Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Answer:
x=-4
Step-by-step explanation:
1. subtract 16 from both sides which leaves you left with
x=-4
Answer:
The area of the path would be 231.25 squared meters.
Step-by-step explanation:
Consider the path as 45m (the field's area), then add 2.5m to all of the sides. You'll get 47.5m on all sides. Then you do 47.5² to get 2256.25 squared meters. After that, you'll remove the area of the squared field. To do this, do 45m². By doing this, you'll get 2025 squared meters. Lastly, to finish up the question, do 2256.25 - 2025. This would get you 31.25 squared meters, the answer.
Step-by-step explanation:
m=-1/2
b(0,3)
mark (0,3)then go down 1 and 2 to the right as in positive side
Answer:
Answer; Mean = p = 0.75
Standard deviation =0.0274
Step-by-step explanation:
Mean = p = 0.75
Standard deviation = √ [ p ( 1 - p) / n ]
= √ [ 0.75 * ( 1 - 0.75) / 250]
= 0.0274
