Answer:
-4/5
Step-by-step explanation:
Let α and β be the roots of the quadratic equation
ax²+bx+c = 0
Sum of roots α + β = -b/a
Product of roots αβ = c/a
Given the equation 16x²+4x+5 = 0
a = 16, b = 4, c = 5
Sum of roots α + β = -4/16 = -1/4
Product of roots αβ = 5/16
To calculate 1/α + 1/β, we will need to find the LCM first'
1/α + 1/β
= (β+α)/αβ
= sum of roots/product of roots
= (-1/4)/(5/16)
= -1/4×16/5
= -4/5
Equation of the line:
y = -4x + 1
Answer:
The answer to your question is Ф = 45°
Step-by-step explanation:
Data
A (1, 4)
B (-1, 2)
Process
1.- Find the slope of the line
formula
m =
Substitution
m =
Slope definition, is the steepness of a line and also is the tangent of the angle of the line.
tangent Ф = slope
tangent Ф = 1
Ф = tangent⁻¹ 1
Ф = 45°
Answer:
31/20 miles
Step-by-step explanation:
Given that:
Lowest point = 4/5 miles below sea level
Highest point = 6/8 miles above sea level
Difference between lowest and highest point :
Point below sea level are represented as negative ; Hence, lowest point = - 4/5 miles
Highest point = 6/8 miles
Difference between lowest and highest point :
6/8 miles - (-4/5) miles
(6/8 + 4/5) miles
= (30 + 32) = 62/40 miles = 31/20 miles
Answer:
5,-3
Step-by-step explanation: