What is the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1?

Answers

Answer 1

Answer:

y= 2x -8

Step-by-step explanation:

To find  the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1, we will follow the steps below;

since the line is parallel to y=2x + 1, then the will have the same slope. That is; m₁ = m₂

comparing  y = 2x + 1 to y = mx + c

m= 2

we will substitute m= 2 x= 5  and y = 2  into y = mx + c and then solve for c

y = mx + c

2 = 2(5) + c

2 = 10 + c

subtract 10 from both-side of the equation

2-10 = 10 -10 + c

-8 = c

c=-8

To find our equation, we will substitute m = 2  and c=-8 into y=mx + c

y = 2x - 8

Therefore, the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1      is    y= 2x -8


Related Questions

What did Mozzarella say to cheddar? It’s part of a math paper it’s a puzzle please help if you know the joke

Answers

Answer:

get out of my way mozzarella is the best

Answer:

I have a more cheesier smile than you!

Step-by-step explanation:

Um... Well that's the version I thought of but it might be different on your worksheet.

Question 1(Multiple Choice Worth 4 points)
(05.08A)The figure below shows three quadrilaterals on a coordinate grid
3
113
0
Which of the following statements is true about the three quadrilaterals?
M and O are similar and congruent.
O and N are similar and congruent
M and N are similar but not congruent.
M and O are similar but not congruent,

Answers

Answer:

The actual answer is D

Step-by-step explanation:

I took the test and got a 100 :)

Answer: The answer is (D) :D

You bought carpet for a room that measures 18 feet by 14 feet Carpet costs $4.00 per square yard. How much did you pay?

Answers

Answer:

$112

Step-by-step explanation:

18 × 14 = 252

252 ft = 84 yrds

84 yrds = 28 sq yrds

4 × 28 = 112

Step-by-step explanation:

The area of the carpet is 18 * 14 = 252 sq. ft. In one sq. yard there are 3 * 3 = 9 square feet so 252 / 9 = 28 sq. yards. That means you pay 28 * 4 = $112.

If 35gm of pure drug are contained in 150ml, how many grams are contained in 75ml?

Answers

this method can be very useful, so please try to remember it

math question is attached below
and please provide the right answer and show your work.

Answers

14 units, do 3.14•9 then divide by 2

Answer:

[tex]V=37.68 \text{ units}^3[/tex]

Step-by-step explanation:

[tex]$V=\frac{\pi r^2 h}{3} $[/tex]

[tex]$V=\frac{3.14 \cdot 2^2 \cdot 9}{3} $[/tex]

[tex]$V=\frac{3.14 \cdot 36}{3} $[/tex]

[tex]$V=3.14 \cdot 12 $[/tex]

[tex]V=37.68 \text{ units}^3[/tex]

A. 167 sq. in
B. 248 sq. in
C. 340 sq. in
D. 375 sq. in ​

Answers

Answer:

find the area of all the shapes

Base x height / 2 = area of triangle

12x10=120/2=60

there are 4 triangles so 60 x 4 = 240 square inches

length x width = area

10 x 10 = 100

240+100=340

C. is the answer

Hope this helps

Step-by-step explanation:

Determine the root of the equation
f(x) = e2x- x-6 closet to the point 0.95
Leave
your answer to five decimal places

Answers

Answer:

0.97087

Step-by-step explanation:

Given the function:

[tex]f(x) = e^{2x} - x - 6[/tex]

Its first derivative is:

[tex]f'(x) = 2e^{2x} - 1[/tex]

Using Newton's method:

[tex]x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}[/tex]

and starting with the point:

[tex]x_1 = 0.95[/tex]

we get:

[tex]f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410[/tex]

[tex]f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178[/tex]

[tex]x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134[/tex]

[tex]f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608[/tex]

[tex]f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485[/tex]

[tex]x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087[/tex]

[tex]f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}[/tex]

A regular heptagon has an apothem of approximately 6.7 cm and a perimeter of approximately 45.5 cm.
Find the area of the heptagon.

Answers

Answer:

304.85 cm²

Step-by-step explanation:

The area (A) of a polygon is calculated as

A = pa ( p is the perimeter and a the apothem ) , thus

A = 45.5 × 6.7 = 304.85 cm²

The letters of the word S U M M E R were placed in a bag. What is the probability of choosing an R?
3:6
5/6
33.3%
0.16

I'm asking it again cause I got an answer that had nothing in it!

Answers

Answer:

The answer is 3:6 for above probability

If 1/5^-(2x-1)=3125 find x

Answers

Answer:

x =-2

Step-by-step explanation:

1/5^(2x - 1) =3125

5^-2x +1 =5^5

1-2x =5

-2x =5-1

-2x =4

X =4/-2

x =-2

Answer:

1/5^-(2x-1) = 3125

Write them in positive exponent form

We get

5^(2x-1) = 3125

5^(2x -1) = 5^5

2x - 1 = 5

2x = 5+1

2x = 6

x = 3

Hope this helps.

The area of a square lawn is 169 yd2. What is the length of each side of the lawn?

Answers

The length of each side of the lawn is 13 yards.

look at the attached picture

Hope it will help you

Good luck on your assignment...

Answer:

[tex]13 \: \: yd[/tex]

Step-by-step explanation:

[tex]area \: \: \: of \: \: a \: \: square \\ 169= l \times b \\ 169 = x \times x \\ 169 = {x}^{2} \\ [/tex]

So,

[tex] {x}^{2} = 169 \\ x = \sqrt{169} \\ x = 13 \: \: yd[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is equivalent to 2 1/4

Answers

Answer:

9/4

Step-by-step explanation:

Answer:

9/4 is the mixed fraction version.

Step-by-step explanation:

SO it would aslo be equivalnet

Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate​

Answers

Answer:

€800 = $1200

New exchange rate =

750/1200 = 1.6

Please help me I need this answer very bad (Picture Attached)​

Answers

Answer:

median                                              2nd was the answer

Step-by-step explanation:

2. (08.01) Two lines, R and M, are represented by the following equations: Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations? (4 points) It is (18, 9). It is (9, 18). There are infinitely many solutions. There is no solution.

WILL GIVE BRAINLIEST

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Given the 2 equations

2x + 2y = 18 → (1)

x + y = 9 → (2)

Equation (1) is twice (2)

Thus the equations are equal and will have infinite solutions

A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3, and GREEN cards numbered 1,2,3,4,5,6. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15

Step-by-step explanation:

15 options and 8 odd numbers

Answer: 9/14

Step-by-step explanation:

There are 3 blue cards, 3 odd numbered red cards, and 3 odd numbered green cards. 3 + 3 + 3 = 9

Red - R1, R2, R3, R4, R5

Blue - B1, B2, B3

Green - G1, G2, G3, G4, G5, G6

= A total of 14 cards

Answer = 9/14

(This answer is verified and was the correct answer in the program)

A house is purchased at a selling price of $285,000. The bank requires a 15% down payment. The current mortgage rate is 3.5%. Determine the amount to be financed.

Answers

Answer:

[tex]\large \boxed{\$242250}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcr}\text{Selling price} & = & \$285000 \\-\text{Down payment} & = &-0.15 \times \$285000 =\qquad -42750\\\text{To be financed}& = & \mathbf{\$242250}\\\end{array}\\\text{The amount to be financed is $\large \boxed{\mathbf{\$242250}}$}[/tex]

HURRY, I'M BEING TIMED ON STUDY ISLAND! On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 3 p.m., they had sold 110 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?

Answers

Answer:

I say the inequality with the greater than or equal

Step-by-step explanation:

They want to reach there goal so it’s more or equal to

What is the interquartile range of this data?


6

7

8

9
Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five-number summary from left to right 18, 25, 28, 33, and 42

Answer asap who every answer first I will give brainiest. and it must be a real answer.

Answers

Answer:

8

Step-by-step explanation:

I just took the test!

Solve this equation. Explain your reasoning.
1/2×+3/4=9​

Answers

Answer:

33/2

Step-by-step explanation:

Multiply both sides by 4 to get rid of fractions

2x + 3 = 36

Subtract 3 from both sides

2x = 33

Divide by 2

x=33/2

plz help me with these 2 problems ill mark u brainliest

Answers

Answer:

OK, here you go

Step-by-step explanation:

These are the nets  

a metal pole was placed in the ground and stands 30 feet high. two strands of lights were strung down from the top of the pole, forming a 46 degree angle to the ground. which theorem would be used to prove that the two strands of lights are equal in length?

