oval

c) Square

d) Polygon

Which function is graphed below?

Answers

Answer:

C. f(x)=sin(x)

Step-by-step explanation:

Graphed each equation on desmos to see which one matched your image.

Good luck with your work, edge is the worst xD

2. Which of the following expressions is equal to (2g)^3

Answers

Answer:

8g³

Step-by-step explanation:

(2g)³ = 2³·g³

1+17+29+14+33 how to calculate quickly

Answers

Step-by-step explanation:

take all numbers, and add all of the numbers under 25 first, then add the ones over 25, then add the sum of both:

1

17

14

= 32

29

33

= 62

32 + 62 = 94

An isosceles triangle has an angle that measures 54°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

54 degrees
54 degrees
72 degrees

or

54 degrees
63 degrees
63 degrees

an isosceles triangle has 2 equal angles, and the angles of a triangle always add up to 180 degrees

Graph the parabola.
y=3x²-4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.

Answers

Answer:

Vertex: (0, -4)

Graph: I can't share a link so you can go to desmos and paste your equation

Step-by-step explanation:

the vertex is where the axis of symmetry meets with the parabola.

The axis of symmetry is (-b)/(2a) which equals 0 because there is no linear x value

therefore,

y=3(0)^2-4

=-4

so the vertex is (0, -4)

to find the other points, list two x values larger than 0 and substitute into the equation to find y

list two x values smaller than 0 and substitute to find the points on the left of the vertex.

what is the answer. help

Answers

Answer: 230

Step-by-step explanation:

Answer:

230.582

Step-by-step explanation:

math, sorry if its wrong im not good with math

Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer

690.28


650.83


500.83


791.28

Answers

Answer:

C) 500.83

Step-by-step explanation:

Surface area for a cylinder formula:

SA = 2πrh + 2πr²

Given:

d = 11

r = d/2 = 11/2 = 5.5

h = 9

Work:

SA = 2πrh + 2πr²

SA = 2(3.14)(5.5)(9) + 2(3.14)(5.5)²

SA = 310.86 + 2(3.14)(30.25)

SA = 310.86 + 189.97

SA = 500.83

The Gantry family has to pay the following bills for the month of June. Electricity $150, Gas $120, Groceries $530, Water $110, Phone and internet $70. What is the total amount the Gantry family needs to pay in bills for the month?

Answers

$980 explanation: 150+120= 270, 270+530=800, 800+110= 910, 910+70 = 980!

1)Find the quadratic equation
3(3x [tex] {}^{2} [/tex]+ 1)=12x​
2)Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex] ​

Answers

Step-by-step explanation:

"find" ?

the equations are already there.

do you mean solve in the sense of finding the zero points of the equations ?

if so,

the general solution of a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

3(3x² + 1) = 12x

9x² + 3 = 12 x

9x² - 12x + 3 = 0

a = 9

b = -12

c = 3

x = (12 ± sqrt(144 - 4×9×3))/18 = (12 ± sqrt(144-108))/18 =

= (12 ± sqrt(36))/18 = (12 ± 6)/18

x1 = (12 + 6) / 18 = 18/18 = 1

x2 = (12 - 6) / 18 = 6/18 = 1/3 = 0.3333333...

9y² - 12y - 14 = 0

same thing, we just use y instead of x.

a = 9

b = -12

c = -14

y = (12 ± sqrt(144 - 4×9×-14))/18 = (12 ± sqrt(144+504)/18 =

= (12 ± sqrt(648))/18 = (12 ± sqrt(324×2))/18 =

= (12 ± 18×sqrt(2))/18

y1 = (12 + 18×sqrt(2))/18 = 12/18 + sqrt(2) = 2/3 + sqrt(2) =

= 0.942809042...

y2 = (12 - 18×sqrt(2))/18 = 12/18 - sqrt(2) = 2/3 - sqrt(2) =

= -0.747546896...

HELP i don’t know what the slope is or how to do this!!!

