Given:
The equation of a line is:
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
We know that the product of slopes of two perpendicular lines is always -1.
Slope of the required line is 
and it passes through the point (-5,-3). So, the equation of the line is:
Using distributive property, we get
Therefore, the equation of the line is . Hence, option A is correct.
Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
Answer:
Step-by-step explanation:
Given that sale of grills increase 6% per year
CUrrent sale of grills this year = 3300
So in the first year sales would increase by 3300(6%)
Total sales in the I year =3300+3300(6%)
This will be again increasing by 6% in II year and so on.
Hence we have
every year 3300 increases by 6% compoundly
So
No of sales in t year
=
In 6th year sale
s(6) =
2/3 is equivalent to 16/24
and 5/8 is equivalent to 15/24 miles
15/24+16/24= 31/24
31/24 simplifies to 1 6/24
Which simplifies down to 1 1/6
Miles ran 1 and 1/6 miles
