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:
49.12 square inches
Step-by-step explanation:
Area of a circle = Pi x r^2
= 3.14 x 4^2
= 3.14 x 16
= 50.24
Half the circle = 25.12 squared inches
Area of a triangle = base x height /2
= 6 x 8 /2
= 24
25.12 + 24 = 49.12 square inches
Answer:
y = 1/2x+8.5
Step-by-step explanation:
From (-11,3) to (-7,5) you get an average of 4 units to the right and 2 units up, divide that and you get 2 units right and 1 unit up in which the middle is (-9, 4). Add that until you get to (1, 9), go back one unit to get (0, 8.5), the slope is 1/2x because it is going 1 unit up and 2 units right.
21,600 minutes because 1 hour equals 60 mins. while half in an hour is 30 mins. and 60 + 30 = 90 so you multiply 240 by 90 getting 21,600