Answer:
{n*(n+1) } /2
Step-by-step explanation:
The clearest pattern is that the last digit is multiplied by the number after it and then the multiplication is divided by 2.
1 is multiplied by 2, then divided by 2.
2 is multiplied by 3, then divided by 2.
3 is multiplied by 4, then divided by 2.
So, the pattern is:
{n*(n+1) }/2.
Hope this helped!
Answer:
Cost to travel 75 miles = 11.55 $
Explanation:
A scooter can travel between 22 and 28 miles on each gallon of gasoline.
Average distance a scooter can travel with each gallon of gasoline = (22+28)/2 = 25 miles.
One gallon of gasoline costs between $3.75 and 3.95 per gallon.
Average cost for one gallon of gasoline = (3.75+3.95)/2 = 3.85 $
We need to find cost for traveling 75 miles.
Gasoline required = Total miles/ Average distance a scooter can travel with each gallon of gasoline
= 75/25 = 3 gallons.
Cost to travel 75 miles = Gasoline required x Average cost for one gallon of gasoline
= 3 x 3.85
= 11.55 $
The equation of the line passes through the point and has a slope is .
<h3>
What are a line and the slope of a line?</h3>
Line:
- A line has only one dimension i.e., length and no width.
- It is formed with an infinite number of points lying on it.
- It can be extended infinitely along a straight path in both directions.
- An infinite number of lines pass through a given point, and a unique straight line can be drawn if any two points on that line are shown.
The slope of a line:
The slope of a line is the tangent value of the angle i.e., , where is the angle made by the line with the positive -axis.
Equation of a line:
The equation of a line in slope-intercept form is given by , where is the slope of the line and is the intercept of the line.
Here, we want to find the equation of the line which passes through the point and has a slope .
So, put in and obtain .
Now, since the line passes through the point , put and in to obtain:
Therefore, after substituting in , we obtain the required equation of the line that is .
So, the equation of the line that passes through the point and has a slope is .
Answer:
just use the app Math-way it had a feature where you can take a picture of it and it will answer and give an explanation for your problem