Quadrilateral ABCD is an isosceles trapezoid. If || , AB = m + 6, CD = 3m + 2, BC = 3m, and AD = 7m – 16, solve for m.
2 answers:
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Answer:
Step-by-step explanation:
1. Subtract 10 from both sides. Then:
2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:
3. Add 22 to both sides. Then:
4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:
5. Subtract 30 from both sides. Then:
6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
7. Subtract 13 from both sides. Then:
8. Add 12 to both sides. Then:
Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.