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Airida [17]
4 years ago
6

Find the equation of the line

Mathematics
1 answer:
Gre4nikov [31]4 years ago
5 0

Answer:

y= - 1/6x -1

Step-by-step explanation:

Given:

  • y= 6x -2
  • and point (6, -2)

Perpendicular line has slope of reciprocal opposite to the given: - 1/6, so the equation:

  • y= -1/6x + b

Finding b using the intersected point:

  • -2= -1/6*6 +b
  • b= -2 +1= -1

So the equation is:

  • y= - 1/6x -1
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Paul baked 56 blueberry muffins. His brother Pete ate 7 muffins and his father William ate 5 muffins. Which expression can Paul
Natasha_Volkova [10]

Answer: 56-(7+5)

Step-by-step explanation:

You can find the amount of muffins left over by adding up the amount of muffins that were eaten and subtracting them from the original amount of blueberry muffins, so the answer is 56-(7+5).

(7+5 is in parentheses because if not, you would have 56-7+5 and get 54).

4 0
3 years ago
Prove 2/sqrt3cosx+sinx=sec(pi/6-x)
dlinn [17]

Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx  = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

          = 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

           = 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

           = 1/[√3/2cosx + 1/2sinx]

            = 1/(√3cosx + sinx]/2

            = 2/√3cosx + sinx

    R.H.S = L.H.S

Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

#SPJ9

5 0
1 year ago
What is the product of 3x(x + 4)<br> cOf
Lyrx [107]

Answer:

3x²+12x

Step-by-step explanation:

Expand the brackets

6 0
3 years ago
How do you find the quadratic equation for the roots 3 and 17?
Naily [24]
The roots are 3 and 17 so the distributed equation is

(x-3)(x-17)

distribute 

x²-3x-17x+51

x²-20x+51

I hope I've helped! 
6 0
3 years ago
Haley's age is 6 years less than half her mother's
Mrrafil [7]
Answer:
X-6= X-16
Hope this helps
4 0
4 years ago
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