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4 years ago

PLEASE HELP MEEEEE

Mathematics

1 answer:

ElenaW [278]4 years ago

5 0

Answer:

t ≥ -12

Step-by-step explanation:

Divide the inequality by the coefficient of t. Because that value is negative, the sign gets reversed.

(-4t)/(-4) ≥ (48)/(-4)

t ≥ -12

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4 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

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Answer:

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form $a\cdot x^{2} + b\cdot x + c = 0$ , $\forall \,x \in\mathbb{R}$ . The procedure is presented below:

1) $a\cdot x^{2} + b\cdot x + c = 0$ (Given)

2) $a\cdot x^{2} + b \cdot x = -c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

3) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c$ (Compatibility with multiplication)

4) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

5) $(2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c$ (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

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3 years ago

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emmasim [6.3K]

<span>A = Area
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Trava [24]

Answer:

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Step-by-step explanation:

The points are shown in the attached graph.

<em>You can clearly see from the picture that it is a "Trapezoid".</em>

<em />

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<em />

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