Answers

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]

please like

Answer:

  undefined

Step-by-step explanation:

Slope is a measure of the vertical change relative to the horizontal change. On an x-y graph, it will be the difference in y-coordinates divided by the corresponding difference in x-coordinates. It is often referred to using the letter m.

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line between points (x1, y1) and (x2, y2)

It does not matter which points you call point 1 and point 2.

__

For the points given on the graph we can compute the slope to be ...

  m = (2 -(-3))/(-1 -(-1)) = 5/0

The zero in the denominator makes this value "undefined." So, we say the slope of any vertical line is "undefined."


Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples.
How many Golden Delicious apples did Mary buy?

Answers

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

[tex].75d+1.25g=21.00\\d+g=22[/tex]

I prefer to solve using substitution, but elimination can be used as well

[tex].75d+1.25g=21.00\\g=22-d[/tex]

We can now plug in this g value to the first equation

[tex].75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13[/tex]

This means mary bought 13 delicious apples. She bought 22 apples in total,  so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Let me know if you have any questions! Spread the love.

Ned paid a sale price of $44 for two concert
tickets. If he wants to make a 75% profit on the
tickets, how much will he need to raise the price
of the tickets by? What will be the new selling
price for the tickets?

Answers

Answer:

$33

Step-by-step explanation:

75% profit = 44 x 75% = $33
So, he will need to raise it by $33 to make a 75% profit
New price : #77

Check : If he sell it for $77, he makes a $33 profit, which is 75% of $44.

help please find the midpoint

Answers

The midpoint is

(-1/2,0)

225° transformarlos a radianes

Answers

Step-by-step explanation:

[tex]225 \times \frac{\pi}{180} = 3.927 \: radianes[/tex]

Can anyone help me find the missing coefficient?
2n + (7n + 8) = n + 8

Answers

Answer:

Step-by-step explanation:

2n + 7n + 8 = n + 8

9n + 8 = n + 8

9n = n

n = 0

Answer:

n = 0

Step-by-step explanation:

2n + (7n + 8) = n + 8

2n + 7n + 8 = n + 8

9n + 8 = n + 8

9n -n = 8 - 8

8n = 0

n = 0

Write a word problem that can be solved by dividing 6 by 5

Answers

Answer:

If john as 5 apples and has 6 friends That what an apple. How many apples will everybody get.

Step-by-step explanation:

How much sugar syrup what you get by making the following concentration 10% sugar syrup is it 80 g of sugar

Solve

Answers

Answer:

800g

Step-by-step explanation:

10% of x = 80 g

x = 80 x 10

x = 800g

Lin’s family is out for a bike ride when her dad stops to take a picture of the scenery. He tells the rest of the family to keep going and that he’ll catch up. Lin's dad spends 5 minutes taking the photo and then rides at 0.24 miles per minute until he meets up with the rest of the family further along the bike path. Lin and the rest were riding at 0.18 miles per minute.

Answers

It took Lin's dad about 3.6 miles for him to meet up with his family.

Speed

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let d represent the distance travelled by Lin to meet up with his family. Hence:

Total time for Lin's Dad = d/0.24 + 5

Total time for Lin = d/0.18

Hence:

d/0.24 + 5 = d/0.18

100d/24 + 5 = 100d/18

1800d + 2160 = 2400d

d = 3.6 miles

Find out more on Speed at: https://brainly.com/question/4931057

answer 7 and 10 only​

Answers

7.
We are given:
abcissa(x-coordinate) of given point: -6
let's say the ordinate(y-coordinate) of the given point is y
distance of the given point from (1,3) = √74

we can rewrite the given information as:
the distance between the points (-6,y) and (1,3) is √74

finding y:
we know that in order to find the distance between any two points, we use the distance formula, which goes as follows:
distance = [tex]\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

from the data we are given, let's say that:
(x₁, y₁) = (-6, y)
(x₂, y₂) = (1, 3)
(you can use them interchangably, there is no restriction on which point gets to be labelled as 1)

plugging this in the distance formula, we get:
distance  = [tex]\sqrt{(-6-1)^2 + (y - 3)^2}[/tex]
we are also given that the distance is √74,

√74 = [tex]\sqrt{(-7)^2 + (y - 3)^2}[/tex]

squaring both sides to get rid of the square root

74 = (-7)² + (y - 3)²
74 = 49 + y² + (3)² -2(y)(3)         (using the "square of sum" identity)
74 = 49 + y² + 9 - 6y
74 = 58 + y² - 6y
y² - 6y + 58 - 74 = 0                   (subtracting 74 from both sides)
y² - 6y - 16 = 0
y² - 8y + 2y - 16 = 0                   (splitting the middle term)
y(y - 8) + 2(y - 8) = 0
(y + 2)(y - 8) = 0
which means that:
y + 2 = 0    ,     y - 8 = 0
y = -2 , y = 8
These are the two possible values of y


8.
We are given:
points A and B
A: (3, y)
B: (6, 2)
distance between A and B = 5 units
finding possible values of y
here, we will use the distance formula again to find the value of y
distance formula: [tex]\sqrt{(x_a-x_b)^2 + (y_a - y_b)^2}[/tex]
plugging the given values, we get:
5 = [tex]\sqrt{(3-6)^2 + (y - 2)^2}[/tex]
25 = (3 - 6)² + (y - 2)²              (squaring both sides)
25 = (-3)² + (y - 2)²
25 = 9 + y² + (2)² - 2(y)(2)
25 = 9 + y² + 4 - 4y
y² - 4y + 9 + 4 - 25 = 0            (subtracting 25 from both sides)
y² - 4y - 12 = 0
y² - 6y + 2y - 12 = 0                 (splitting the middle term)
y(y - 6) + 2(y - 6) = 0
(y + 2)(y - 6) = 0

y + 2 = 0   ,    y - 6 = 0
y = - 2  ,   y = 6
These are the two possible values of y

please help with step by step​

Answers

Answer:

Alright breakdown

Step-by-step explanation:

#7. Constant of Proportionality.

divide the 276 by the 184: 276 / 184

which will give you an answer: 1.5

now, multiply 208 by 1.5: 312

Answer: YES

#8 same context, 300 / 425: 0.70

680 x 0.70 : 476

Answer NO

What s the value of h expression (2) 8

Answers

Answer:

the value of h is 16

1
A coffee pot holds 3 quarts of coffee. How much is this in cups?
4
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

12 cups

Step-by-step explanation:

You multiply the the quarts amount by 4

PLS ANSWER AS SOON AS POSSIBLE

Answers

Add and subtract the second term to the expression and factor by grouping.
3 (7b - c) (c2+2)

Answer:

[tex]3(7b - c)( {c}^{2} + 2)[/tex]

My solved. is on the picture hope it helps brainliest if correct.

PLS HELP
answer this quick questions please!!
1. c - (-3) = 15
2. (-7) + b = (-11)
3. d x (-4) = 32

Answers

12
-4
-8
Those should be the answers

Answer:

12, -4, -8

Step-by-step explanation:

1) c=12

c+3=15 subtract 3 from each side. c=12

2) b= -4

-7+b=-11 add 7 to each side. b = -4

3) d= -8

-4d=32 divide each side by negative 4. d = -8

Frank is on the swim team. Each week he swims a total of 6,000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer

Answers

Answer:

6 km

Step-by-step explanation:

1 meter = 1/1000 km

(1 meter = 1/1000 km) x 1000

1000 meters = 1 km

6000 meters = ?

1 x 6000m = 1000 x ?

6000 = 1000 x 6

6000/1000 = 1000 x 6/1000

6 = 6

Both sides divided by 1000 are 6, so the answer is 6 km.

Evaluate the expression for y=-29

-42(y+31)=


Please!!!!

Answers

Answer:

[tex] \huge{ \boxed{ \tt - 84}}[/tex]

Step-by-step explanation:

[tex] \sf \rightarrowtail - 42(y + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42( - 29 + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42(2)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42 \times 2[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 84[/tex]

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