What is the equation of the line that is parallel
to the line y = 2x - 1 and passes through the
point (2, 7)?

Answers

Answer 1

Answer:

y= 2x + 3

Step-by-step explanation:

To have a parallel line they need to have the same slope.

Then you need to plot the point (2,7).

A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).

y= (slope) + y-intercept

Answer 2

Answer:

y = 2x + 3

Step-by-step explanation:

1. Approach

The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.

2. Slope

As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.

3. y-intercpet

Substitute in the point that is given, and solve for the y-intercept.

y = mx + b

y = 2x + b

7 = 2(2) + b

7 = 4 + b

3 = b

4. Assembling what one knows

The equation of the line is;

y = 2x + 3

Were 2 is the slope, and 3 is the y-intercept.


Related Questions

(6x+9)−(7x+1) find the difference

Answers

answer: -x+8
explanation: it’s in its simplest form because it cannot be factored
ANSWER: -x + 8

Explanation:

(6x+9)-(7x+1)
remove parentheses and change the sign of each term of expression whenever there is a - in front of an expression in parentheses

6x+9-7x-1
collect like terms
-x+9-1
subtract the numbers
-x+8

Isabella deposited $2,000 in an account that earns 5% simple annual interest. After one year, how much interest will her investment earns?

Answers

Answer:

2100

Step-by-step explanation:

5% of 2000 = 2000 x 1/20 = 100.

2000+100=2100

Also, if it said how much interest will her investment PAY, then it would be $100 because of the 5% simple interest.

Ans = $2,100
2000 x 1.05= 2100
1.00 = 100%
1.05 = 100% +5%

1. FIND THE SLOPE FROM THE TABLE.

Answers

Answer:

B

Step-by-step explanation:

Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2

plz someone help ASAP! thanks​

Answers

Answer:

B

Step-by-step explanation:

Because at least means not less than 50 or equal to 50

Since he wrote 18 pages then you have to add.

why doesn't my messages work?

Answers

Answer:

I was wondering the same thing. maybe it is specific for certain people.

Step-by-step explanation:

Answer:

i think you have to be a certain rank

Step-by-step explanation:

2/3x+5=21 pls use shoe work

Answers

[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]

11. If 9m - 3 = -318, then 14m = ?
a. -28
b. -504
c. -329
d. -584
e. -490

Answers

Answer:

e. -490

Step-by-step explanation:

-318+3= -315

-315/9= -35

So that would mean m= -35

-35*14= -490

9m - 3 = -318
+ 3. + 3
9m. = -315
9m / 9 = -315/9
m = -35

14m =
14 (-35) = -490

The answer is e

How to graph 2x + y = 4 ?
Explain steps please !!

Answers

you need to rearrange your equation to make y the subject which would be

y= -2x+4

this now matches the formula y= mx+c , -2 being m and 4 being c.

c is your y intercept so the graph will go through 4 on the y axis. Then m is the gradient of your graph and because it is negative you know it is going downwards. 2 means that every unit value you go across the x axis the y axis will go down 2.

To find where your graph crosses the x axis you need to make y=0 in your equation which looks like
0=-2x+4
2x=4
x=2

Now you know that your x intercept is 2 so you can draw a line going through 4 on the y axis and 2 on the x axis like my photo.

A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?

Answers

Answer:

im not completely sure but I'd say 30

Step-by-step explanation:

well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure

What is valué of the x-coordínate that is 9 units to the left (5,-8)

Answers

Answer: -4

Step-by-step explanation:

In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?

Answers

Answer:

1500%

Step-by-step explanation:

The formula for Percentage increase is

Increase/ Initial Amount × 100

Increase = Current Amount - Initial Amount

Increase = $320,000 - $20,000

Increase = $300,000

Percentage Increase =

$300,000/$20,000 × 100

= 1500%

The percent increase in home value in those 50 years is 1500%

15 out of 50 students have pets at home. What percent of the students have pets at home?

Answers

Answer:

7.5

Step-by-step explanation:

divide 15 and 50

Hey guys I really need help on this one!

Answers

I’m pretty sure it’s the last one. :)

Present the trigonometric relations of the ratios via,
Pythagoras Theorem

Answers

Answer:

ypotenuse squared = adjacent squared + opposite squared

Step-by-step explanation:

sin θ =opposite/hypotenuse

tan θ = opp/adjacent

cos θ = adj/hyp

Pythagoras Theorem states that hypotenuse squared = adjacent squared + opposite squared

I need the answer to this please thank you

Answers

Answer:

[tex]m(\widehat{WXZ})[/tex] = 160°

Step-by-step explanation:

By angle sum postulate,

m∠WYX + m∠XYZ = m∠WYZ

m∠WYZ = 50° + 30°

              = 80°

Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]

80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]

[tex]m(\widehat{WXZ})[/tex] = 160°

I'm confused about this question

Answers

Answer:

the answer is 3

Step-by-step explanation:

WILL MARK BRAINLIEST!! PLEASE HELP!!

