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

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

Answers

Answer:

2x - 5y = 0

Step-by-step explanation:

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]

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

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

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. :)

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

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

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)

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. :)

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:

what is the answer to
This?

Answers

Answer:

y=23

Step-by-step explanation:

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

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]

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

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...

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:

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40

Step-by-step explanation:

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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

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Divide both sides by 3

                   x = 54/3

x = 18

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

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Answers

SA= 246
if this is right please mark as brainliest

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!

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

pls help me ! (Links=report)

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Answer:

WHeres the questionnn???????

Step-by-step explanation:

Yea we need the question. Loll

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

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

can y’all help i’ll mark as brainlyest

Answers

Answer: 64

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hiii please help i’ll give brainliest:)

Answers

Answer:

Homer

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Answer:

Homer

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

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