Answer:
x + 2y = 10 - x= 10−2y
3x + 4y = 8 - x=8/3 - 4y/3
Step-by-step explanation:
Answer:
Part A) The height of the base is 15 cm
Part B) 
Step-by-step explanation:
Part A) What is the height of the base?
we know that
The volume of the triangular prism is equal to

where
B is the area of the triangular face
L is the length of the prism
we have

substitute the given values

solve for B

Find the height of the base
we know that
The area of triangle i equal to

solve for h

Part B) What is the approximate amount of cardboard used to make the candy box?
we know that
To find out the the approximate amount of cardboard used to make the candy box, determine the surface area of the triangular prism
The surface area is equal to

where
B is the area of the triangular base
P is the perimeter of the triangular base
L is the length
we have

Find the perimeter of triangle P

substitute

Answer:
A)
Step-by-step explanation:
We know that the expression (x^2 - a^2) can be written as (x-a)(x+a). So an expression of this type: (x^2 - a^2) wouldn't be completely factored because it could be factorized even more.
So we know that 36 = 6^2, 49= 7^2 and 81 = 9^2. So if we choose any of these options (Option B, C and D) it wouldn't be completely factored.
The correct is the option A, given that if a=12, it wouldn't be a perfect square, so it would be completely factored.
V = 1/3 πh(R^2 +r^2 + R*r)
V = 1/3 (3.14)(14) (4.2^2 + 2.5^2 + 4.2 * 2.5)
V = 1/3 (3.14)(14) (17.64 + 6.25 + 10.5)
V = 1/3 (3.14)(14) (34.39)
V = 503.93
Because i'm using π = 3.14
So answer is B. 503.77
The answer would be the second one.