SSS
AAS
ASA
SAS​

Answers

Answer:

AAS

Step-by-step explanation:

angle 46 degree rt.angle made by pole to the ground common side formed by the pole

Hope this helps!

The vertex form of a quadratic function is f(x) = a(x - h)2 + k. What is the vertex of each function? Match the function rule with the coordinates of its vertex.

Answers

Answer:

For  [tex]f(x)=6(x-5)^2-9[/tex]   the vertex is: (5, -9)

For  [tex]f(x)=9(x+5)^2-6[/tex]  the vertex is: (-5, -6)

For  [tex]f(x)=5(x-6)^2+9[/tex]  the vertex is: (6, 9)

For  [tex]f(x)=6(x+9)^2-5[/tex]  the vertex is: (-9, -5)

For  [tex]f(x)=9(x-5)^2+6[/tex]  the vertex is: (5, 6)

Step-by-step explanation:

Let's identify the vertex pair [tex](x_v,y_v)[/tex] from each equation:

A)  [tex]f(x)=6(x-5)^2-9[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=-9[/tex] , that is: (5, -9)

B)  [tex]f(x)=9(x+5)^2-6[/tex]  corresponds to [tex]x_v=-5\,\,\,and\,\,\,y_v=-6[/tex] , that is: (-5, -6)

C)  [tex]f(x)=5(x-6)^2+9[/tex]  corresponds to [tex]x_v=6\,\,\,and\,\,\,y_v=9[/tex] , that is: (6, 9)

D)  [tex]f(x)=6(x+9)^2-5[/tex]  corresponds to [tex]x_v=-9\,\,\,and\,\,\,y_v=-5[/tex] , that is: (-9, -5)

E)  [tex]f(x)=9(x-5)^2+6[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=6[/tex] , that is: (5, 6)

The answer is (vertex (5,-9) and using Tex

A company is designing a new cylindrical water bottle. The volume of the bottle will be 149 cmcubed. The height of the water bottle is 8.7 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answers

Answer:

2.33

Step-by-step explanation:

If you put the numbers into the radius formula you should end up with this number hope this helps:)

Wich is the result of 23*1/5?

Answers

Answer:

The answer is [tex]\frac{23}{5}[/tex] or [tex]4.6[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex]23 \times \frac{1}{5}[/tex]

-Multiply [tex]23[/tex] and [tex]\frac{1}{5}[/tex] to get

[tex]23 \times \frac{1}{5} = \frac{23}{5} = 4.6[/tex]

So, now you have found the answer.

Answer:

23/5 as an improper fraction or  4 3/5 as a mixed number

or 4.6 as a decimal or 460% as a percent

Step-by-step explanation:

What I did: 23/1 * 1/5

For this, you just multiply numerators and denominators, getting 23/5 as your answer.

Then I simplified that fraction to get 4 and 3/5 as a mixed number. There's a number of ways you can do this, but I just knew 23 goes into 5, 4 times and added the remaining into the fraction.

For the decimal I knew 4 is just 4 as a whole number and i calculated 3/5 as .6 or 60 percent.

For the percent I just removed the decimal, or in other words, shifted the decimal 2 times to the right.

Which expression is equivalent to

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Eveline made a scale drawing of a patio she is planning to build. NEED NOW WILL MARK BRAINLIEST AND WILL BE SO HAPPY AND WILL CURE MY DEPRESSION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1 centimeter = 2.5 meters. Triangle A B C. Side A is 12 centimeters, side B is 5 centimeters, and side C is 13 centimeters. Which proportion could Eveline use to find the length of side A? StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction

Answers

Answer:

I believe the answer is B.

I couldn't read the problem very well, so please tell me if I'm wrong!

I hope I helped and if I was correct, please mark!

Explanation:

Answer:

B

StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction

1/2.5 cm/m= 12/x cm/m

Step-by-step explanation:

Please mark brainliest!

