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Ann [662]
2 years ago
11

Please help ASAP

Mathematics
1 answer:
GaryK [48]2 years ago
6 0

Answer:

  • Any value of k

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

<u>Two real roots possible with non-negative discriminant:</u>

  • D ≥ 0

As D = b² - 4ac, we get the following inequality

  • k² - 4(3)(-8) ≥ 0
  • k² + 96 ≥ 0
  • k² ≥ - 96

This is true for any value of k

  • k ∈ (- ∞, + ∞)
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What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end s
Mrrafil [7]

Answer:

\stackrel{\large{\frown}}{ADC}    = 186^{\circ}

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of \stackrel{\large{\frown}}{ADC}

The\ sum\ of\ angles\ in\ a\ circle\ is 360^{\circ}.

So, we have:

\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB}  + \stackrel{\large{\frown}}{BPC}  = 360^{\circ}

Where:

\stackrel{\large{\frown}}{APB}  = 70^{\circ}

\stackrel{\large{\frown}}{BPC}  = 104^{\circ}

Substitute these values in the above equation.

\stackrel{\large{\frown}}{ADC} + 70^{\circ}   +104^{\circ}   = 360^{\circ}

\stackrel{\large{\frown}}{ADC} + 174^{\circ}   = 360^{\circ}

Collect Like Terms:

\stackrel{\large{\frown}}{ADC}    = 360^{\circ} - 174^{\circ}

\stackrel{\large{\frown}}{ADC}    = 186^{\circ}

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