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2 years ago

write the equation of the line that passes through the point and is perpendicular to the given line (3,6) ; 2x- 6y = 12

Mathematics

1 answer:

Lisa [10]2 years ago

3 0

Answer: See Below

Step-by-step explanation:

Line equation is y = ax +b. We need to solve for a and b

First we will solve for the slope (a)

Given that it is perpendicular to 2x - 6y = 12, we know that our slope a is the negative reciprocal of the slope of this line. Lets put this line in point-slope format.

2x - 6y = 12

-6y = -2x + 12

y = (1/3)x - 2

This line has a slope of 1/3 so our slope is the negative reciprocal of that. Our slope is -3

We can plug that slope into our line equation in place of a

y = -3x + b

Now we can plug in (3,6) to solve for b

y = -3x + b

6 = -3(3) + b

6 = -9 + b

15 = b

Therefore our line equation is:

y = -3x + 15

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If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the

denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

$\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)$

Now at head wind → $720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)$

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

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2 years ago

Twenty less than a number is more than twice the same number . Step by step to get the answer

likoan [24]

20 less than (-20) a number (n) is more than (>) twice the same number (2n)
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3 years ago

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balu736 [363]

Answer:

Always

Step-by-step explanation:

An acute angle is an angle that is less than 90. Supplementary angles add up to 180.

So 180-89= 91

An obtuse angle is any angle that is greater than 90.

Here's a link to a better explanation.

brainly.com/question/14180317

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2 years ago

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Transform the equation to isolate x: ax = bx 1. How is the value of x related to the difference of a and b?

cestrela7 [59]

Answer:

The value of x is reciprocal of the difference of a and b.

Step-by-step explanation:

We are given the equation, $ax=bx+1$

On simplifying, we get,

$ax=bx+1$

i.e. $ax-bx=1$

i.e. $(a-b)x=1$

i.e. $x=\frac{1}{a-b}$

So, we get,

The value of x is $\frac{1}{a-b}$ .

That is, the value of x is reciprocal of the difference of a and b.

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3 years ago

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denis-greek [22]

Box 1: None
Box 2: None
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Some columns are empty because there cannot be 0 or 1 aute angle in a shape!

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