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:
New mean=71.32
Step-by-step explanation:
The expression for the total initial score is;
T=M×S
where;
T=total initial score
M=mean score
S=number in the set
replacing;
T=unknown
M=72
S=17
replacing;
T=72×17=1,224
The total initial score=1,224
Determine the total score by;
total score=total initial score+total final score
where;
total initial score=1,224
total final score=(68+63)=131
replacing;
total score=1,224+131=1,355
Determine the new mean;
New mean=total score/new number
where;
total score=1,355
new number=(17+2)=19
replacing;
new mean=1,355/19=71.32
Answer:
400 cm squared
Step-by-step explanation:
Since a square has all equal sides, this would mean the the all the other sides are 20 as well. To get the area, you would just multiply 20 by 20 to get 400. :)
Answer:
32 cm^3
Step-by-step explanation:
The cube is 4 across by 4 high by 2 wide
4*4*2 = 32 cm^3
