Answer:
8 hours
Step-by-step explanation:
Subtract the initial fee from the total cost
Divide the hourly rate by the cost after the fee
Joan rented the bike for 8 hours
Fine the slope of the line perpendicular to Y=-1/2x -2
2 answers:
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Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
<h3>What is a distance formula?</h3>It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
The question is:
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5
5 = 4 + (6 + k)²
After solving:
(6 + k)² = 1
k = -5 or -7
Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
Learn more about the distance formula here:
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