Answer:
5
Step-by-step explanation:
1 crystal can raise 12 zombies
x crystals can raise 60 zombies
This is a problem involving <em>ratio-and-proportion</em>.\
1/x = 12/60
Reduce the fraction to lowest terms 1/x = ⅕
Multiply each side by x 1 = x/5
Multiply each side by 5 x = 5
Lilliana needs five dark power crystals to raise 60 zombies.
Answer:
85 square inches
Step-by-step explanation:
The surface area is the area of all the sides and the bottom
The area of the bottom is
A = s^2 since it is a square
A = 5^2 = 25 in^2
The sides are triangles
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 5)(6)
A = 15 in^2
We have 4 sides
The area of the 4 sides
4*15 = 60 in^2
Add the area of the side to the bottom
25+60 = 85 in^2
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
Answer:
The area is 6.25 times greater.
Step-by-step explanation:
Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.
The area will increase to 2.5^2 = 6.25 times.