Question 2
Find the equation of the line parallel to y = x - 2 that passes through the point (-3,2).

Answers

Answer 1

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.


Related Questions

3. f(-4) - 3.9(-2) =

Answers

Answer:

Step-by-step explanation:

find the hight of the tree to the nearest hundredth of a meter

Answers

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

solve for q: plz help

Answers

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

Please help with this!

Answers

Answer:

pls help me tooo answer that

Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .

Answers

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)

Answers

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

the answer is K'(-2,-5) if it is rotated 90 clockwise, but if it's anti-clockwise it will be K'(5,2)

PLEASE HELP I NEED IT REALLY FAST!!!!

Answers

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

what are ascending number's​

Answers

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.

Please helpppppp 7th grade math

Answers

Answer:

A    1 cup

Step-by-step explanation:

Number of batches

24/6 = 4

Cups needed

1/4 * 4 = 1

Answer: A 1 cup. Hope this helps

Please give me the answer and show me how you solved it

Answers

Answer:

11/2 miles per hour

Step-by-step explanation:

that is the procedure above

A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?

Answers

Answer:

2 hours

Step-by-step explanation:

Y=25x+30

80=25x+30

50=25x

2=x

Find the segment of the line segment

Answers

Answer:

(1,3)

Hope this helps! :)

The midpoint is (1,3)
The slope is 2/8, divide that by 2, 1/4. so to find the midpoint, go to the left point, move one up, 4 right. Or from the right point, move one down, 4 left.

a. 135
b. 120
c. 144
d. 108

Answers

Answer:

a. 135 is the correct answer

Step-by-step explanation:

Want to find out what the total degrees is of the octagon.

Octagon = 1080

Divide 1080 by 8

135 degrees per angle

Answer:

Option A is correct

Step-by-step explanation:

Hint :

Sum of angles in Regular Octagon = 1080°.

Simplify :

[tex] {z}^{o} = \frac{1080}{8} [/tex]

[tex]∴z = 135[/tex]

Hope it is helpful....

[tex](5^{3})^{-3}[/tex] pls

Answers

[tex] \frac{1}{1953125} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]

Note:-

[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]

[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

damian already has 23 plants in the backyard, and he can also grown 2 plants with every seed packet he uses With 36 seed packets, how many total plants can Damian have in the backyard​

Answers

131 I think?


If he gets 2 plants per seed packet you should just have to multiply 36 x 3 (108) and then add 23 which is what he already has.

What is the inequality for this verbal description? The value of yis less than or equal to the sum of six times the value of x and three. IN O A. y56x+ 3 O B. ys 3x + 6 O c. yz 6x+ 3 O D. y: 3x + 6 SUBMIT​

Answers

Answer:

y =< 6x + 3

you copypasta looks weird, but I would go for option c if i read this correctly

The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. ​the surface area of the sphere

A. equal to
B. less than
C. greater than

Answers

I’m pretty sure the answer is A - equal to

{x+2y=10
{6y=-3x+30
Help please

Answers

Answer:

Step-by-step explanation:

x+2y=10

6y=-3x+30

~~~~~~~~~~~~~~~~

x =10 -2y

substitution

6y=-3x+30

6y=-3(10 -2y)+30

6y = -30 + 6y + 30

6y = 6y

everything disappears.... that means the lines are "the same line"

"co-incident" ... "infinite solutions"

Note" if you ended up with something like 3=0 then the lines are parallel

There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts​

Answers

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

What is the volume of the rectangular prism?

Answers

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

Evaluate 5(x-1)-2when x=3

Answers

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

5(x-1)-2
5(3-1)-2
5(2)-2
10-2
8

Ranking brainliest if correct :)) thanksss

Answers

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf

pls help math pls pls​

Answers

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Christine owns 9 hair bands and additional hair bands are 2 for a dollar. How much money does she need to spend on hair bands in order to own a total of 49 hair bands?

Answers

Answer: $20

Step-by-step explanation:

If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?

A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter

Answers

ANSWER: A) 7 meters by 4 meters
EXPLANATION:
We know that the area of the rectangular balcony is 28 square meters, so lets check if our dimensions match the area:

7 meters • 4 meters = 28 square meters (correct)

So lets check the perimeter: 2 (l + w)
2 ( 7 + 4 ) = 22 meters

HOPE THIS HELPS
-SpaceMarsh

Find the measure of KL

A. 10
B. 5
C. 7
D. 8

Answers

Answer:

[tex]ML=9,MN=8[/tex]

[tex]MK=ML+LK[/tex]

[tex]9+-3+x[/tex]

[tex]=9-3+x[/tex]

[tex]MK=6+x[/tex]

[tex]ME=MN+NE[/tex]

[tex]ME=8+x[/tex]

Now using Secant secant theorem:-

[tex]ML*MK=MN*ME[/tex]

[tex]9(6+x)=8(8+x)[/tex]

[tex]54+9x=64+8x[/tex]

Subtracting 8x and 54 on both sides:-

[tex]54+9x-8x-54=64+8x-8x-54[/tex]

[tex]x=10[/tex]

[tex]KL=-3+x[/tex]

[tex]KL=-3+10[/tex]

[tex]KL=7[/tex]

so, your answer is C) 7

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

hope it helps....

Answer:

C.) 7

Step-by-step explanation:

I got it correct on founders edtell

10^7 is how many times as large as 3.10^3

Answers

Answer:

333831

Step-by-step explanation:

Answer:

10^7 is 10,000,000

3 x 10^3 is 3000

Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000

& you’ll get 3333.3

Step-by-step explanation:

hey what's the answer
[tex] - 11a(3a + 2a)[/tex]

Answers

[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]

[tex]I \: hope \: it \: will \: help \: you[/tex]

Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?

Answers

Step-by-step explanation:

Mass = Density × Volume or m=pV

Density = 6

Volume = 13

6 × 13 = 78

The mass of the iron ball is 78.

Answer:  78 grams

===================================================

Work Shown:

d = density = 6 grams per cm^3

m = mass = unknown

v = volume = 13 cm^3

--------

d = m/v

dv = m

m = dv

m = 6*13

m = 78 grams

add 4312base5 3444base5 qunary number please add qunary​

Answers

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

Other Questions
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B Really? ........................................................................................... (Prague | May | go | we | in | to)7 A Look at the man on the motorbike! B Oh, no! ...........................................................................................? (crash | he | car | our | into)8 A There's someone at the door. Can you answer it for me? B At midnight? .................................................................................. (not | it | I | answer)9 A Natasha is having a welcome party on Friday night. Are you going? B Of course, I am. .............................................................................. (not | anything | I | do | Friday | on) How Hedy Lamarr Invented Early Wireless TechnologyUnhappy being pigeonholed due to her looks, the most beautiful woman in the world" set out to develop a secret communication system that would take down Nazi submarines. A lonely immigrant from Austria slips out of her stage clothes and kicks off her heels. Carefully removing her movie makeup, she's dissatisfied that she's been overlooked for more significant roles. Instead of throwing a pity party, however, she heads determinedly for her drafting table, a place where she has previously invented an improved traffic stoplight. This is where she'll prove to the world that she's more than a pretty face. This is the real-life story of Hedy Lamarr, Hollywood actress turned tech hero. An inventor whose contributions helped develop a system used in Bluetooth, GPS and Wi-Fi.She had a knack for designing problem-solving technologies. Transforming the drawing room in her house into an innovation studio with a drafting table and the necessary tools Lamarr invented an aid to help people with limited mobility get in and out of the bath. She also invented a fluorescent dog collar and a bouillon cube* that would dissolve to turn water into soda. Her best-known success was a passion project that still has applications today. The secret communication system" she developed with composer George Antheil, a neighbor and friend, was the precursor to today's top wireless technologies. Together, they developed a radio communication system based on the 88 piano keys. It was a success, and the duo received a patent for their work in 1942. Unfortunately, the U.S. Navy ignored their technological feat for another 20 years. Late, the system became the precursor to modern wireless technologies. Their work remained unrecognized until 1997, when the Electronic Frontier Foundation acknowledged Lamarr and Antheil. When Lamarr heard the EFF was giving her an award, her first words were, 'Well, it's about time.' Glossary: *bouillon cube- A cube of evaporated seasoned meat extract1-1: Based on the passage, which of these is most likely to be true about Hedy?