It's equivalent to 0.46 in decimal or 29÷63 in division form.
First: Equations are solved.
is an expression, and expressions can be simplified.
Now suppose
. Imagine a right triangle with one angle (not the one opposite the hypotenuse, of course) labeled
. This relation suggests that

and under the hood, we're assuming that
, because otherwise we wouldn't be able to properly alternate from
to
so seamlessly.
Now,

so the given expression is the same as the tangent of that same angle
.
If
, then in the triangle, the leg opposite the angle
occurs with the length of the hypotenuse in a ratio of
to 2. By the Pythagorean theorem, the remaining side - call it
- satisifies

and we have

For this case, the first thing you should know is that the generic equation of the line is given by:
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
We then have the following equation:

Comparing with the generic equation, we can conclude that the slope of the line is given by:
Answer:
The slope of the line is:

Answer:
A negative slope is for the line running in opposite ways (downwards). And it cannot pass through the origin.

Answer:

Step-by-step explanation:
Question :
Given:
varies directly with 
when 
To find value of
when 
Solution:
From the given data we have:
∝ 
Thus, we have:

where
is the constant of proportionality.
<em>We can find the value of
by plugging in the given values.</em>
when 

Dividing both sides by 2.


∴ 
So, the equation to find
when
will be:

Thus, when
(Answer)