Are the lines parallel? y = x + 4 and y = x-2

A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

[tex]y=x+4[/tex]

And:

[tex]y=x-2[/tex]

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

[tex]y=(1)x+4[/tex]

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

[tex]y=(1)x-2[/tex]

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.


Related Questions

Approximate the value of the positive square root of 110 to the nearest hundredth

Answers

The approximate value of the positive square root of 110 to the nearest hundredth is: 10.48

If the area is 26.8 sq ft, what is the value of x?​

Answers

Answer:

area of rectangle =length multiplyed by breath

4x multiplied by x=26.8

4x²=26.8

x²=26.8 divided by 4

x²=6.7

x=2.59

What is -2x-4y=36 written in slope-intercept form?

Question 3 options:

y=12x+9

y=−12x+9

y=−2x−9

y=−12x−9
I will give a brainliest

Answers

I think the third one

I’m not sure
Y = -1/2 x -9




That’s the answer

PLEASE HELPPP!!!

The graph of y = ax2 + C contains the point (2, 14). Which point lies on the graph of
y= a(x - 2)2 + c?
A. (4, 14)
B. (2, 16)
C. (0, 14)
D. (2, 12)

Answers

Answer: A

Step-by-step explanation: pretty sure lol

Answer:

The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).

Step-by-step explanation:

Which pairs of angles are always congruent? (select all that apply)
Corresponding Angles

Same Side Exterior Angles

Alternate Exterior Angles

Linear Pair Angles

Vertical Angles

Same Side Interior Angles

Alternate Interior Angles

Answers

Answer:

Corresponding angles

Alternate Exterior Angles

Alternate Interior Angles

I hope this helps I may be wrong I am sorry if i am

Answer:

numbers 1 and 5

Step-by-step explanation:

i toook the test

Look a the picture please

Answers

Answer:

a. 6 1/2

Step-by-step explanation:

If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5

6.5 as a fraction is 6 1/2. So, the answer is a.

Have an amazing day!! Good luck on your test C:

i just need some help on a few math questions. i'm very bad at math sorry :(

Answers

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

look at image..........................

Answers

Answer:

8p+25b

Step-by-step explanation:

Answer:

8p+25b

Step-by-step explanation:

You dont know how many of each he bought so you use the variables. so,  p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)

what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?

Answers

I think its: 4 = 3(1) + b

Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a

down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good

condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost

at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,

and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,

approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and

consider the trade-in to be a reduction in the amount paid.)


OPEN TOP TO SEE ANSWER!!!!

Answers

Answer:

B).  $38,821

Step-by-step explanation:

By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is  

$38,821

on e2020

The total amount that Valerie will pay for her new car is $35,899.87.

Online Finance Calculator

We can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:

Data and Calculations:

Auto Price = $32,495

Loan Term = 60 months (12 x 5)

Interest Rate = 8.64%

Down Payment = $1,877

Trade-in Value = $28,433 ($32,495 x 87.5%)

Sales Tax = 8.23%

Title, Registration and Other Fees = $2,557 ($2,243 + $314)

Calculate

Monthly Pay: = $44.98

Total Loan Amount = $2,185.00

Sale Tax = $334.30

Upfront Payment = $4,768.30

Total of 60 Loan Payments = $2,698.57

Total Loan Interest = $513.57

Total Cost (price, interest, tax, fees) = $35,899.87

Thus, the total amount that Valerie will pay for her new car is $35,899.87.

Learn more about financing a car purchase at https://brainly.com/question/20566521

PLS HELP WITH THIS QUESTION

Answers

C would be the answer to this problem!

Answer:

I think C

Step-by-step explanation:

Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in years, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?

Answers

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Answer:

His error is adding 10 and 2/3 before multiplying by A...

…So option A is your answer.

Hope it helps!

If 72 is 9 times larger than 8, which statement below is true?
A) 8 is 72 times larger than 9
B) 72 is 8 times larger than 9
C) 9 is 8 times larger than 72
D) 8 is 9 times larger than 72

Answers

B - because 72 is 9 times larger than 8. Therefore, 72 is also 8 times larger than 9. You can flip multiplication around just like addition.

19. Suppose carpet costs $20 per square yard. How much will it cost to carpet
the floor shown below?
12 yards
8 yards
(a) $1,160
(b) $400
(c) $800
(d) $1,920 (e) none of these
Please show the work

Answers

20 x 12 = 240
20 x 8 = 160
240 + 160 = 400
answer is (B)

Answer:

$400

Step-by-step explanation:

12*20=240

8*20=160

240+160= 400

A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?

Answers

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

y = 0.2x + 77109

Recall :

y = bx + c

c = initial number of hime runs = 77b = slope y = total career home runs x = number of games played

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

y = 0.2x + 77

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

Learn more : https://brainly.com/question/3565320

An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller arter
much blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?
A)
3
B)
3T1
C)
V3
D)
2/3

Answers

9514 1404 393

Answer:

  C)  √3

Step-by-step explanation:

Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.

Then the radius of the smaller arteries must be ...

