[ Answer ]
[ Explanation ]
- Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c
-----------------------------------
-0.8b + 4.1c + 3.2b - 0.1c
-0.8b + 3.2b + 4.1c - 0.1c
- Add Similar Elements: -0.8b + 3.2b = 2.4b
2.4b + 4.1c - 0.1c
- Add Similar Elements: 4.1c - 0.1c = 4c
2.4b + 4c
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Your answer is:
(125 - 8x^3) / (25 + 10x + 4x^2) = - ((2x - 5) * (4x^2 + 10x + 25)) / (4x^2 + 10x + 25) = - (2x - 5) = - 2x + 5
The correct result would be - 2x + 5.
(11*5)+(4*10)=95
11+4=15
Both are equal to the constraints of the word problem and there for justified.
Answer:
∠3 = 60°
Step-by-step explanation:
Since g and h are parallel lines then
∠1 and ∠2 are same side interior angles and are supplementary, hence
4x + 36 +3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°
∠ 2 and ∠3 are alternate angles and congruent, hence
∠3 = 60°
You're trying to find constants
such that
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.
