Answer:
Two straight lines with slopes m and m' are parallel when m = m'
Two straight lines with slopes m and m' are perpendicular when m × m' = - 1.
Step-by-step explanation:
Let us assume that the two non-vertical lines in the slope-intercept form are
y = mx + c ........... (1) and
y = m'x + c' ............ (2)
If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'
Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)
the equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b ) is a point on the line
y + 1 =
(x + 5) is in this form
(a) with slope = 
(b) point on the line = (- 5, - 1 ) = (a, b)
Answer:
5/8 of a quart.
Step-by-step explanation:
That would be 28/32 - 1/4
= 28/32 - 8 /32
= 20/32
= 5/8 of a quart.
Answer: 1/50
Step-by-step explanation:
= 2 * 10^-2 * 2^0
= 2 * 1/10^2 * 1 (2^0=1)
= 2/100
= 1/50
Answer:
Option 3 - 4 miles
Step-by-step explanation:
Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.
To find : How far apart are the police station and the fire station?
Solution :
Let the distance between police station and fire station be 'x'.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
i.e. 
The distance between the library and the police station is 5 miles.
i.e. 



Therefore, The police and fire stations is 4 miles apart.
So, Option 3 is correct.