Martin charges $10 for every 5 bags of leaves he rakes
1 answer:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
- Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>
We can identify clearly that the slope of the line is , as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:
<u>2) Determine the y-intercept of line S (b)</u>
Plug in the given point (-4,3) and solve for b
Subtract 1 from both sides to isolate b
Therefore, the y-intercept is 2. Plug this back into :
I hope this helps!
Answer: The equation of the parabola is .
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,
Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,
On comparing,
.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),
Put this value in (1).
Put p= -6, h= -5 and k=1 in the standard form of the parabola.
Therefore, the equation of parabola is .
Answer:
The equation gives average time spent on 35 rehearsals.
Step-by-step explanation:
We are supposed to find that what question does the equation finds answer of.
We can see that 35x represents time spent on 35 rehearsals and is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.
Now let us solve our equation step by step.
After subtracting hours from 190 hours we will get time spent on 35 rehearsals.
Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.
Therefore, equation finds average time spent on 35 rehearsals.