Given:
The equation of a line is
...(i)
The perpendicular line passes through the point (-1,4).
To find:
The equation of the perpendicular line.
Solution:
The slope intercept form of a line is:
...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
Product of slopes of two perpendicular lines is -1.
Let the slope of perpendicular line is .
The slope of the perpendicular line is and it passes through the point (-1,4). So, the equation of the line is:
Add 4 on both sides.
Therefore, the equation of required line is .
In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.
In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.
Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.
=12-5=7
=21-12=9
when u look at they have a diffrence of 2 so the answer will have a diffrence of 2 =11
Answer:
1cm: 1 km
Step-by-step explanation:
The scale of the map is simply 1:1
Answer:
graph b is correct
Step-by-step explanation: