We know that
if <span>QT is an altitude of triangle QRS
then
</span><span>the measure of angle QTS is equal to 90</span>°
so
6x+36=90-----> 6x=90-36----> x=54/6
x=9
QR=2x-5-----> QR=2*9-5-----> QR=18-5-----> QR=13
the answer is
QR=13
Answer:
Step-by-step explanation:
4 for the second one and 2 for the second
Answer:
The graph of the function
has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have

Convert to vertex form

Factor the leading coefficient





The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function
has a minimum located at (4,-3)
Find the area of the top ( circle) then multiply by the height.
Area = pi x r^2
Area = pi x 7^2
Area = 49pi
Volume = 49pi x 15
Volume = 735pi cubic cm.