Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²
The first answer is C and the second answer is B. The final answer is B.
Based on the given above, collection of books of Nathan and Jason can be translated into the following equations:
6J + 1/3N = 134
1/3 J + N = 31; J = Jasons and N=Nathan
Solving two equations with two unknowns simultaneously,
Jason = 21 books and Nathan = 24 books
Answer:
(a) 156 cm²
Step-by-step explanation:
The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...
A = 2(LW +H(L +W))
A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²
The area of 12 such prisms will be ...
12 × (13 cm²) = 156 cm²
Victor needs 156 cm² of fabric to cover 12 blocks.
_____
<em>Additional comment</em>
This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².
Your answer would be 14.978
