Answer: 1/4
Step-by-step explanation: Typing steps
Find the Slope
(−1, −2) , (3, −1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = ---------------
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m = -----------
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
m = −1 − (−2)
/3 − (−1)
Simplify the numerator.
Multiply −1 by −2.
m = −1 + 2
/3 − (−1)
Add −1 and 2.
m = 1/3 − (−1)
Simplify the denominator.
Multiply −1 by −1.
m = 1/3 + 1
Add 3 and 1.
m = 1/4
The distance of the ship from the point of the origin can be determined through the trigonometric functions derived from the given distances and the angle.
If we are to draw the ship with the distances traveled in the Cartesian plane, the abscissa (x-coordinate) and the ordinate (y-coordinate) can be determined as follow:
In the second part of the journey, the angle between the x-axis and the ship should be 90-25° = 65°
x-coordinate = y(cos 65°) = 0.4226y
2nd part of y-coordinate = y(sin 65°) = 0.906y
The first part of the y-coordinate is given to be x.
Thus, the expression that can be used to determine the ship's distance from the original point is,
<em> d = sqrt ((0.4226y)² + (x+0.906y)²)</em>
Answer:
An advatage is that he has a scholorship to pay most of his college or school, but a disadvantage is that he will need to pay back his student loan.
Step-by-step explanation:
hope this helps :)
Answer:
f(200) =116
f(200) is the cost to rent the moving van and drive it 200 miles
Step-by-step explanation:
f(x) = 90 + 0.13x
Let x = 200
f(200) = 90+ .13(200)
=90+26
=116
f(200) is the cost to rent the moving van and drive it 200 miles
I believe this is right but I’m not 100%