Answer:
A) J, l
B) line HK
C) point K
D) m or n
Step-by-step explanation:
The equation of the line which is perpendicular to 3x - y = 10 is y = -(1/3) x + c. Then the correct option is B.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The line that is perpendicular to 3x - y = 10.
The equation can be written as
y = 3x - 10
Then the slope of the line will be
m₁ = 3
Let m₂ be the slope of the second line.
The product of the slope of the perpendicular lines is a negative one.
m₁m₂ = -1
3m₂ = -1
m₂ = -1/3
Then the equation of the perpendicular line will be
y = - (1/3)x + c
3y = -x + c
x + 3y = c
where c is the constant.
Thus, the correct option is B.
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
Answer: a) H = h( 0.5 )^n
b) H = 1.125inches
Step-by-step explanation:
Let H = height of the ball
n = number of time the ball bounces
h = initial height.
The exponential function to model the height of the ball will be:
H = h( 1 - 0.5)^n
H = h( 0.5 )^n
It's minus because the height of the ball is decreasing.
h = 36 inches
n = 5
H = 36( 1 - 0.5 ) ^5
H = 36( 0.5 )^5
H = 36 × 0.03125
H = 1.125inches
You just have to multiply the numerators and the denominators.
The answer is 14 over 56. Then, you need to simplify the question.
So, since 56 is divisible by 14, divide the numerator and the denominator by 14.
Then you get your answer, which is one-fourth.
Hope that helped!