Step-by-step explanation:
Since x² + kx + (k + 3) is tangent to the x-axis, the quadratic function has a repeated root.
The discriminant is zero, so b² - 4ac = 0.
=> k² - 4(1)(k + 3) = 0
=> k² - 4k - 12 = 0
=> (k - 6)(k + 2) = 0
Hence k = 6 or k = -2.
8000 because u add an extra 0 if u multiple with a number with a zero or no
The value of each winning ticket is an arithmetic series in which T (n) = -5 + 15n or $5 (3n-1). The first winner is 5 (3x1 - 1) = $10. The second winner is 5 (3x2 - 1) = $25. The tenth ticket wins $5 (3x10 - 1) = $5 (29) = $145.
Answer:
m∠1 = 43°27'
m∠2 = 136°73'
m∠4 = 136°73'
Step-by-step explanation:
∠1 = ∠3 because of Vertical Angles Theorem
180 - ∠1 = ∠2 because of Supplementary angles
∠2 = ∠4 because of Vertical Angles Theorem