  (3 mm)(1/√3) = √3 mm

CAR TRAVEL One car travels about 28.5 miles on each gallon of gas. Suppose the average price of gas is $2 per gallon. About how much would the gas for a 978 mile trip cost? (p. 28)​

Answers

Hopefully I’m not wrong, it should be 978 divided by 28.5 which is 34.315. Then that times $2/2 should be your answer. Which is 68.631 aka $68.63.

Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.

Answers

Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x

Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x

Step-by-step explanation:

Let x= Puppy's weight in the first visit.

If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)

= x+ 0.1x

i.e. expression to show puppy's current weight = x+ 0.1x

In simplified form it will be

x+ 0.1x = x(1+0.1)

=x(1.1)

=1.1 x  (simplified form )

If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)

= 1.1x+10% of 1.1x

= 1.1x + 0.1(1.1x)

Expression that for puppy's future weight= 1.1x + 0.1(1.1x)

= 1.1x(1+0.1)

= 1.1x(1.1)

=(1.1)²x

= 1.21x  (simplified form)

Helps me solve this problem please

Answers

Answer:

6

Step-by-step explanation:

2x - 3x + 20 + 5x - 40 = 4       combine like terms

(2x - 3x + 5x) + (20 - 40) = 4

4x - 20 = 4      add 20 to both sides

4x = 24     divide both sides by 4

x = 6

On your 16th birthday, you open a savings account with $1000. The account pays 4% compound interest. How much will be in the account on your 50th birthday (the beginning of the 35th year in the account)? i don't really understand compound interest that well

Answers

Answer:

Approximately $4946

Step-by-step explanation:

The compound interest can be determined by:

Compound interest = P [tex](1 + r)^{T}[/tex]

Where: P is the principal, r is the rate and T is the number of years.

Given that: P = $1000, r = 4% and T = 34 years, then;

Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]

                                = 1000 [tex](1 + 0.04)^{34}[/tex]

                                = 1000 [tex](1.04)^{34}[/tex]

                                = 1000 x 3.79431

                                = 3794.31

Compound interest ≅ $3794

The amount that would be in the account = Principal + interest

                                            = $1000 + $3794

                                            ≅ $4794

While creating your résumé, what should you do before making a final copy to fix any typos or errors?

Answers

Answer:

you could ask a friend or someone you are close to, to proof read it. You could also but it through Grammarly to find all errors that someone could just overlook.

The area of a Rhombus is 60cm² and one of its diagonals is 15cm, then the length of other diagonal is

Answers

The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:

60cm2=12(d1⋅d2)

where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.

The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by

(152 ) 2 + (82)2 = s 2

or s = 172cm.

The perimeter is therefore 4 X 172 = 34 cm.

0.75x+4x-5 step by step

Answers

Answer:

4.75x-5

Step-by-step explanation:

Answer:

4.75x - 5

Step-by-step explanation:

Step 1: Combine Variables

0.75x + 4x = 4.75x

Simplified - 4.75x - 5

Find the value of x and y

Answers

Answer:

(5x+4)=114(vertically opposite angle)

5x=114-4

x=110/5

x=22

(3x-24)+(2y)+144=180(sum of straight line angle)

(3X22-24)+(2y)=180-144

(66-24)+2y=36

42+2y=36

2y=36-42

y=(-6)/2

y=-3

I need some help with (−3f−5f+9)−(−6f+2)

Answers

Answer:

the correct answer would be -2f+7

In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^6•2^3. Expressed as a power,how many bacteria are in the Petri dish after 120

Answers

Answer:

[tex]Population = 2^{24}[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2^{6}[/tex]

Increment = doubles every 40 minutes

Required

Determine the population after 120 minutes

First, we need to determine the fraction of 120 to 40

[tex]Fraction = \frac{120}{40}[/tex]

[tex]Fraction = \frac{3}{1}[/tex]

[tex]Fraction = 3[/tex]

If for every 40 minutes, we have:

[tex]Population = 2^6*2^6[/tex]

We'll have:

[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute

[tex]Population = 2^6 * 2^{18}[/tex]

Apply law of indices

[tex]Population = 2^{6+18}[/tex]

[tex]Population = 2^{24}[/tex]

Answer:

its 2-9

Step-by-step explanation:

What is the solution for the system of equation
Y=-2x+8 y=x-4

Answers

Answer:

(x , y) = (28/5 , 8/5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x , y) = ( 28/5 , 8/5 )

               

Raza works at a flea market selling sunglasses. He is paid $7.50/h plus a 75¢ commission for every pair of sunglasses he sells.
Write an equation to model Raza’s earnings. (1 mark)


Find Raza’s earnings if he sells 25 pairs of sunglasses during a 6-h shift. (2 marks)




How many pairs of sunglasses must he sell to earn $90 in 8 h? (2 marks)

Answers

Answer:

7.50h+0.75s        63.75       30

Step-by-step explanation:

7.50 x how many hours + 0.75 x how many sunglasses he sold

7.50 x 6 + 0.75 x 25= 63.75

7.50x8= 60    0.75x40=30               60+30=90

Can someone help me on questions 10-15

Answers

Answer:

10. Supplementary

11. Congruent

12. Congruent.

13 . congruent

14 supplement

15 supplementary

Hope this helps you Do mark as brainliest!

Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3

Answers

(-3,2) (0,0) i think. it’s been a whole
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