Mathematics High School

- ( Intercepts form two points form )

If A ( a , b ) and B ( b , a ) lie in 6x-y =1 and 2x - 5y = 5 respectively , find the equation of AB. Show your workings too!

~Thanks in advance! :D ​

Answers

Answer 1

Answer:

Solution given:

A(a,b) lie in 6x-y =1

substituting value of A in equation ,we get

6a-b=1...................(1)

B(b,a) lie in 2x - 5y = 5

substituting value of B in equation ,we get

2b-5a=5

b=5(a+1)/2............(2)

substituting value of b in equation 1 ,we get

6a-5(a+1)/2=1

12a-5a-5=2

7a=2+5

a=[tex] \frac{7}{7} [/tex]=1

substituting value of a in equation 1 ,we get

6×1-b=1

6-1=b

b=5

so points are A(1,5) and B(5,1)

we have

equation of line having two points

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]

[tex](y - 5) = -1 (x - 1) [/tex]

y-5=1-x

x+y=6 is a required equation of line AB.

Related Questions

Find the value of x. PLZZZ HELP MEEE

Answers

9514 1404 393

Answer:

  128°

Step-by-step explanation:

End angles of a trapezoid are supplementary.

  x° = 180° -52° = 128°

  x = 128

Answer:

Solution :-

According to the question

The supplementary theorem

x + 52 = 180

x = 180 - 52

x = 128⁰

Value of x is 128⁰

[tex] \\ [/tex]

SLFJ SDFNEFS LF A SF IE FJS VS IKF DSFNIS DSF

Answers

Answer:

40

Step-by-step explanation:

I think but what do you mean???!!!!

What two whole ,postive numbers that have a one -digit answer ehen multiplies and a two digit answer when added

Answers

Answer:

The two positive whole number that have a one -digit answer ehen multiplies and a two digit answer when added are 9 and 1

Step-by-step explanation:

The two positive whole number that have a one -digit answer ehen multiplies and a two digit answer when added are 9 and 1

When 9 and 1 are added, we get 10 (two digit number)

When 9 and 1 are multiplied, we get 9 (one digit number)

The width of a rectangle room is 80 percent of its length. WHat is the area of the room?

Answers

Answer:

180 squared ft

Step-by-step explanation

80% = 80/100 = 40/50  =    4/5

L = 15

W= 4/5 of 15 = 12

Area = LxW

Area = 15x12 = 180 squared ft

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

SA= 246
if this is right please mark as brainliest

Write 2/8 in simplified form

Answers

Answer:

1/4

Step-by-step explanation:

because you basically divided by two on

Answer:

1/4 is the answer mark me brainliest

Part B at 10:00 a.m., lin's was 7 meters. Add this point to the graph

at 1:00 p.m., lin was at sea level. add this point to the graph.​

Answers

Answer:

add a graph so we can help you

Step-by-step explanation:

how many 1/2 cups to make 3/4 of a cup?

Answers

Fill a cup with the thing you want to measure. Pour or take out half of it into another cup(this is 1/2 cup,). Now from either of the cups take out half of the thing you are measuring(it is 1/4 cup) . Add this one fourth quantity to half of the quantity now the final quantity in the cup is 3/4( 1/2 +1/4).

We are required 1.5 half cups to form the required fraction of a cup.

What is a fraction?

The upper part of a fraction is numerator and the lower part is denominator.

How to find the fraction?

We are told to make 3/4 of a cup from1/2 of cup so let the number of times we need half of a cup be x

So

1/2 * x=3/4

x=3/2 which means 1.5

So we need 1.5 times the half cup to make 3/4 of a cup.

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years. How much will your $1,900 be worth in 3 years?

Answers

Answer:

FV= $2,139.71

Step-by-step explanation:

Giving the following information:

You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years.

First, we need to calculate the semiannual interest rate:

Semmi-annual interest rate= 0.04 / 2= 0.02

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

PV= $1,900

i= 0.02

n= 2*3= 6 semesters

FV= 1,900*(1.02^6)

FV= $2,139.71

can y’all help i’ll mark as brainlyest

Answers

Answer: 64

Step-by-step explanation: I think those are alternate interior angles so they should be congruent.

Which of the following are
undefined?
f(g(0))
f(g(-1))
f(g(1/6))
g(f(-1))
g(f(1/2))
g(f(1/6))

Answers

Take a picture of the question and then post it so I can help

Answer:

B, D, F

Step-by-step explanation:

Edgen2021

Plsss i need help boys and girls lol FRL :)

Answers

Answer:

The answer is D.

Step-by-step explanation:

Sci-Fi + Comedy = 60.

Other + Action = 59.

So, that makes it D.

Hope this helps. :)

pls help me ! (Links=report)

Answers

Answer:

WHeres the questionnn???????

Step-by-step explanation:

Yea we need the question. Loll

15 ≥ z + 26
help pls lolololololololololololololollololololololololololololo

Answers

Answer:

[tex]z\leq -11[/tex]

Step-by-step explanation:

[tex]15 \geq z + 26[/tex]

[tex]-11 \geq z[/tex]          Subtract 26 from both sides

[tex]z\leq -11[/tex]

In the diagram, AE = x + 5, ED = 12, BE = x, and EC = 4. Solve for x.
PLS HURRY TIMED

Answers

Answer:

there is no img given

Step-by-step explanation:

pls mark as brainliest

hiii please help i’ll give brainliest:)

Answers

Answer:

Homer

Homer wrote the Odyssey and The Iliad

Answer:

Homer

Step-by-step explanation:

The ratio x + y : x - y is equal to 2 : 1.
Write an equation for x in terms of y.

Answers

Answer:

x=3y

Step-by-step explanation:

ATQ

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

or, x+y=2x-2y (crossmultiply)

or, 0= 2x-x-2y-y

or, x- 3y=0

or, x=3y is required equation

Solve for x. please i need know

Answers

Answer:

x = 18

Step-by-step explanation:

Vertically opposite angles are equal.

x + x + x + 90 = 144

         3x + 90 = 144  

Subtract  90 from both sides

                 3x = 144 - 90

                 3x = 54

Divide both sides by 3

                   x = 54/3

x = 18

what is the answer to
This?

Answers

Answer:

y=23

Step-by-step explanation:

Arquimedes, Euclides e Ptolomeu têm, juntos, R$ 1 990,00. Arquimedes possui R$ 190,00 a mais do que Euclides e esse, dispõe de R$ 120,00 a mais do que Ptolomeu. Determine quantos reais cada um deles possui.

Answers

Responder:

Ptolomeu = 520

Euclides = 640

Arquimedes = 830

Explicação passo a passo:

Deixar :

Quantidade que Ptolomeu tem = x

Quantidade de Euclides = x + 120

Quantidade que Arquimedes tem = x + 120 + 190

Valor total que todos eles têm = $ 1990

Portanto,

x + x + 120 + x + 120 + 190 = 1990

3x + 430 = 1990

3x = 1990 - 430

3x = 1560

x = 520

Ptolomeu = 520

Euclides = 520 + 120 = 640

Arquimedes = 640 + 190 = 830

Find the value of x for the right triangle.




trigonometric ​

Answers

Here's the solution,

The given triangle is a right angled triangle,

So, by Using Trigonometry :

=》

[tex] \sin(30) = \dfrac{x}{13} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{x}{13} [/tex]

=》

[tex]x = \dfrac{13}{2} [/tex]

=》

[tex]x = 6.5[/tex]

hence, value of x = 6.5 units

The circumference of a circle measures 15.7 centimeters. What is the measure of its diameter?
a. 12 cm
c. 5 cm
b. 10 cm
d. 2.5 cm

Answers

Answer:

a

Step-by-step explanation:

a. 12 cm

there you go

Determine if the two expressions are equivalent and if so name the property that is being used.
52-(43-6) & (52-43) - 6​

Answers

Answer: i really dont know

Step-by-step explanation: but 46

Rewrite the following equation in standard form. y = 2/5x​

Answers

Answer:

2x - 5y = 0

Step-by-step explanation:

Find the Prime Factorization of 32, using the Factor Tree.

Answers

Answer:

32 = 2x2x2x2x2

Step-by-step explanation:

32 = 2 x 16  

16 = 2 x 8

8 = 2 x 4

4 = 2 x 2

Can someone help please ?

Answers

Answer:

Step-by-step explanation:

12.8/2 = 96 / 2 = 48

the answer is the first one

have a nice day!

What is the value of X?

Answers

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

The price of 7​-minute phone call is ​$.105 What is the price of 18 ​-minute phone​ call?
The price of 18​-minute phone call is ​$

Answers

Answer:

$.27

Step-by-step explanation:

.105/7*18

Which expression is equivalent to 4/9 x 2

Answers

Answer:

4 × 2/9

Im sorry if I'm wrong

Answer:

4 × 2/9

Step-by-step explanation:

both equal 8/9

Simplify the radical expression
[tex]\sqrt5+6\sqrt5[/tex]

Answers

Answer:

Step-by-step explanation:

These are "like terms," as both terms contain √5.  We add the coefficients together but leave the radical term √5 as is:

  √5

+ 6√5

-----------

 7√5

Answer:

√5 +6√5= 7√5

Decimal: 15.65247...

