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Tatiana [17]
3 years ago
15

Through (-1,-4) parallel to y=-x -3

Mathematics
1 answer:
masya89 [10]3 years ago
8 0
  y - y₁ = m(x - x₁)
y - (-4) = 1(x - (-1))
   y + 4 = 1(x + 1)
   y + 4 = 1(x) + 1(1)
   y + 4 = -x + 1
   <u>   - 4          - 4</u>
         y = -x - 3
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What is the value of the arithmetic series below?
RoseWind [281]

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - \frac{3}{2} k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

3 0
3 years ago
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6% service charge for 200 boxing ticket
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2 years ago
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
Is y2 = x a function thx
Charra [1.4K]

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

y2=x

Step-by-step explanation:

Hope that my answer helped. If my answer did help you then would you be kind to give me brainliest because I've been trying to rank up. If not then it's totally fine. Thanks :)

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Ronch [10]

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Step-by-step explanation:

6 0
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