Mr Wilkinson invests £3000 at a compound interest rate of 2.2% per annum.
He wants his investment to earn more than £800 interest.
Work out the least time, in years, that it will take

Answers

Answer: 12.1 years

Step-by-step explanation:

youd find 2.2% of 3000 which is 66 and then divide 800 by 66 to see how many years it would take to make 800 interest and you get 12.1 years. 90% sure on that answer btw

Express the number 3.785 x 10^-6 in decimal form. Answer:​

Answers

3.785 x 10^-6
0.000003785

Answer:
0.000003785

how do you wright 90460000 in scientific notation?? please help, i need step by step explanation please

Answers

Answer:

9.046 * 10^7

Step-by-step explanation:

90460000

We need one non-zero digit to the left of the decimal

9.0460000

We moved the decimal 7 places to the left so the exponent is 7

9.046 * 10^7

Answer:

9.046 × 10^7

Step-by-step explanation:

Move the decimal 7 times to the left. You come up with 9.046

Hope this helps :)

Can i have some help please

Answers

Answer:

C)   [tex] -1\frac{5}{8}x + 3 [/tex]

Step-by-step explanation:

[tex] \frac{1}{2}(\frac{3}{4}x + 10) - 2(x + 1) = [/tex]

[tex] = \frac{3}{8}x + 5 - 2x -2 [/tex]

[tex] = \frac{3}{8}x + 5 - \frac{16}{8}x - 2 [/tex]

[tex] = -\frac{13}{8}x + 3 [/tex]

[tex] = -1\frac{5}{8}x + 3 [/tex]

Answer: C)   [tex] -1\frac{5}{8}x + 3 [/tex]

which describes a number that cannot be irrational?

Answers

Answer:

A number that can be written as the ratio of two integers .

Step-by-step explanation:

Irrational numbers are numbers those numbers that have infinite non-periodic decimals, that are reproduced in an unlimited way without an end point, without any part of the sequence being repeated. The set of irrational numbers, added to the rational numbers, configures the category of real numbers.

Irrational numbers include, for example, the famous number Phi (π), whose approximate value is 3.14 ..., extending its decimals indefinitely. These numbers are most often used in mathematical analysis.

Answer:

a number that can be written as the ration of two integers

Step-by-step explanation:

i’m doing the i-ready

1 23/24 as an improper fraction

Answers

Answer:

47/24

Step-by-step explanation:

24x1 = 24

24+23 = 47

47/24

Answer:

47/24

Step-by-step explanation:

just add 24 to the 23 and you'll get your answer.

(GIVING BRAINLIEST!!!)

Solve one eighth divided by two equals blank by rewriting it as the multiplication equation one eighth times one half equals blank.

A) 16
B) 1/16
C) 1/10
D) 2/16

Answers

Answer:

B) [tex]\displaystyle \frac{1}{16}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{16} = \frac{\frac{1}{8}}{2} \\ \\ OR \\ \\ \frac{1}{8} \div 2 = \frac{1}{8} \times \frac{1}{2} = \frac{1}{16}[/tex]

I am joyous to assist you at any time.

32)
Solve for x:
5(x + 1) - 8 = 5x(2 - 4)
A)
-5
B)
5
D)

Answers

Answer:

x should equal three

Step-by-step explanation:

5(x + 1) - 8 = 5x(2 - 4)

5x+1-8=5x-4

5x-7=5x-4

+7 +7

5x= 5x +3

÷ 5 ÷5

×=3

5(x + 1) - 8 = 5x(2-4)
5x + 5 - 8 = 10x - 20x
5x - 3 = -10x
= 5x - 5x - 3 = -10x - 5x
= -3 = -15x
= -3/-15 = -15x/-15
= 0.2 = X
So, in conclusion, X is equal to 0.2

1/2w = 10

Answer:
W=?

Answer ? Mark pls

Answers

Answer:

5

Step-by-step explanation:

Answer:

1/2w = 10 (you have to divide both sides by 1/2 to isolate w)

w= 5 (your answer)

I hope this helped :)

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

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

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

Need answer fast


The average adult has 1.2 to 1.5 gallons of blood in their body. How much blood does the average adult have in liters?

Answers

Answer:

5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters

5.678 litters and 1.5 in gallons

PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.

Answers

Answer:

y = 2x-4

all the equations are the same as the slope-intercept form is the same for all the equations

Step-by-step explanation:

slope-intercept form:

[tex]y = mx + b[/tex]

2x-3 = y+1

i) move y to the left-hand side and change its sign

-y+2x-3 = 1

ii) move 2x-3 to the right-hand side and change its sign

-y = 1-2x+3

iii) add the numbers

-y = (1+3)-2x

-y = 4-2x

iv) change the signs on both sides of the equation

y = -4+2x

v) use the commutative property to reorder the terms

( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )

y = 2x-4

pls hellppp
ABCD~EFGH find X

Answers

Answer: x = 3.6 Thats the answer.

ava scored a 74% a 75% and an 80% on her first three math quizzes. What would she need to scorr on her 4th quiz to have an average of 80 percent ​

Answers

Answer:90

Step-by-step explanation:

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