Answer:
-3/2
Step-by-step explanation:
One can read off the slope of the given line directly from the graph. As x increases by 3, y increases by 2. Thus, the slope of the given line is
m = rise / run = 2 / 3
Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:
-1 3
Slope of perpendicular line = ------------ = - -----
2/3 2
This matches the first of the given possible answer choices.
Answer:
<em>~ 0.375 centimeters of the snowflake in real life ~</em>
Step-by-step explanation:
Let us plan out our steps, and solve for each:
<em>1. Given the information, let us create a proportionality as such:</em>
48 = 1 ⇒ x - centimeters of the snowflake in real life
18 x
<em>2. Now let us cross multiply, and solve through simple algebra for x:</em>
48 * x = 18,
x =<em> 0.375 centimeters of the snowflake in real ife</em>
Answer:
f'(x)=-(x+42)/5
Step-by-step explanation:
Rewrite f(x) as y:
y=-5x-42
Flip x and y and solve for y:
x=-5y-42
x+42=-5y
(x+42)/-5=y
So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)
If 
and 
, then you can replace 
in either equation with the equivalent expression given by the other equation. In this case, you have
and you can solve for 
.
Then 
.
For the second system, you can write
Then substitute this into the second equation and you get
so that
Answer:
Step-by-step explanation:
