Answer:
The answer to your question is A) they are similar because of AA criterion
Step-by-step explanation:
- ∠ QYP is ≅ to ∠ DNP given
- ∠ QPN is ≅ to ∠ DPN vertical angles
- ∠ YQP is ≅ to ∠ NDP if two angles are congruent third angle
is also congruent.
Conclusion
ΔYPQ is similar to ΔNPD because of AA similarity.
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
<span>hope this helps!</span>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em>
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>