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.
I'd suggest you write "6 2/5," not "6 and 2/5."
6 2/5 rotations
-------------------- =
2 2/3 seconds
32
---
5 32 3
------- = ------ * -----
8 5 8 Reduce that 32/8: obtain 4.
---
3
Then we have
4(3)/5, or 12/5 rotations per sec.
Answer:
A and B
Step-by-step explanation:
This is correct on khan academy!
Answer:
<h2>The height is 3.43 centimeters, approximately.</h2>
Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
Where all sectors have equal area.
Now, the area of the whole circle is 
, if we use the formula of its area, we'll find the radius of the circle
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
Therefore, the height is 3.43 centimeters, approximately.
Thats when point =0. equation of a line mx +b where m is the slope
and b is the intercept
