Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
A set of numbers is said to be Pythagorean triple if the sum of the squares of the lesser numbers equal the square of the remaining number,
A. 28² + 45² = 2809 ; 53² = 2809 ; EQUAL
B. 16² + 63² = 4225 ; 65²= 4225 ; EQUAL
C. 13² + 84² = 7225 ; 85² = 7225 ; EQUAL
D. 11² + 61² = 3842 ; 62² = 3844 ; NOT EQUAL
The answer is letter D.
Answer:
4
Step-by-step explanation:
Lets start by plugging in our (a) value
a^2 + 5a + 4
(-5)^2 + 5(-5) +4
25 - 25 + 4
0 + 4
4 is your final answer!
It is called a Line. It is a straight path that extends forever
Answer:
{-3, 3}
Step-by-step explanation:
x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0. Letting each factor equal zero separately and solving for x, we get x: {-3, 3}
