Answer: Last option.
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you have the Right triangle
given in the picture attached.
You can notice that
goes from the vertex of right angle (
) to the hypotenuse
. Therefore, it divides the hypotenuse into two segments. These are:
and 
Therefore,
is the geometric mean of the segments
and
.
Answer:
Part 1) The exact solutions are
and
Part 2) (1.79, 8.58)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
When solving the system of equations by graphing, the solution of the system is the intersection points both graphs
<em>Find the exact solutions of the system</em>
equate equation A and equation B

The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
so
The solutions are
<em>Find the values of y</em>
<em>First solution</em>
For 


The first solution is the point
<em>Second solution</em>
For 


The second solution is the point
Round to the nearest hundredth
<em>First solution </em>
-----> 
-----> 
see the attached figure to better understand the problem
Answer: 
<u>Step-by-step explanation:</u>
÷ 
=
÷ 
=
x 
= 
Answer: it’s 2
Step-by-step explanation: