I am giving all of my points away in sections this is the 6th
2 answers:
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Answer:
Step-by-step explanation:
(Let the point where the altitude from intersects
be called as point
.) First, let's find the area of parallelogram
. The area of a parallelogram is simply
, where
is the parallelogram's base and
is the parallelogram's height. If we let
and
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram
will be
.
Now, how does this information matter, you might ask? Well, we can take either <em>or </em>
to be the base and either
or
to be the height. In this case, let's take the latter two options, as we are looking to find the length of
.
Therefore, we know that the area of parallelogram can also be found by calculating
. Since we know the values of the area and
, we can write the following equation to solve for
:
(Substitute
and
into the equation)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Answer:
Step-by-step explanation:
Let's apply the formula (x+y)² = x² + 2xy + y²
Here, x = -a and y = b
So,
= (-a)² + 2(-a)(b) + (b)²
= a² - 2ab + b²
Hence, it has been proved that (-a + b)² = a² - 2ab + b².
Hope this helped!
<h3>~AH1807</h3>
Answer:
4x² - 21x - 18
Step-by-step explanation:
Use FOIL.
Hope this helps.