Note: √a * √a = a
√a * √b = √ab
(√2 + √10)² = (√2 + √10)(√2 + √10)
= √2(√2 + √10) + √10(√2 + √10)
= √2*√2 + √2*√10 + √10*√2 + √10*√10
= 2 + √20 + √20 + 10
= (2 + 10) + (√20 + √20)
= 12 + 2√20
√20 = √(4 *5) = √4 * √5 = 2√5
= 12 + 2√20 = 12 + 2(2√5)
= 12 + 4√5
The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface, 
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface, 
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism, 
The volume of the given trapezoidal prism is 312 cubic units.
So first sivid 42 by 3 to get 14. Then multiply 14 by 4 to get 56. So the answer is C
Answer:
Both of them are correct.
The table and the graph given is correct.
Answer:
<h2>2(-14x-4y-1) /
-28x-8y-2</h2>
Step-by-step explanation:
2(3x + 12y - 5 - 17x - 16y +4)
the 2 outside the bracket means we need to multiply everything by 2
=
6x+24y-10-34x-32y+8
now put all the like-terms together
6x-34x+24y-32y+8-10
now add them together
=-28x-8y-2
now find the HCF
2
put 2 outside the bracket and then divide every number by 2
2(-14x-4y-1)
this is as simplified it can get