Divide 24 by 30 because 24 OUT OF 30 students are wearing a shirt. You will get the probability of %80 so subtract that out of %100 and you will get C, .20 or %20
The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
First, let's find the slope.
Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5
So far our equation looks like: y = 5x + b
Leta plug one of the points into our equation to find b.
-3 = 5(0) + b
Simplify.
-3 = b
The equation is: y = 5x - 3
Answer choice B is correct.
Answer:
The answer is A. AB and AC are congruent
Answer: C. Infinite
Explanation: (To explain this answer, I'll use 1 = 1) When you get 1 = 1 after doing an equation, this mean the answer is "all real numbers", which is the same term as "infinite" because it will always be true. Therefore, 0 = 0 will always be a true statement.