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Lorico [155]
3 years ago
13

A line has a slope of - 3/5. Which ordered pairs could be points on a parallel line? Check all that apply.

Mathematics
2 answers:
dlinn [17]3 years ago
7 0

The correct answer is D ) (-2, 1) and (3, -2)

In order to find this, we must find the full value of the equation using one of the points and the slope. This will allow us to find the y-intercept. We'll use the (-2, 1) point to start.

y = mx + b

1 = -3/5(-2) + b

1 = 6/5 + b

-1/5 = b

This y-intercept gives us the overall equation of y = -3/5x - 1/5. Now we can try the other point in the equation to see if it works as well.

y = -3/5x - 1/5

-2 = -3/5(3) - 1/5

-2 = -9/5 - 1/5

-2 = -10/5

-2 = -2 (TRUE)

Since this works in the equation, we know that D is the correct answer.

Darya [45]3 years ago
3 0

Answer:

D should be the correct answer

Step-by-step explanation:


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Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
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<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

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