Answer:
Step-by-step explanation:
0.5bh = 36
0.5(5b)(5h) = 25(0.5bh) = 25 × 36 = 900 sq cm
Given:
A line passes through (-5,-3) and perpendicular to
.
To find:
The equation of the line.
Solution:
We have,

On comparing this equation with slope intercept form, i.e.,
, we get

It means, slope of this line is
.
Product of slopes of two perpendicular lines is always -1.



Slope of required line is
and it passes through the point (-5,-3). So, the equation of the line is

where, m is slope.






Therefore, the equation of required line is
.
Answer:

Step-by-step explanation:
We are given that,
The fall of the acorn is represented by the function,

Equating S(t) to 0 gives,

i.e. 
i.e. 
i.e. 
Since, time cannot be negative.
So,
i.e. 1.25 seconds is the time when the acorn will reach the ground.
Thus, from the figure below, we see that,
The interval in which the acorn is in the moving air is
.
Answer:
12
Step-by-step explanation:
easy peasy
3x+20=5x+12
-3x -3x
20= 2x +12
-12 -12
8=2x
Divide both sides by two
4=x
It will take four days (this is how to solve algebraically)