(1 Point)A. Her favourite pastime was to design inventions.B. She never received recognition for her inventions.C. She had secretly worked for the American government.D. Her inventions were made only through her own efforts.2.The 'secret communication system', developed by Hedy and George was______________.(1 Point)A. a project Hedy was paid to doB. immediately put into use by the militaryC. outdated within twenty years of its discoveryD. a forerunner of today's communication systems3.Which of these is mentioned in the passage?(1 Point)A. how the 'secret communication system' worksB. whether the war effort was successful or notC. which movies Hedy has acted inD. where Hedy was originally from4.Well,it's about time. This line means that _________________(1 Point)A. it was too soon to receive the awardB. the award should have been given long agoC. the award had been given for her first inventionD. it was not the most important award in her lifetime5.One of the reasons why Hedy became an inventor was because ______________.(1 Point)A. she was not happy with her looksB. she wanted to contribute to the warC. she wanted to show that she had other talentsD. she was not passionate about her acting career6.Which of these could be a suitable title for the passage?Immersive Reader(1 Point)A. The Real War HeroineB. Hollywoods Star innovatorC. The Prettiest American ActressD. Scientist From the Music World The answer to this maths question Microbeads are tiny, smooth, plastic spheres found in common household products such as facial soap. These beads, measuring from 0.0004 to 1.24 mm, roughly the size of some fish eggs, are too small to be removed by water treatment systems. Thus, they end up in rivers, lakes, and other bodies of water. The accumulation of these microbeads is an environmental concern for aquatic biologists because microbeads(1) make the lakes and rivers cloudy and dirty, affecting their appearance(2) may stick to some household water pipes, preventing drainage problems(3) could be mistaken for food by some species, working their way up the food chain(4) could clog fishing nets, affecting the ability of fishermen to catch fish Why the earth is flat On January 1, 2012, Fei Corp. issued a 3-year, 5% coupon, $100,000 face value bond. The bond was priced at an effective interest rate of 8%, yielding proceeds of $92,137. This is the first and only bond that Fei has ever issued.Feis Statement of Cash Flows for fiscal year 2012 had the following line items: 2012 2011Net Income $11,500 $10,350Depreciation $25,478 $23,675Amortization of Bond Discount $2,418 $0What was Feis Interest Expense on the bond during fiscal year 2012?a. $2,418b. $7,371c. $7,418d. $8,000e. $5,000 write an equivalent logarithmic equation for e^x=24 The results of The Election of 1912 ended with: the passage of the prohibition amendment Harry Truman elected as President the election of Woodrow Wilson as President Franklin D. Roosevelt election as President what are the characteristics or properties that you can use to classify elements what Enlightenment ideals were in the French Revolution? the expanded form of 6,398 is Both adam smith and ayn rand would agree that PLEASE HELP QUICKLY!!! There is a tree standing in the desert; the sun is rising to the east. Which hygiene practice can help prevent spreading a cold?A washing your hands regularlyB cooking food thoroughly C taking a fever reducerD brushing and flossing your teeth Please help asap thanks Which of the following pairs of elements is most likely to form an ionic compound? magnesium and sodium nitrogen and sulfur oxygen and chlorine magnesium and chlorine carbon and fluorine Write the quadratic function in the form g(x) = a(x-h)^2 +kThen, give the vertex of its graph.g(x)= 2x^2+8x-11 Writing in the form specified: gx=Vertex: When the economy is in a recession, expansionary fiscal policy can be used to stimulate and encourage economic growth. Which of the following scenarios represent expansionary fiscal policies from both a supply and demand perspective at the same time? When choosing the answer, please look if it meets three description, expansionary, fiscal policies, and involving both the supply side and the demand side. (There could be more than one answer).A. The government lowers tax rates and undertakes a replacement of old bridges and roads.B.The government lowers tax rates and issues a partial refund of taxes that have already been paid.C. The government raises tax rates and reduces unemployment insurance payments.D. The Federal Reserve increases the money supply and lowers the interest rate while the government simultaneously reduces future taxes. Please helpSelect the correct answer from the drop-down menu.This graph represents the inequality x + 2 < 42x > 3x + 6 < 122x > 12if you dont know the answer please dont answer it The liquid and gaseous state of hydrogen are in thermal equilibrium at 20.3 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of the molecules (in m/s). What If? At what temperature (in K) would an atom of xenon in a canister of xenon gas have the same most probable speed as the hydrogen in thermal equilibrium at 20.3 K?