Write an equation for the line that passes through (1, 4) and (0, 8)
2 answers:
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Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ± ) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
Answer:
The correct answer is 61.08 foot.
Step-by-step explanation:
Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.
Angle of elevation is 70°.
We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.
Let the height be x foot.
Thus sin 70° =
⇒ x = sin 70° × 65
⇒ x = 61.08
Thus the height of the kite above Mr. Black head is 61.08 foot.