Determine from the given points of two lines if the lines are parallel, perpendicular, or neither. Enter your answers below. Use a forward slash (i.e. "/') for all fractions (e.g. 1/2 for 1/2 ). o Line a: (3,1) and (8,6) o Line b: (-6,1) and (2,9)​

Determine From The Given Points Of Two Lines If The Lines Are Parallel, Perpendicular, Or Neither. Enter

Answers

Answer 1

Answer:

lines are parallel

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines is - 1

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = 3, 1) and (x₂, y₂ ) = (8, 6)

m = [tex]\frac{6-1}{8-3}[/tex] = [tex]\frac{5}{5}[/tex] = 1 ← slope of line a

Repeat with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2,9)

m = [tex]\frac{9-1}{2+6}[/tex] = [tex]\frac{8}{8}[/tex] = 1 ← slope of line b

Since both slopes are equal, line a and line b are parallel


Related Questions

STAY UP LATE TONIGHT!!!
MARS WILL BE VISIBLE FROM EARTH!!!
IT WON'T BE LIKE THIS AGAIN, UNTIL 15 YEARS!!!

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Answer:

You sure this true

Step-by-step explanation:

How you know

Answer:

OOOOOOOO THANK YOU!!!!!!

Show work please 100 points plus brainliest

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Answer:

10. :)

Step-by-step explanation:

Michelle purchased a kids table with a square top. if the area of the square top is 400 inches, what is the length of one of the sides?

i will mark brainliest just please i'm gonna fail fmfmcb

Answers

Answer:

fiydy8dy8d8ydy8ddiydy8dyr68d8yd8yd86dy8d8yd86d86f8yf8yfiyfi6dy8f86fi6di6di6f58yfiigdfyifigfuditit8yd58dityofc8568d68r96r69d has been in H2g2g2hh2 for a year wtfor subscribing to the

Answer:

20 cm

Step-by-step explanation:

the square root of 400 is 20

since all 4 sides are equal and the formula is area = L X B

20 x 20 is 400

help on math angle question. ik its easy but I have no idea how math works :D

Answers

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

complementary angles are angles that equal to 90º 

so let's add the terms (from angles A & B) and set them equal to 90º

3x+2 + x-4 = 90

4x -2 = 90

add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms

4x = 92

divide both sides by 4

x=23

We're not done though, we must plug in our x value to Angle A terms and Angle B terms.

(3(23) + 2)º = measure of Angle A            (solve for both of them)

(23-4)º =  = measure of Angle B

3(23) + 2 =

3(23) = 69 (add the 2)

71º is measure of angle A

23-4 = 19º

19º is measure of angle B

double-check

71+19 = 90º

It works

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

Solve. The following decimal number operations.


1 a. 1.2 + ______ = 1.8


1 b. 3.9 + ______ = 7.47



2 a. ______ + 3.8 = 7.9


2 b. ______ + 0.36 = 0.36



3 a. 1.2 + ______ = 4.1


3 b. ______ + 0.63 = 6.33



4 a. 4.1 + ______ = 7.68


4 b. ______ + 0.9 = 3.8



5 a. 5.1 + ______ = 5.98


5 b. 3.1 + ______ = 4.3



6 a. 0.7 + ______ = 1.3

Answers

1a. .6
1b. 3.57

2a. 4.1
2b. 0

3a. 2.9
3b. 5.7

4a. 3.58
4b. 2.9

5a. .88
5b. 1.2

6a. .6

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

due very soon but I can buy myself some time.
please at least explain how to do it and/or how to set it up.
also, ignore the empty set sign on 5 I realized it was probably wrong but didn't want to take another picture

Answers

Answer:

  4) 16√3 in²

  5) 63 cm²

Step-by-step explanation:

The formula to use in these cases is ...

  A = (1/2)ab·sin(θ)

where a, b are the side lengths and θ is the angle between them.

It helps to know the trig functions of the "special" angles used here.

  sin(120°) = sin(60°) = (√3)/2

  cos(60°) = 1/2

  sin(135°) = cos(45°) = (√2)/2

__

4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...

  x = (8 in)cos(60°) = (8 in)(1/2) = 4 in

So, the bottom edge of the triangle is 12 in - 4 in = 8 in.

The area is ...

  A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²

__

5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...

  x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm

Then the base of the triangle is ...

  16√2 cm -9√2 cm = 7√2 cm

The area is then ...

  A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²

paint cost 29.95 dollars per gallon, Eumya needs 12.25 gallons to complete a painting project. how much will Eumya spend on paint?

Answers

Answer

Step-by-step explanation:

Which transformation is shown by the coordinates below? L (-1, 9) M (-8, 8) N (-3, 5) L '(- 9, -1) M' (- 8, -8) N '(- 5, -3) A. Reflection over the x-axis / B. Translation 8 units left and 8 units down / C. Rotation 90 degrees clockwise / D. Rotation 270 degrees clockwise

Answers

Answer:

D. Rotation 270 degrees clockwise.

Step-by-step explanation:

The transformation used in the coordinates below was a rotation 270 degrees clockwise, whose definition is:

[tex](x', y') = (r\cdot \cos (\theta - 270^{\circ}), r\cdot \sin (\theta -270^{\circ}))[/tex]

Please note that clockwise rotation is represented by the minus sign.

Where [tex]r[/tex] is the norm of original point, defined as:

[tex]r =\sqrt{x^{2}+y^{2}}[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]

And [tex]\theta[/tex] is the direction of the point centered at origin and with respect to +x semiaxis, measured in sexagesimal degrees:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex]

Now we proceed to prove the statement:

[tex]L (x, y) = (-1, 9) \longrightarrow L'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-1)^{2}+9^{2}}[/tex]

[tex]r = \sqrt{82}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{9}{-1} \right)[/tex]

[tex]\theta = 96.340^{\circ}[/tex]

Rotation

[tex]L'(x,y) = (\sqrt{82}\cdot \cos (96.340^{\circ}-270^{\circ}),\sqrt{82}\cdot \sin (96.340^{\circ}-270^{\circ}))[/tex]

[tex]L'(x,y) = (-9, -1)[/tex]

[tex]M(x,y) = (-8,8) \longrightarrow M'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-8)^{2}+8^{2}}[/tex]

[tex]r = \sqrt{128}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{8}{-8} \right)[/tex]

[tex]\theta = 135^{\circ}[/tex]

Rotation

[tex]M'(x,y) = (\sqrt{128}\cdot \cos (135^{\circ}-270^{\circ}),\sqrt{128}\cdot \sin (135^{\circ}-270^{\circ}))[/tex]

[tex]M'(x,y) = (-8, -8)[/tex]

[tex]N(x,y) = (-3,5)\longrightarrow N'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-3)^{2}+5^{2}}[/tex]

[tex]r =\sqrt{34}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{5}{-3} \right)[/tex]

[tex]\theta = 120.964^{\circ}[/tex]

Rotation

[tex]N'(x,y) = (\sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}), \sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}))[/tex]

[tex]N'(x,y) = (-5, -3)[/tex]

Hence, the correct answer is D.

A parking lot is 20 feet long. One tortoise starts at the edge of the parking lot and moves at a rate of 6 feet per minute. Another tortoise starts 4 feet from the edge of the parking lot and moves 2 feet per minute. Write an equation to represent when they will be in the same spot.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Length of parking lot = 20 feets

Speed of tortoise which starts at the edge = 6 feets per minute

Speed of tortoise which starts 4 feets from the edge = 2 feets per minute

Equation to represent when they will be in the same spot.

Distance = speed * time

Distance of Tortoise at edge = 6ft/min * t = 6t - - (1)

Distance of the other tortoise = (4 + 2t) - - - (2)

Equating both (1) and (2)

6t = 4 + 2t

6t - 2t = 4

4t = 4

t = 4/4

t = 1

Hence, they'll be at the same spot after 1 minute.

Classify the following polynomial: 3x² + 7x - 5

Answers

Answer:

trinomial

Step-by-step explanation:

Since this polynomial has 3 different terms, this is, in fact, a trinomial.

Hope this helps :)

Evaluate the expression when a=3, b=2, and c=12
6+a
5b
C-1
Ct5
Can I have the answer to these? Please!!

Answers

Answer:

Step-by-step explanation:

6 + a

Putting value of a

6 + 3 = 9

5b

Putting value of b

5(2) = 10

C - 1

Putting value of c

12 - 1 = 11

What single transformation was applied to triangle AAA to get triangle BBB?

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Translation

(Choice B)
B
Rotation

(Choice C)
C
Reflection

(Choice D)
D
Dilation

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

answer is step 5 choice a

After a hurricane, the Johnsons had 6 inches of water in their basement that was being pumped out at a rate of 1 inch per hour. The Grahams had 10 inches of water in their basement being pumped out at a rate of 2 inches per hour. Write an inequality that can be used to determine the number of hours it will for the water level in the Grahams’ basement to be equal to or less than the Johnsons’.

