a manufacturing facility averages 20 accidents every 5 years how many accidents on average can one expect this facility to have
1 answer:
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Answer:
y = 3x + 11
Step-by-step explanation:
Calculate the slope of AB using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 5, 2) and (x₂, y₂ ) = B(7, - 2)
m = =
= -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ), thus
y = 3x + c ← partial equation of perpendicular line
To find c substitute C(- 2, 5) into the partial equation
5 = - 6 + c ⇒ c = 5 + 6 = 11
y = 3x + 11 ← equation of perpendicular line
We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:
b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15
Using the values, we get:
So, the correct answer to this question are option B and D
The quadratic formula is:
b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15
Using the values, we get:
So, the correct answer to this question are option B and D