y = -2x-3
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope , then a line perpendicular to this has slope . That means the slope of our perpendicular line is
Answer: 37.5
Step-by-step explanation: just multiply! hope this helps!
Answer:
Radius = 7
Step-by-step explanation:
Since BA is tangent to circle O, it creates a 90° angle with the radius
Therefore, you can use Pythagorean theorem to solve this problem
a² + b² = c²
Let's say a is the radius
b is 5
c is 8.6
a² + 5² = 8.6²
a² + 25 = 73.96
Subtract 25 from both sides
a² = 48.96
Root both sides
a ≈ 6.997142274
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer:
Required Probability = 0.605
Step-by-step explanation:
Let Probability of people actually having predisposition, P(PD) = 0.03
Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97
Let PR = event that result are positive
Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99
Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02
So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)
Using Bayes' Theorem to calculate above probability;
P(PD/PR) = 
= 
= 
= 0.605 .