Answers

Answer:

6>5

Step-by-step explanation:

I know it is true

6W - 12x + 7w - 8x =

Answers

6W (-12x) + 7W (-8x) = 13W - 20x
Explanation:
6W + 7W = 13W
-12x - 8x = -20x

the theatre has 4 chairs in a row. there are 5 rows. how many chairs are there in total.

Answers

Answer:

20

Step-by-step explanation:

1111     <--- 1st row

1111     <---- 2nd row

1111      <--- 3rd row

1111     <----- 4th row

1111     <----- 5th row

use multiplication

How can we find out whether or not a point is on the line?

Answers

Answer:

Plug the points into an equation

Step-by-step explanation:

To find out if a point is on a line, you can plug the points back into an equation. If the values equal one another, then the point must be on a line.

Answer:

To determine if a point is on a line you can subsitute the x and y coordinates into the equation.. If the values equal one another, then the point must be on a line.

Step-by-step explanation:

For example if the x - 3y = 11 and the point is (2, -3) plug in

2 - 3(-3) = 11

2 + 9 = 11

11 = 11

How long is this line segment?

Answers

What he said is right

Please help on these 6 “?’s”

Answers

that’s a great question ‍♀️

The graph shows a reflection.

True or false: The pre-image and the image are not congruent.

Answers

Answer:

False

Step-by-step explanation:

That is false

If the pre-image is reflected over any axis, the image will still be congruent to it

CAN SOMEONE HELP ME OUT ASAP!!! PLEASE

Answers

Answer:

-6.5)7 1/4)6.57)-5 58/100)9 1/3

Step-by-step explanation:

I have no explanation

A 16-ounce can of carrots for $1.29 OR a 20-ounce can of carrots for $1.49

Answers

Answer: 20 ounce

Step-by-step explanation: 1.29/16=0.080625 1.49/20=0.0745

Answer:

20 ounce, its 20 cents more and it has more carrot.

Step-by-step explanation:

What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube

Answers

b a perfect cube because 5 cubed is 125

5 (4 - 3 over3)

helppppppppppppp

Answers

Answer:

25

Step-by-step explanation:

3 over 3 = 1

5 x (4-1)

5 x 4 = 20

5 x 1 = 5

20 + 5 = 25

Plz help fast I’ll mark Brainiest. Don’t answer just for points.

Answers

Sum of interior angles in quadlateral (trapezoid) is 360 degrees.

[tex]5y+2+8y+73+2y=360[/tex].

Simplify by collecting y terms and subtracting 73 on the other side.

[tex]15y+75=360\implies y=285/15=\boxed{19}[/tex].

Hope this helps.

You can use your calculator for this one bro. 5y+2 is 7y and then you can just multiply the rest and get your answer and label the answer with y.

y=−3(x+3)+4 i have no clue how to answer

Answers

Answer:

y=-3x+13

Step-by-step explanation:

y=-3x-9+4

-9+9= 0 so that cancel out

next u do

4+9=13

and thats when u drop the variables and the 13 down then it will be

y= -3x + 13

what is 1.8399 rounded to the nearest tenth

Answers

1.84




explanation : the 9 rounds it to a 4

Answer:

1.8400

Step-by-step explanation:

I need help. What is m

Answers

Answer:

A

Step-by-step explanation:

(8x + 4) = (10x-6)

If you solve this you find x = 5, plug that into one and you get 44 degrees

12x5 what is the answer

Answers

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's 60 5+5+5+5+5+5+5+5+5+5+5+5

Open GeoGebra, and follow the steps below to create and compare triangles using the side-angle-side criterion.

Question 1
Create a triangle of your choice on the grid. Measure two of the sides on the triangle and the angle between the two sides. Record the measurements in the table.

Answers

Answer:

Answers will vary but might resemble this answer based on a triangle called ∆ABC.

Help Asap ! Find The Measure Of Angle A In The Triangle.

Answers

Answer: m<A = 35

Step-by-step explanation: The sum of the measures

of the interior angles of a triangle is 180°.

So we can setup the equation 3x + 5 + 8x + 65 = 180.

Combining our numbers and variables on the left, we have 11x + 70 = 180.

Now subtract 70 from both sides to get 11x = 110.

Dividing both sides by 11, we find that x = 10.

In the diagram, the m<A is represented as 3x + 5.

Plugging a 10 in for x, we have 3(10) + 5 or 30 + 5 which is 35.

So the m<A = 35.

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