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.

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

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Answer:

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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

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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

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

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

12.8/2 = 96 / 2 = 48

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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

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Step-by-step explanation:

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Answer:

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[tex] \\ [/tex]

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Step-by-step explanation:

ATQ

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Giving the following information:

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