Answer:
The midpoint is (2 , 1)
Step-by-step explanation:
To find the midpoint, we have to add the corresponding coordinates
[(-5 , 3) + (3 , -1)] / 2
we separate into the corresponding
(-5 + 3) / 2 =
-2 / 2 = -1
(3 - 1) / 2 =
2 / 2 = 1
The midpoint is (2 , 1)
Answer:Im not ure but it looks like the answer would be 0.8
Step-by-step explanation:
Answer:
n= 1.25
Step-by-step explanation:
multiply both sides by 3 giving you 1.25
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
To distribute, multiply the outside number by everything inside the parentheses.
6 x 5x = 30x
6 x -3 = -18
30x - 18
I hope this helps!
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 = 150
- The initial number of trees per acre = 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.
- Total yield = (number of trees per acre)(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre = = 200
the yield will decrease by : -
⇒total yield =
<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 =
this is a quadratic equation. this can be rewritten as ,
⇒
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>