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2 years ago

3y-4x=20 a linear function

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

8 0

If you are trying to get y by itself I shown my work.

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

2 years ago

PLEASE ANSWER ITS THE LAST QUESTION!!

Vika [28.1K]

Answer:

The length of BC would be 12.2 mm.

Step-by-step explanation:

Given,

In triangle ABC,

∠BAC = 90°,

Thus by the Pythagoras theorem,

We have,

AB = 9.6 mm and CA = 7.6 mm,

By substituting the values,

Step-by-step explanation:

8 0

2 years ago

Anyone know answer thankss

Anvisha [2.4K]

.12 rounded up but .11888 not rounded

8 0

3 years ago

Pi = 3.14

mr Goodwill [35]

Area of circle= 3.14r^2
r= 4
A= 50.27

8 0

2 years ago

I will be forever in your debt, ( and a brainiest) if you help me

gogolik [260]

Answer:

Step-by-step explanation:

12P3 = 12! / (12-3)!

= 12*11*10

= 1320.

8C7 = 8!/7! *(8-7)!

= 8.

3 0

1 year ago