Tell whether the lines through the given points are parallel, perpendicular, or neither.

Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)

Answers

Answer 1

Answer: Perpendicular

Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.

Answer 2

Answer:

Perpendicular

Step-by-step explanation:

Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.

To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.

Calculate the slope of the lines by dividing the difference in y by the difference in x:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]

m₂ is the negative reciprocal of m₁, so these lines are perpendicular.

Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.

Tell Whether The Lines Through The Given Points Are Parallel, Perpendicular, Or Neither.Line 1: (1, 0),

Related Questions

what is the domain of f? khan academy

Answers

Answer:

x cannot = -2

Step-by-step explanation:

if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.

Answer:

A

Step-by-step explanation:

f(x) = [tex]\frac{x-3}{x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain

The domain of f(x) is all real values of x such that x ≠ - 2

Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.

Answers

Step-by-step explanation:

x = eggs of Ayyub

y = eggs of Bran

z = eggs of Curtis

x + y + z = 48

y = x + 1

z = 1.5y = 1.5(x + 1)

now we are using the second and third equation in the first :

x + (x + 1) + 1.5(x + 1) = 48

x + x + 1 + 1.5x + 1.5 = 48

3.5x + 2.5 = 48

3.5x = 45.5

x = 45.5/3.5 = 13

y = x + 1 = 13 + 1 = 14

z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21

for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.

48/3 = 16

so, everybody should end up with 16 eggs.

therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).

John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20

Answers

Answer:

John spends $23.60 at the barbershop.

Step-by-step explanation:

convert all % to decimals (/100)

0.2 x 25 = 5

25 - 5 = $20

0.18 x 20 = 3.6

20 + 3.6 = $23.6

Please graph as this coordinate plane is. Thank you

Answers

Answer:

hope this helps :)

Mrs. Martin bought a flat screen that originally costs $220.00. If her coupon was for 30% off.

Answers

Answer:

66$

Step-by-step explanation:

[tex]300 \times \frac{30}{100} = 66[/tex]

5y+4x=10.51 8y+3x=10.39

Answers

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?

Answers

Answer:

8 laps

Step-by-step explanation:

every 8mins 4 laps are run

Maria completed a total of 8 laps in 16 minutes.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.

Assume that she completes [x] laps in 16 minutes.

x = L[walking] + L[Running]

x = (2 + 2) + (2 + 2)

x = 8

Therefore, Maria completed a total of 8 laps in 16 minutes.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

What is the length of the line?


Answers

Answer:

5.4

Step-by-step explanation:

You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4

A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

6x-36+120=180
what is the value of x, in degrees?

Answers

X=16


Mark brainpower plz

please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12

Answers

Answer:

D is answer

Step-by-step explanation:

-2x + 2y = 20

2x = 40-3y

so -(40-3y)+2y =20

-40+3y+2y = 20

5y = 60

y = 12

2x = 40-3y

2x = 40-3(12)

2x = 40-36

2x = 4

x = 2

so x = 2 , y = 12


Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276

Answers

Answer: B

Step-by-step explanation:

twice the sum of the number and 10 is 60 what is the number?​

Answers

Let the number be n

[tex]\\ \sf\longmapsto 2(n+10)=60[/tex]

[tex]\\ \sf\longmapsto n+10=60/2[/tex]

[tex]\\ \sf\longmapsto n+10=30[/tex]

[tex]\\ \sf\longmapsto n=30-10[/tex]

[tex]\\ \sf\longmapsto n=20[/tex]

Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:y =3 x=1 hope this helps :)

Step-by-step explanation:

I need help with the multiple choice ​

Answers

Answer:

d

Step-by-step explanation:

they intersect but aren't perpendicular.

Plzzzzz help meeee plzzzzzzz plzzz

Answers

Answer:

try 20%

Step-by-step explanation:

the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks

Answers

Answer:

$388.50

Step-by-step explanation:

9.25 *  42  = $388.50

What is the slope of a line that passes through (2, 4) and (3, 8)

Answers

4 is the correct answer because it just is i dont need to prove myself to you

Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2

Answers

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

[tex]an = \frac{an - 1}{4} - 2[/tex]

where,

n = number of terms

First term, a1 = 2

Second term, a2

[tex]an = \frac{an - 1}{4} - 2[/tex]

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

https://brainly.com/question/6561461

Answer:

a1 = 2

a2 = -3/2

a3 = -19/8

Explanation:

a_n-1 means the last term.

So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2

It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8

On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?

Answers

Answer:

25 questions total

Step-by-step explanation:

I hope this helps!

I do not understand

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf \dfrac{5 {}^{6} }{5 {}^{1} } [/tex]

[tex] \sf 5 {}^{6 - 1} [/tex]

[tex] \sf {5}^{5} [/tex]

dont want to fail gosh please help

Answers

Answer:

11X + 3 is correct

Step-by-step explanation:

first add the 9x and 2x= 11x

and then -2 + 5 = 3

Thus 11x + 3

Please Mark as brainliest

help me please!!!!
please be quick!!

Answers

Answer:

40m^2 e

Step-by-step explanation:

A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?

Answers

Answer:

1 3/4

Step-by-step explanation:

Sixteen is 64% of what number?

A. 12
B. 48
C. 32
D. 25

Answers

Answer:

D. 25

Step-by-step explanation:

16 divided by 64% is 25

Answer:

25

Step-by-step explanation:

Hope I helped you.

A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r​

Answers

Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept

The Andromeda galaxy is 2.54 million (2.54x106) light years from earth. If light can travel 5.865 trillion (5.865x1012) miles in a
year then how many miles is the Andromeda galaxy from earth?
O 1.48971x1019
O 2.309055x106
3.325x106
O 8.405x1018

Answers

Answer: 1.48971 x 10^19

Step-by-step explanation: 1-light year is approximately 5.865 x 10^12 which is 5,865,000,000,000 kilometers or 6 trillion miles in 1-year. The Andromeda galaxy is indeed 2.54 million light-years from Earth which is the closest galaxy to our Milky Way Galaxy.

The best way to this is to put this into a scientific calculator. If it shows 1.48971E19, the E stands for exponent and the 19 next to the E stands to the 19th power. That is written as 1,489,710,000,000,000,000 miles!! from Earth. That's a lot of zeros. That's the reason scientific notation is used; to avoid all those zeros and express very small/large figures.

Hope this explanation helps.

Is this right?
If not what is the answer

Answers

Answer:

yes it is correct

Step-by-step explanation:

what are the answers to the equation please get back to me

Answers

Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

3. You need to hire a taxi. Taxi A charges $9.25 plus $1.50 per mile. Taxi B charges $10.50 plus $1.25 per mile. Find the number of miles for which the total costs are the same for each taxi.

Answers

Answer:

five miles

Step-by-step explanation:

taxi A: for one mile: 10.75

taxi B: for one mile: 11.75

two miles: A: 12.25 B: 13

three miles: A: 13.75 B: 14.25

four miles: A: 15.25 B: 15.5

five miles: A: 16.75 B: 16.75

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