Answer:
Step-by-step explanation:
<u>Using slope formula to find the value of k:</u>
- (-9 - k)/(-2 - (-4)) = - 9
- (-9 - k)/2 = - 9
- - 9 - k = - 18
- k = 18 - 9
- k = 9
Answer:
2-120
4-240
7-420
Step-by-step explanation:
<em>there are 60 people in each tour group so you multiply 60 by the number of tour groups.</em>
ordered pairs:
<em>(2,120)</em>
<em>(4,240)</em>
<em>(7,420)</em>
hope this helped you!
have a great day!!
Answer:
√25
Step-by-step explanation:
√25 = √(5²) = 5 . . . . a rational number
The other roots are not the roots of perfect squares, so are irrational.
Answer:
y = (-2/3)x + 5/6
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m". To find the value of "b", you can plug the slope and the values from the point (2, -1/2) into the general equation.
m = -2/3
Point (2, -1/2):
x = 2 and y = -1/2
y = mx + b <----- Slope-intercept form
y = (-2/3)x + b <----- Insert -2/3 in "m"
-1/2 = (-2/3)(2) + b <----- Insert "x" and "y" values from point
-1/2 = -4/3 + b <----- Multiply -2/3 and 2
-3/6 = -8/6 + b <----- Give the fractions common denominators
5/6 = b <----- Add 8/6 to both sides
Thus, the equation of the line is:
y = (-2/3)x + 5/6
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 :)
