A Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a Parallelogram are of same length and opposite angles are same.
Step-by-step explanation:
Properties of a Parallelogram
- Both Pairs of Opposite sides are Parallel
- Both Pairs of Opposite sides are Congruent
- Both Pairs of Opposite angles are Congruent
- Consecutive angles are supplementary
- Daigonals bisect each other.
Answer:
54
Step-by-step explanation:
What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.
Answer:
-6
Step-by-step explanation:
The notation a23 refers to the element in row 2, column 3. That element is -6.
Answer:
x=-1/3, y=-13/3. (-1/3, -13/3).
Step-by-step explanation:
y=x-4
4x-y=3
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4x-(x-4)=3
4x-x+4=3
3x+4=3
3x=3-4
3x=-1
x=-1/3
y=-1/3-4
y=-1/3-12/3=-13/3
The roots of the entire <em>polynomic</em> expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.
<h3>How to solve a product of two polynomials </h3>
A value of <em>x</em> is said to be a root of the polynomial if and only if <em>r(x) =</em> 0. Let be <em>r(x) = p(x) · q(x)</em>, then we need to find the roots both for <em>p(x)</em> and <em>q(x)</em> by factoring each polynomial, the factoring is based on algebraic properties:
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x² + 5 · x - 6)
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x + 3) · (x + 2)
r(x) = x · (x + 2)² · (x + 3) · (x + 6)
By direct inspection, we conclude that the roots of the entire <em>polynomic</em> expression are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.
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