Answer:
1. 3 packs of daffodils and 4 packs of tulips
2. then you would have 24 of each
3. $2.29
4. $37.54
5. $34.61
6.$2.93 was saved
7. 3 tulips
8. 12 daffodils
9. 9 tulips
10. 12 daffodils and 15 tulips
theres 2 left. ill let someone else do it
Step-by-step explanation:
3. 4.50*4=18 5.75*3=17.25
18+17.25 -> 35.25*.065=2.29 rounded
4. 35.25+2.29=37.54
5. 35.25-2.75->32.50*.065=2.11 2.11+32.50=34.61
6. 37.54-34.61=2.93
7. 6:8 -> 3:4 ratio -> 3:4
8. 8+4=12
9. 6+3=9
10. 24-12=12 24-9=15
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent.
Given that
, we have
, so that

Take the derivative and find the critical points of
:

Take the second derivative and evaluate it at the critical point:

Since
is positive for all
, the critical point is a minimum.
At the critical point, we get the minimum value
.
Answer:
A, If you still need help