Other Questions
In balancing a chemical equation, which of the following are you allowed to do?A) change coeffecientsB) change superscriptsC) change subscriptsD) add new substances (Ill mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course. The only tool available to record the distance measures in feet. If the course must be at least 3 miles but no more than 3.2 miles in length, what is the smallest and the largest number of feet they must walk in order to fulfill the requirements?1 mile 5,280 feet.Smallest:Largest: he will be attending the meeting at this time on Thursday . wich tense is it? can someone plz help me. At a distance of 40 ft from the pad, a man observes a helicopter taking off from a heliport. If the helicopter lifts off vertically and is rising at a speed of 53 ft/sec when it is at an altitude of 129 ft, how fast is the distance between the helicopter and the man changing at that instant the area of the trangle is...... what is drug?why is drug abuse a social problem? The midpoint of AB isM(2,5). If the coordinates of A are (3,6), what are the coordinates of B? 2. Why do Tom and Nick stop in the Valley of Ashes on their way to the city? How doesNick feel about this particular situation? Explain your answer. A doorknob is a type of wheel and axle. In a doorknob, the door handle acts as the wheel. The handle is connected to a cylinder, called a spindle, which acts as the axle. When the handle turns, the spindle turns in the same direction. The spindle is located inside the handle and pulls the latch back and forth, allowing the door to open.In the doorknob shown above, when the handle is rotated a distance of 84 millimeters, the spindle is rotated a distance of 14 millimeters. What is the mechanical advantage of this doorknob? A. 504 B. 6 C. 84 D. 14 In cabbage butterflies, white wings (W) are dominant to yellow wings (w). A heterozygous butterfly mates with a butterfly that has yellow wings. Complete the Punnett square and then list the percentages of the expected genotypes for their offspring. Prevailing ____ carry warm moist air over landGroup of answer choicesmountainswindswavescloudsFlag question: Question 2Question 21 ptsThe temperate zone near the equator with warm climates all year round is called the _____ zone.Group of answer choicestropicalcontinentaltradepolarFlag question: Question 3Question 31 ptsA _____ is a small area with climate conditions that differ from those around themGroup of answer choicesmacroclimatemicroclimatepolar zoneclimateFlag question: Question 4Question 41 pts_____ climates occur inland and are often characterized by cold winters and warm or hot summers.Group of answer choicescontinentalhorsepolartropicalFlag question: Question 5Question 51 ptsThe presence of _____ in the path of prevailing winds can influence where precipitation falls.Group of answer choicesvalleyslakesmountainsoceansFlag question: Question 6Question 61 ptsEarth's surface is divided into 3 temperate zone based on _____Group of answer choicesaltitudegridslatitudelongitude pls help this is for biomed Write a math problem that includes multiplying decimals.Explain how you know where to place the decimal in the product. Someone who speaks fluent French and grammar, can you correct this text? :)daniel handler a ecrit les livres. c'est environ trois frres et souers, leurs parents sont morts dans incendi.violet est la plus agee et est tres bonne comme mecanicirnne. klaus est le deixieme plus ancient et il est tres intelligent et bon en logique. sunny est la plus jeune et un bebe mais elle a des dents tres pointues. ensemvlebles enfants echappent a un homme mechant. j'aime les livres parec qu'ils sont tres excitants.(If you cant, please dont answer) Read the rough-draft paragraph. Since popcorn is a whole grain, it is high in dietary fiber, which helps in the regulation and maintenance of the digestive system. To maximize the healthful benefits of eating popcorn, be sure to only munch on either air-popped popcorn or kernels that have been popped using little oil. In addition to providing dietary fiber, popcorn is also a source of antioxidants. This means that like fruits and vegetables, popcorn contains compounds that can reduce or prevent certain cancers. So, not only is popcorn a tasty treat, it is also a nutritional powerhouse. Which topic sentence should be added to this body paragraph PLEASE HELP !! Find the probability of a choosing a student that is taking a foreign language, given that the student is playing a sport using the Venn Diagram below. Someone pls help me out thanks What is the volume of a rectangular prism with length equal to 13,width equal to 6 and height equal to 4 please help me do it i cant get it