Uptown Dance is a dance studio that chargers clients for dance lessons. On a Saturday afternoon, 38 people came for a dance class. Uptown Dance made $1,330 that afternoon. How much do they charge per person?

Answers

Answer:

They charge $35 per person.

Step-by-step explanation:

If they made $1,330 and 38 people came that afternoon then

$1,330 divided by 38

= $35

Look at the picture below. Urgent help please!!!!

Answers

X = about 11.5

Look at the image and I’ll be glad to explain more.

Answer:

x≅11.49 or x=2√33

Step-by-step explanation:

8^2+x^2=14^2

64+x^2=196

(subtract 64 from both sides)

x^2=132

(square root both sides)

x≅11.49

In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°

Answers

Answer:

99 degrees

Step-by-step explanation:

measure angle RST= measure angle RSU+ measure angle UST

measure angle RST=81+18

measure angle RST=99 degrees

The measure angle RST is 99 degrees.

To find measure angle RST.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

SU is angle bisector of <RST. So it can divide into 2 parts.

Measure angle RST= measure angle RSU+ measure angle UST

Measure angle RST=81+18

Measure angle RST=99 degrees

So, the measure angle RST is 99 degrees.

Learn more about angle here:

https://brainly.com/question/16833387

#SPJ2

Other Questions
simplify (3a-2b)-2(3a-2b)(a+2b)+(a+2) Which is the best way to write sentences 11 and 12?(11) The swimmers think they are a pain to put on. (12)The swimmers do like how the suits help them, though.A. Although the swimmers think the suits are a pain to put on, they like how the suits help them.B. The swimmers think that the suits are a pain to put on and they do like how they help them, though.C. Leave as is.D. The swimmers do like how the suits help them, though, and the swimmers think they are a pain to put on. Which of the following sentences best translates I write to them PLS HELPSimplify the function f(x) =3x(81)4Then determine the key aspects of the function.The initial value isThe simplified base isThe domain isThe range is An engineering school reports that 52% of its students are male (M), 33% of its students are between the ages of 18 and 20 (A), and that 27% are both male and between the ages of 18 and 20. What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20? Read the excerpt from Robert Yatess notes from the Constitutional Convention on June 11, 1787. Mr. Wilson was of opinion, and therefore moved, that the mode of representation of each of the States ought to be from the number of its free inhabitants, and of every other description three fifths to one free inhabitant. What was James Wilsons most notable contribution to the drafting of the Constitution? Simplify: 19w5+ (-3075)Enter the original expression if it cannot besimplified.Enter the correct answer.ODADONE Which role of the presidency does this quote illustrate?chief legislatorcommander in chiefchief party leaderleading diplomat Whats the correct answer for this? Which of the following provides the best summary of the process of naturalselection?A. Populations become better adapted to their environment.B. Individuals pass on their best traits to their offspring.O C. Population sizes increase with every generation.D. Individuals always change in response to their environment. In a given year, 94 cities in the world had populations of 1 million or more. Fifty years later, 530 cities had populations of 1 million or more. What was the percent increase? Please help me!!!!!! k (t) = 10t - 19 k(-7) = A manufacturer produces both a deluxe and a standard model of an automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow. Model Price ($) Model Price ($) Retail Outlet Deluxe Standard Retail Outlet Deluxe Standard 1 39 27 5 40 30 2 39 29 6 39 35 3 46 35 7 35 29 4 38 31 The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a .05 level of significance and test that the mean difference between the prices of the two models is $10. a.Calculate the value of the test statistic (to 2 decimals).b.What is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)? Why do you think the patriots won the American revolution?need done by 11:20! thanks! Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on sale at $12 last week. What was the percentage increase in the price of the hat this week?*please help:)-must haves:).right answer.step-by-step.makes sense.^I will mark someone the brainiest if more than one person answers this :) Two small plastic spheres each have a mass of 2.0 g and a charge of 50.0 nC. They are placed 2.0 cm apart (center to center). What is the magnitude of the electric force on each sphere? By what factor is the electric force on a sphere larger than its weight? Would the world be a better place or a worse place without the internet? Please explain in CER. Thank youuu Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!! A bag of trail mix shrugged 1.625 pounds round 1.625 to the nearest tenth.use the number line for help