Write the equation of the line passing through (-2, 1) and parallel to the line whose equation
is y = 2x + 1. Express the equation in point-slope form and slope-intercept form.

Answers

Answer 1

Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)

Step-by-step explanation:

Parallel means the m value or slope are equal

Given those points and the slope you can begin to write the slope y intercept form

y=2x+B

Solve B or Y intercept x=0 and the Y value we get from the given points.

1=2*0+B

y=2x+1 (slope intercept form)

for point slope plug the points in this equation

y-y1=m(x1-x1)

y-1=2(x+2) (point slope form)


Related Questions

A set of house plans is made in the ratio 30:1. if a room is 6m long,how long is this room on the plan

Answers

Answer:

0.2

Step-by-step explanation:

30: 1

6:?

cross multiply

(6*1)/30

ans:0.2cm

Simplify: 8√3 + 12√3

Answers

Answer:

20√3

Step-by-step explanation:

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?

40m/s2

30m/s2

20m/s2

72m/s2

Answers

the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.

$1689 invested for 4 years at 3% compounded annually ?

Answers

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

The amount of money gained after an investment is compounded is given by:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time

Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901[/tex]

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

Find out more at: https://brainly.com/question/14295570

Rewrite 2/9+5/12 with a common denominator.

Answers

Step-by-step explanation:

direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form

sorry for bad english

edit:Wrong answer

2/9 + 5/12

LCM = 36

=》2/9 = 2×4/9×4 = 8/36

=》5/12 = 5×3/12×3 = 15/36

2/9 + 5/12

= 8/36 + 15/36 (LCM = 36)

= 23/36 -----> 2/9 + 5/12 with a common denominator.

________

Hope it helps ⚜

Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?

Answers

Answer:

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Step-by-step explanation:

Quantity Equation:: x + s = 62 shares

Value Equation::: 6.50x+7.25s = 433 dollars

---------------------------

Modify for elimination:

6.5x + 6.5s = 6.5*62

6.5x + 7.25s= 433

-----------------------------

Subtract and solve for "s":

0.75s = 30

-----

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Hope this helps

Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?

Answers

Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8

Step-by-step explanation:

When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?

Answers

Answer:

X - X/12 = 14 2/5 = 72/5        1/12 of X is lost in roasting

(12 X - X) / 12 = 72/5

11 X / 12 = 72/5

11 X = 864 / 5

X = 864 / 55

15.71 lbs     handy to use calculator here

Or 864 / 55 = 15 39/55 lbs

Answer:

16 lbs

Step-by-step explanation:

.
Explain why the two figures below are not similar. Use complete sentences and
provide evidence to support your explanation. (10 points)

Answers

Answer:

These figures are not the same because the Slope of DE is not the same as the slope of JK.

Step-by-step explanation:

Slope of DE = -2/1

Slope of JK = -1

If they were similar, the slope would be the same, but the size would not.

-Chetan K

The sum of one fifth of a number and 3 7/10 is 7. Find the number

Answers

Answer:

Step-by-step explanation:

3

7. Sid has a board that is 8 5/6
feet long. He cuts a piece off of the board that
is 3 1/4 feet long. How long is the remaining piece of board

Answers

Answer:

5 7/12 feet left

Step-by-step explanation:  

Step 1:  8 5/6 - 3 1/4

Step 2:  = 67/12 (Put into proper fraction)

Step 3:  = 5 7/12

Hope that helps :)

Answer:

5 7/12

Step-by-step explanation:

Given that the board is 8 5/6 feet long.

Cuts off 3 1/4 feet.

8 5/6- 3 1/4

Change fractions into improper fractions.

8 5/6=53/6

3 1/4=13/4

-------------------------------------------------------------

53/6x2/2=106/12

13/4x3/3=39/12

106/12-39/12=67/12

=5 7/12

Hope this helps :)

Need help with this question

Answers

Answer: D

Step-by-step explanation: n

The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.​

Answers

Answer:

i: 14

ii: 140

iii: 770

(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.

