Answer:
Step-by-step explanation:
Answer:
Elena's running speed is 5 miles/hour
Explanation:
The speed is defined as the covered distance per unit time
In the problem, we have:
The distance covered is the length (circumference) of the circular track which is given as of a mile.
We are also given that she completes each lap (she completes of a mile) in of an hour
To get her speed, we will divide the distance covered by the time taken to cover this distance
This is done as follows:
speed = miles/hour
This means that:
Elena can run 5 miles each hour
Hope this helps :)
Answer:
1200 seconds per 20 minute study session
Step-by-step explanation:
20 min x 60 sec = 1200 seconds
Answer:
A. See attached diagram
B. (-1,-5)
C. (-1,-5)
Step-by-step explanation:
Part A. See attached diagram
Part B. The commmon point of two graphs is point (-1,-5), then the solution of the system of two equations is x=-1, y=-5.
Part C. Solve the system algebraically. Substitute y=-5 into the second equation:

Then the solution of the system is x=-1 and y=-5.
X^2 + 6x = 7
Divide 6 by 2 and square the result and add to both sides of the equation.
6/2 = 3 3^2 = 9 x^2 + 6x + 9 = 7 + 9
x^2 + 6x + 9 = 16
(x+3)^2 = 16
x+3 = +- Sqrt 16) = +-4
x = -3+4 = 1
x = -3-4 = -7
6 because negative negative equals positive and therefore it’s 6