The generic equation of a parabola is:
f (x) = ax ^ 2 + bx + c
To verify the equation of the parabola you need three points:
f (x) = ax ^ 2 + bx + c
We choose the points:
(x, y) = (- 1,7)
7 = a (-1) ^ 2 + b (-1) + c
7 = a - b + c
(x, y) = (0,5)
5 = a (0) ^ 2 + b (0) + c
5 = c
(x, y) = (- 2,5)
5 = a (-2) ^ 2 + b (-2) + c
5 = 4a - 2b + c
We solve:
c = 5
5 = 4a - 2b + 5
7 = a - b + 5
Rewriting
b = 2a
a-b = 2
Substituting:
a-2a = 2
a = -2
b = -4
The equation of the parabola is:
f (x) = - 2x ^ 2 -4x + 5
The last option represents all the colours of the shirts
37 feet and 5 inches is the tree. hope i helped
140,000 cm³ of plywood is needed to make the prop.
Explanation:
- The dimensions of the required box are 70cm × 40cm × 50cm.
- So we take the length equals 70cm, the width is equal to 40cm and the height is 50cm. The volume of this box is calculated by multiplying the given box's length, its width, and its height. The question does not provide which measurement is which but ultimately the volume will be equal no matter what the case.
- Volume of box = Length × Width × Height = 70cm × 40cm × 50cm = 140,000 cm³.
- So 140,000 cm³ of plywood is needed to make the prop in the play
Answer:
A) Volume of Prism = 48 ft cubed
B) Volume of Pyramid = 16 ft cubed
C) 1/3
This equation is true for all rectangular prisms and rectangular pyramids with the same length, same width, and same height.
Step-by-step explanation:
1) find the volume of the prism
2) volume of a prism = Length x Width x Height
3) 4 x 2 x 6 = 48
4) find the volume of the pyramid
5) volume of a pyramid = Length x Width x Height divided by 3
6) 4 x 2 x 6 = 48 divided by 3 = 16
Hope this helps :)