Step-by-step explanation:

i: 650/40=14

ii: 14x10=140

iii: 14x55=770

Simplify the expression. n+3(n−1)

Answers

Answer:

4n - 3

Step-by-step explanation:

[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]

4n-3 I’m sure I’m right.

the numbers one through 10 are written on individual cards and place in a bag. If you reach into the bag to pull out card what is the probability that it will be a 7​

Answers

Answer:

1 in 10 chance

Step-by-step explanation:

There are 10 cards, so since you reach into the bag and pull out only 1 card, there is a 1 in 10 chance.

Explain why the order in an ordered pair is important​

Answers

Step-by-step explanation:

An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.

The x-coordinate always comes first, before the y-coordinate.

(x, y)

Step-by-step explanation:

The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.  

In an ordered pair, (x, y):

The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.

We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.

For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.  

Please see the attached screenshot where it shows how these two points have varying locations.  

how do you do this?? could you kindly include your work pls..

Answers

Answer:

B.  0.

Step-by-step explanation:

(x + 2y)dy/dx = 2x - y

dy/dx = (2x -y)/(x + 2y)

Using implicit differentiation and the Quotient Rule:

d^2y/dx^2 =  (x + 2y)(2 - y*dy/dx) - ((2x - y)(1 + 2y*dy/dx)) / (x + 2y)^2

At the point (3, 0), dy/dx = (6-0)/(3 + 2(0)) = 2.

So substituting in d^2y/dx^2, we have:

(3 + 0)(2 - 0) - (6-0)(1 + 2(0))/  (3+0)^2

= (6 -  6) / 9

= 0.

A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Radius is half of diameter. So the radius of the circle is 6 in.

The formula for getting the area of circle is:

A = π[tex]r^{2}[/tex]                                π = 3.1416

A = (3.1416)(6)[tex]^{2}[/tex]

A = (3.1416)(36)

A = 113.09 square inches

Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?

Answers

no they are not equivalent

Step-by-step explanation:

due that when you subtract 12 from 4 =8

but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more

Please help

Consider the graph of g(x)= 2-8x12. identify the y- intercept, the vertex, and the zero of the functions.

Answers

the answer is c
hope this helps

In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?

Answers

Answer:  4/5

Work Shown:

m = number of girls who have an A = 12

n = number of girls in the class = 15

probability = m/n = 12/15 = (3*4)/(3*5) = 4/5

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Step-by-step explanation:

32 is 40 percent of what number? A 12.8 B 128 C 114 D 124​

Answers

Answer: C

.Step-by-step explanation:

it was right for me so if its wrong im sorry :)

need help with this please!! ​

Answers

Answer:

x = -4.

y = 0.

Step-by-step explanation:

Each element is multiplied by -2, so

-2 * x = 8

x = -4.

-2*y = 0

y = 0.

What is the value of v?

Answers

Answer:

34 degrees

Step-by-step explanation:

If you know the 2 interior angles of a triangle, you can find the 3rd.

This is useless since this is a right triangle.

In this case:

v + 46 = 90

v = 34 degrees

You are welcome!

Kayden Kohl

8th Grade Student

What is the length of the unknown leg in the right triangle?

Answers

Answer:

a is 20 cm long

Step-by-step explanation:

I used a triangle solver to get that length, sorry I can't actually prove it step by step

hope this helps!

Which repression is equivalent to:
(Picture)

Answers

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

Plz help me well mark brainliest! Only if u are right!

Answers

Answer:

[tex]x=-6\frac{1}{2}[/tex]

Step-by-step explanation:

I hope this help you

Answer:

B. x = -6 1/2

Step-by-step explanation:

13 3/4 + x = 7 1/4

55/4 + x = 29/4

x = -26/4 ~ -6 1/2

What is the slope of the line on the graph?

Answers

Answer:

Step-by-step explanation: to find the slope rise over run

Acute triangle from one point to the other

Answer 4/11

According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not.

Required:
What is an appropriate formal hypothesis statement for Bryanna's study?

Answers

According to her study, we have that:

The null hypothesis is [tex]H_0: p = 0.32[/tex]The alternative hypothesis is: [tex]H_1: p > 0.32[/tex]

At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:

[tex]H_0: p = 0.32[/tex]

At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:

[tex]H_1: p > 0.32[/tex]

A similar problem is given at https://brainly.com/question/25679468

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